Pathway to Introductory Statistics 1st Edition by Lehmann - Test Bank

Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Respond to the question by using complete sentences. 1) Let n be the number (in thousands) of fans who attend a baseball game. What does n = 35 mean in 1) this situation? A) 35 fans attended the baseball game. B) 35,000 fans attended the baseball game. C) There are 35,000 seats at the baseball field. D) There are 35 seats at the baseball field. 2) Let p be the percentage of college students who participate in athletics. The value of p is about 35 2) for 2006. What does p = 35 mean in this situation? A) In 2006, about 35% of college students participated in athletics. B) In 2006, college students participated in athletics. C) In 2006, about 35 college students participated in athletics. D) In 2006, about 0.35% of college students participated in athletics. 3) Let p be a company's annual profit (in millions of dollars). What does p = -10 mean in this 3) situation? A) The company made $10. B) The company lost $10. C) The company made $10 million. D) The company lost $10 million. 4) Let t be the number of years since 2000. What does t = 1 mean in this situation? 4) A) The statement t = 1 represents the year 1999. B) The statement t = -1 represents the year 1999. C) The statement t = -1 represents the year 2001. D) The statement t = 1 represents the year 2001. 5) Let t be the number of years since 2000. What does t = -7 mean in this situation? 5) A) The statement t = -7 represents the year 2007. B) The statement t = -7 represents the year 1993. C) The statement t = 7 represents the year 2007. D) The statement t = 7 represents the year 1993. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Choose a variable name for the given quantity. Give two numbers that the variable can represent and two numbers that it cannot represent. 6) The weight (in pounds) that a person weighs after a diet 6) 7) The annual salary (in thousands of dollars) of a college graduate 7) 1 Solve the problem. 8) A rectangle has an area of 72 square feet. Let W be the width (in feet), L be the length (in feet), 8) and A be the area (in square feet). a. Sketch three possible rectangles of area 72 square feet. b. Which of the symbols W, L, and A are variables? c. Which of the symbols W, L, and A are constants? 9) The perimeter of a rectangle is the sum of the lengths of all four sides. A rectangle has a 9) perimeter of 36 yards. Let W be the width, L be the length, and P be the perimeter, all units in yards. a. Sketch three possible rectangles of perimeter 36 yards. b. Which of the symbols W, L, and P are variables? c. Which of the symbols W, L, and P are constants? 10) The length of a rectangle is twice the width. Let W be the width, L be the length, and P be the 10) perimeter, all units in feet. a. Sketch three possible rectangles in which the length is twice the width. b. Which of the symbols W, L, and P are variables? c. Which of the symbols W, L, and P are constants? 11) The width of a rectangle is 4 inches. Let W be the width (in inches), L be the length (in inches),11) and A be the area (in square inches). a. Sketch three possible rectangles of width 4 inches. b. Which of the symbols W, L, and A are variables? c. Which of the symbols W, L, and A are constants? MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the numbers on a number line. 11 11 12) - ,-1,1, A) -4 -3 -2 -1 0 1 2 3 4 5 C) 12) 33 B) D) 6 7 8 9 10 5 6 7 8 9 -3 -2 -1 0 1 2 3 4 5 6 2 13) {-3.75, -1, 1, 3.25} 13) -4 A) C) -3 -2 -1 0 1 2 3 4 5 -4 -3 -2 -1 0 1 2 3 4 5 -4 -3 -2 -1 0 1 2 3 4 5 B) D) B) D) B) D) B) D) -4 -3 -2 -1 0 1 2 3 4 5 -4 -3 -2 -1 0 1 2 3 4 5 14) Counting numbers between 2 and 7 -2 -1 0 1 2 3 4 5 6 7 8 A) -2 -1 0 1 2 3 4 5 6 7 8 C) 14) -2 -1 0 1 2 3 4 5 6 7 8 -2 -1 0 1 2 3 4 5 6 7 8 -2 -1 0 1 2 3 4 5 6 7 8 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 15) Integers between -3 and 3, inclusive 15) -5 A) C) -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 16) Integers between -4 and 1, inclusive 16) -5 A) C) -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 3 17) Negative integers between -5 and 5 17) -5 A) C) -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 B) D) B) D) -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 18) Positive integers between -5 and 5 18) -5 A) C) -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -4 -3 -2 -1 0 1 2 3 4 5 Which of the numbers are the given type of number? 57 19)19, 7,-15,0, ,- ,7.6, 4 19) 20) 21) 75 Integers A)19,0 20)4, 5,-11,0, 12,-2,5.6, Counting numbers 25 B)19,0, 4 B)4,0 C)19,-15,0, 4 C)4,0, 25 D)19,-15,0 D)4, 25 A)-11,0,4 21)15, 7,-6,0, 07, Real numbers A)15,-6,0, 07 16 C)15, 7,-6,0, 07, 16 16 4 B)15,-6,0, D)15,-6,0, 07, 16 22)19, 5,-2,0, 07, Rational numbers A) 5,07,0.25 C) 5, 4 23)15, 5,-6,0, 07, 4,0.25 9,0.05 B)19,0, 4 D)19,-2,0, 07, C) 5,0.05 4,0.25 22) 23) Irrational numbers A) 5, 9 B) 5 D) 5, 9,0.05 5 Plot the given point in a coordinate system. 24) (6, 5) -6 A) 24) -4 -2 y 6 4 2 -2 -4 -6 2 6 4 2 -2 -4 -6 6 4 2 -2 -4 -6 4 6 x B) y y 6 4 2 C) D) -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 4 2 6 x y y -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 x 6 25) (-3, 2) 25) -6 A) -4 -2 y 6 4 2 -2 -4 -6 2 6 4 2 -2 -4 -6 6 4 2 -2 -4 -6 4 6 x B) y y 6 4 2 C) D) -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 4 2 6 x y y -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 x 7 26) (4, -1) 26) -6 A) -4 -2 y 6 4 2 -2 -4 -6 2 6 4 2 -2 -4 -6 6 4 2 -2 -4 -6 4 6 x B) y y 6 4 2 C) D) -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 4 2 6 x y y -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 x 8 27) (-4, -6) 27) -6 A) -4 -2 y 6 4 2 -2 -4 -6 2 6 4 2 -2 -4 -6 6 4 2 -2 -4 -6 4 6 x B) y y 6 4 2 C) D) -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 4 2 6 x y y -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 x 9 28) (0, 4) 28) -6 A) -4 -2 y 6 4 2 -2 -4 -6 2 6 4 2 -2 -4 -6 6 4 2 -2 -4 -6 4 6 x B) y y 6 4 2 C) D) -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 4 2 6 x y y -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 x 10 29) (2, 0) 29) -6 A) -4 -2 y 6 4 2 -2 -4 -6 2 6 4 2 -2 -4 -6 6 4 2 -2 -4 -6 4 6 x B) y y 6 4 2 C) D) -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 4 2 6 x y y -6 -4 -2 2 4 6 x -6 -4 -2 2 4 -2 -4 -6 6 x 11 Identify the coordinates of each point labeled in the figure. 30) 30) 31) 31) -8 -6 -4 -2 4 2 -2 -4 -6 -8 2 4 A 6 8 x B 6 A) A(7, 1); B(7, -4) C) A(7, 1); B(-4, 7) B) A(1, 30); B(7, -4) D) A(7, 7); B (1, 7) y 8 y 8 6 4 C 2 32) -8 32) -8 -6 -4 -2 2 4 6 8 x A) C(2, 4); D(-6, 3) C) C(-6, -6); D(2, -6) B) C(-6, 2); D(-6, 3) D) C(-6, 2); D(3, -6) -2 -4 D -6 -8 y 8 6 4 2 -2 F -4 -6 -8 E -6 -4 -2 2 4 6 8 x A) E(-6, -4); F(3, -4) C) E(3, 4); F(-4, -5) B) E(-6, 3); F(-5, -4) D) E(-6, 3); F(-4, -5) 12 33) 33) H -8 -6 -4 -2 2 4 6 8 x y 8 6 4 2 -2 -4 -6 -8 G A) G(4, 6); H(-7, 2) C) G(4, 6); H(2, -7) B) G(6, 24); H(2, -7) D) G(4, 2); H(6, 2) B) False B) False B) False B) False 7 7 7 7 Decide whether the given inequality is true or false. 34) -4 > -6 A) True 35) -6 ≤ -1 A) True 36) 8 ≤ 8 A) True 37)-4 >-4 A) True Graph the given inequality. 38) x > 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 34) 35) 36) 37) 38) A) B) C) D) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 4 5 6 4 5 6 4 5 6 13 39) x < -2 39) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 A) B) C) D) 40) x ≥ -4 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 7 7 7 7 7 7 7 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 40) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 A) B) C) D) 14 41) x ≤ -6 41) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 A) B) C) D) 42)0<x 42) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 A) B) C) D) Evaluate the expression for the given value. -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 43)54+y fory=13 A) 76 44)x-x forx=45 A) 0 45)x÷5 forx=265 A) 56 46)y÷y fory=3 A) 3 B) 85 B) -1 B) 55 B) -1 C) 67 C) 1 C) 53 C) 0 D) 94 D) 45 D) 51 D) 1 43) 44) 45) 46) -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 15 47)0÷x forx=212 A) 1 48) 4x, for x = 7 A) 28 49) x(9), for x = 3 A) 39 Solve the problem. B) -1 B) 74 B) 93 C) 0 C) 11 C) 27 D) 212 D) 47 D) 12 47) 48) 49) 50) Each ounce of gold is worth $38. (i) Complete the table to find an expression that describes the total value (in dollars) of n ounces of gold. Show the arithmetic to help you see a pattern. (ii) Evaluate the expression you found in part (i) for n =5. What does your result mean in this situation? Number of Ounces and Total Value 50) Number of Ounces 1 2 3 4 n Total Value (dollars) A) (i) Number of Ounces and Total Value Number of Ounces 1 2 3 4 n B) (i) Number of Ounces and Total Value Total Value (dollars) -3 38-4 38 - n (ii) 33; $33 is the total value of 5 ounces of gold priced at $38 per ounce. Number of Ounces 1 2 3 4 n Total Value (dollars) 38÷1 38÷2 38÷3 38÷4 38÷n (ii) 7.60; $7.60 is the total value of 5 ounces of gold priced at $38 per ounce. 16 C) (i) Number of Ounces and Total Value Number of Ounces 1 2 3 4 n Total Value (dollars) 38+1 38+2 38+3 38+4 38+n (ii) 43; $43 is the total value of 5 ounces of gold priced at $38 per ounce. D) (i) Number of Ounces and Total Value Number of Ounces 1 2 3 4 n 51) Each customer of a photography studio pays a sitting fee of $20. 51) (i) Complete the table to find an expression that describes the total cost (in dollars) of a photograph package plus the sitting fee if a customer pays p dollars for a photograph package. Show the arithmetic to help you see a pattern. (ii) Evaluate the expression you found in part (i) for p = 171. What does your result mean in this situation? Cost of Photograph Package and Total Cost Total Value (dollars) 38 ∙ 1 38 ∙ 2 38 ∙ 3 38 ∙ 4 38n (ii) 190; $190 is the total value of 5 ounces of gold priced at $38 per ounce. Cost of Photograph Package 109 110 111 112 p Total Cost (dollars) A) (i) Cost of Photograph Package and Total Cost Cost of Photograph Package 109 110 111 112 p (ii) 3420; If the photograph package is $171, then the total cost is $3420. Total Cost (dollars) 109 + 20 110 + 20 111 + 20 112 + 20 p + 20 17 B) (i) Cost of Photograph Package and Total Cost Cost of Photograph Package 109 110 111 112 p (ii) 8.55; C) (i) Cost of Total Cost (dollars) 109+20 110+20 111+20 112+20 p + 20 If the photograph package is $171, then the total cost is $8.55. Photograph Package and Total Cost Cost of Photograph Package 109 110 111 112 p (ii) 151; If the photograph package is $171, then the total cost is $151. D) (i) Cost of Photograph Package and Total Cost Total Cost (dollars) 109+20 110+20 111+20 112+20 p + 20 Cost of Photograph Package 109 110 111 112 p (ii) 191; If the photograph package is $171, then the total cost is $191. Let x be a number. Translate the English phrase or sentence into a mathematical expression. Total Cost (dollars) 109 + 20 110 + 20 111 + 20 112 + 20 p + 20 52) The total of 5 and a number A) 5 B) 5x 53) The sum of a number and 145 A)x-145 B)x+145 C)5-x C) 145 C)3x C)x-68 C)2+x D) 5 + x D) 145x D) 3 ÷ x D) x + 68 D) 2 - x 52) 53) 54) 55) 56) 54) 3 times a number A) 3 + x 55) 68 less than a number A)68 ÷x B) 3 - x B)68-x 56) The product of 2 and a number A) 2 ÷ x B) 2x 18 57) Subtract 71 from a number A)71-x B)x-71 58) The difference of a number and 67 A)67-x B)x-67 59) 47 decreased by a number A)47÷x B)47-x 60) Divide a number by 51 A) 51÷x B)51x 61) The quotient of 37 and a number 57) 58) 59) 60) 61) 62) 63) 64) 65) 66) 67) 68) D) The difference between a number and 20 A)x-37 62) A number increased by 22 A) x - 22 63) Two more than a number A) x ÷ 2 64) Eleven less than a number A) x - 11 65) Divide a number by two A) 2 ÷ x 66) A number decreased by four A) 4 - x B) 37÷x B)22÷x B) x + 2 B)11-x B) 2 - x B ) 4x C) 71 C) 67 C)x-47 C)x-51 C)37-x C)x+22 C)x-2 C) 11x C)2x C)x-4 D) 71x D) 67x D) 47 + x D) x ÷ 51 D) x÷37 D) 22x D) 2x D) x ÷ 11 D) x ÷ 2 D) x + 4 Let x be a number. Translate the expression into an English phrase. 67) 142 + x A) Multiply 142 by a number. C) Divide 142 by a number. 68) x + 20 A) The sum of a number and 20 C) The product of a number and 20 69) 7x A) 7 times a number C) 7 minus a number 70) x - 62 A) 62 increased by a number C) 62 less a number B) The total of 142 and a number D) The difference of 142 and a number B) The quotient of a number and 20 B) 7 plus a number D) 7 divided by a number B) 62 less than a number D) 62 plus a number 69) 70) 19 71) 3x A) The product of 3 and a number C) The sum of 3 and a number 72) x - 24 A) The ratio of 24 and a number C) Subtract a number from 24 73) x - 52 A) The sum of a number and 52 C) The difference of a number and 52 74) 30- x A) 30 decreased by a number C) A number decreased by 30 75) x ÷ 46 A) The quotient of 46 and a number C) Divide a number by 46 76) 43÷x A) The ratio of a number to 43 C) The quotient of a number and 43 77) x + 57 A) A number increased by 57 C) A number divided by 57 78)x+9 A) Nine less than a number C) Nine divided by a number 79) x - 10 A) Ten less than a number C) Ten more than a number 80)9÷x A) Nine added to a number C) Nine multiplied by a number 81)x-7 A) A number plus seven C) seven minus a number Evaluate the expression for the given values. 82)x+y forx=14,y=23 A) 73 B) 46 B) Divide a number by 3. D) The quotient of 3 and a number B) 24 multiplied by a number D) Subtract 24 from a number B) The quotient of a number and 52 D) The difference of 52 and a number B) A number less 30 D) 30 less than a number B) The ratio of 46 to a number D) Divide 46 by a number. B) Divide a number by 43. D) The quotient of 43 and a number B) A number multiplied by 57 D) A number decreased by 57 B) Nine times a number D) Nine more than a number B) Ten minus a number D) Ten decreased by a number B) Nine decreased by a number D) Nine divided by a number B) A number decreased by seven D) A number increased by seven C) 55 D) 37 71) 72) 73) 74) 75) 76) 77) 78) 79) 80) 81) 82) 20 83)x÷y forx=174,y=3 A) 61 84) xy, for x = 8, y = 4 A) 84 85)x∙ y forx= 3,y=95 A) 278 Solve the problem. B) 56 B) 12 B) 385 C) 58 C) 48 C) 285 D) 60 D) 32 D) 275 83) 84) 85) 86) Translate the phrase into a mathematical expression then evaluate 14. The sum of x and y A) x + y; 76 B) x + y; 67 C) x + y; 94 87) Translate the phrase into a mathematical expression then evaluate = 9. The quotient of x and y A) x ÷ y; 52 B) x ÷ y; 53 C) x ÷ y; 48 88) Translate the phrase into a mathematical expression then evaluate 9. The product of x and y A)x÷y; 79 B)y÷x; 97 C)xy;63 the expression for x = 53 and y = 86) D) x + y; 85 the expression for x = 450 and y 87) D) x ÷ y; 50 the expression for x = 7 and y = 88) D)x+y;16 89) For the period , if M is the average math SAT score (in points) for a certain year, then 89) the average verbal SAT score (in points) for that year is approximately M + t where t is the number of years since 2000. The average math SAT score was 489 points in 2005. Estimate the average verbal SAT score in 2005. A) 504 points B) 499 points C) 494 points D) 489 points 21 90) A person drives 62t miles in t hours. 90) (i) Evaluate 62t for t = 1, t = 2, t = 3, and t = 4. Describe the meaning of your results. (ii) Refer to your results to part (i) to determine at what speed the person is traveling. A) (i) 62, 124, 186, 248; The person drives 62 miles in 1 hour, 124 miles in 2 hours, 186 miles in 3 hours, 248 miles in 4 hours. (ii) The person is driving 62 miles per hour. B) (i) 62, 31.0, 20.7, 15.5; The person drives 62 miles in 1 hour, 31.0 miles in 2 hours, 20.7 miles in 3 hours, 15.5 miles in 4 hours. (ii) The person is driving 62 miles per hour. C) (i) 124, 186, 248, 310; The person drives 124 miles in 1 hour, 186 miles in 2 hours, 248 miles in 3 hours, 310 miles in 4 hours. (ii) The person is driving 62 miles per hour. D) (i) 63, 64, 65, 66; The person drives 63 miles in 1 hour, 64 miles in 2 hours, 65 miles in 3 hours, 66 miles in 4 hours. (ii) The person is driving 63 miles per hour. 91) Kevin and Amir share in the profits of a pet supplies store. If the total profit is $30,000 and p is the 91) amount of profit Kevin receives, write an expression for the amount Amir receives. A) p + $30,000 B) $30,000 + p C) $30,000 - p D) p - $30,000 92) Keerti found that he had y quarters in his pocket. Write an expression that represents this quantity 92) of money in cents. A)y+25 B)25 C)25y D) y y 25 93) A motorcycle shop maintains an inventory of three times as many new bikes as used bikes so that if 93) n is the number of new bikes, there are n ÷ 3 used bikes at the shop. If there are 75 new bikes, how many used bikes are now in stock? A) 50 used bikes B) 38 used bikes Write the number as a product of primes. C) 225 used bikes C)3∙5 C)3∙5 C)6∙25 C)3∙5∙7∙7 C)2∙2∙3∙5 D) 25 used bikes D)3∙3∙5 D)3∙3 D)5∙25 D)5∙5∙3 D)3∙3∙3∙5 94) 45 A) 9 ∙ 3 95) 45 A) 3 ∙ 5 ∙ 5 96) 115 A) 22 ∙ 7 97) 105 A) 3 ∙ 5 ∙ 7 98) 90 A) 2 ∙ 3 ∙ 5 B) 5 ∙ 5 B) 3 ∙ 3 ∙ 5 B) 5 ∙ 23 B) 3 ∙ 3 ∙ 7 B) 2 ∙ 3 ∙ 3 ∙ 5 94) 95) 96) 97) 98) 22 Simplify. 99) 3 99) 12 A) 1 B)3 3 12 C)1 D)4 4 3 100) 12 100) 27 A) 4 B)4 3 9 9 27 101) 77 88 A) 11 B) 77 8 88 102) 30 70 A) 3 B)3 7 10 103) 60 100 A) 20 B)3 5 20 104) 55 90 A) 5 18 90 105) 85 60 A) 12 5 60 C)7 11 C) 10 7 70 C)3 D) 60 5 100 101) 102) 103) 104) 105) 106) 107) 106) 27 36 A) 43 Perform the indicated operation. 107) 1 ∙ 2 59 A) 3 14 45 B) 55 D) 11 5 D) 17 12 D) 94 B) 85 B ) 19 B) 2 D) 10 23 C)3 D) 12 C) 11 18 C) 12 17 C ) 34 C) 45 2 9 D)7 8 D) 30 108) 109) 110) 111) 112) 113) 114) 115) 116) 9∙1 108) 86 A) 49 B) 19 48 16 C)1 D)3 16 16 37∙2 109) 18 A) 2÷ 11 A) 7÷ 15 A) 7÷ 15 A) 15÷ 86 A) 9 20 32÷4 77 A) 13 2 14÷7 5 A) 15 15 + 45 A) 5 C)4 D) 28 73 B)37 189 9 7 10 18 77 9 10 14 25 1 2 8 17 B) 20 75 B) 13 27 B)7 30 B)9 8 32 110) 111) 112) 113) 114) 115) 116) 20 B)5 5 10 B)9 B ) 35 C)7 C ) 24 C)1 2 24 C) 20 77 C) 12 27 C) 14 15 D) 19 77 D) 14 27 D) 30 7 D)9 16 D)8 D) 25 D)1 C) 18 117) 118) 119) 120) 121) 122) 123) 124) 125) 19 + 59 A) 23 9+ 9 25 25 A) 18 25 25 41 - 88 A) 3 4 2 8 16 117) 118) 119) 120) 121) 122) 123) 124) 125) 13 3 14 14 34 59 - 27 59 - A) 10 14 B)5 C) 10 D) 10 7 0 28 A) 7 59 6+6 17 17 A) 13 18 11+ 13 70 70 A) 11 35 38 + 17 A) 29 A) 4 9 72 73 - 98 56 C) 11 16 C) 11 34 C) 29 15 C)1 18 D) 12 17 D) 13 36 D)4 56 D) 29 9 B ) 12 C ) 13 C) 17 24 D) 34 D) 19 26 B) 17 B)1 C)3 D)3 B) 61 59 B) 11 17 B) 12 35 B)4 15 C)7 D) B) 29 25 126) 11 - 8 11 A) 1 B)3 8 88 51 - 64 A) 1 6 12 126) 127) 128) 129) 130) 131) 132) 133) 134) 47 + 15 A) 27 C)1 D)3 88 8 C)1 D)5 7 12 C)7 D)2 3 3 127) 128) 129) 130) 131) 132) 133) 134) 1 +1 5 30 A)7 30 51 B)1 15 B) 12 35 B) 19 80 B)2 3 21 14 10 - D)6 25 D)2 35 A) 9 70 53 16 40 - A) 11 40 9+1 14 6 A) 17 10 98 - 5 15 A) 19 15 4 + 38 A) 35 D) 1 B) 33 35 35 B)7 B) 19 75 D)1 B)7 C)53 D)3 888 26 C)2 35 C)9 35 C) 19 640 40 D)5 21 C) 19 5 15 C) 17 3 4 21 136) -4 136) 5 7 137) 10 - 137) 135) 2 - A) B) C)- D) 135) 138) 20 20 A) 1 B) 20 B) 1 26 B) 33 B) 32 B) 128 B) 1 C) 1 20 C) 25 C) 0 C) 1 32 C) 1 128 C) 0 D) 0 D) undefined D) undefined D) undefined D) undefined D) undefined 138) 139) 140) 141) 142) 143) 139) 26 1 A) 140) 0 33 A) 141) 32 0 A) 142) 128 1 A) 143) 405 0 A) 26 1 33 0 0 1 20 A) 17 B) 101 C) 17 D) 1 555 8 A) 3 B) 87 C) 7 D) 73 8828 Perform the indicated operation. If the fraction is undefined, say so. 27 144) A) 0 145) 119 ∙ B) 1 9109 C) 1 D) undefined D) undefined D) undefined D) 0.00 D) 0.76 D) 30 D) 0.41 D) 1.32 D)3 D) 15 144) 145) 146) 147) 148) 149) 150) 151) 152) 153) 146) 103 111 - 103 111 235 372 - 123 565 A) 0 B) 121 C)1 B) 0 C)1 A) 1 111 Use a calculator to compute. Round the result to two decimal places. 147) 148) 149) 150) 151) 2∙8 97 82 A) 0.90 15∙19 17 22 A) 7.31 24÷ 28 35 25 A) 4.29 B) 0.15 B) 0.09 B) 1.00 B) 0.00 B) 0.00 C) 0.10 C) 0.87 C) 0.61 C) 0.85 C) 0.67 C) 7 C) 27 A) 0.58 769 + A) 1.35 Evaluate the expression for the given value or values. 152) yz,fory=21andz=3 A) -3 153) x5 + y5 A) 7 B) -7 B) 35 forx=10,y=25 28 154) wx ÷ yz forw=7,x=1,y=4andz=7 A) 1 B) 4 155) y ∙ w for w = 7, x = 1, y = 4 and z = 7 zx 154) 155) C) 1 A) 4 B) 4 49 4 4 4 49 D) 4 xy - for w = 8, x = 7, y = 8 and z = 56 156) wz A) 41 B) 41 C) 57 D) Solve. Write the answer in simplest form. 157) A rectangular picture has a width of 8 foot and a length of 1 foot. What is the area of this picture? 157) 11 4 A) 8 square foot B) 2 square foot C) 3 square foot D) 8 square foot 44 11 5 15 Solve. Simplify the answer. 158) The probability that an event does not occur may be found by subtracting the probability that the 158) event does occur from 1. If the probability that Luis passes his driving test is 79 , what is the probability that he does not pass his driving test? A) 97 B) 29 C) 17 D) 19 Solve the problem. 159) A tutor charges $89 for a tutoring session that lasts for t hours. Complete the table to help find an 159) expression that describes the cost (in dollars) per hour. (Show the arithmetic in order to see a pattern.) Total Time Cost per Hour (hours) (dollars per hour) 2 3 4 5 t 156) C) 1 D) 49 29 A) Total Time Cost per Hour B) Total Time Cost per Hour 4 5 t C) 4 + 89 5 + 89 t + 89 (hours) (dollars per hour) 2 2 + 89 3 3+89 (hours) 2 3 4 5 t (dollars per hour) 89 2 89 3 89 4 89 5 89 t 160) The maintenance crew at an amusement park has to fence in a triangular area. long, and a second side is 61 yards long. If the crew has 519 feet of fencing, how many yards of fencing will be left over for the third side? A) 147 yd B) 395 yd C) 49 yd 161) Suppose that you walk 8 mi. Express this distance in yards. A) 1408 yd B) 14,080 yd C) 800 yd D) 8000 yd 162) An airplane is cruising at an altitude of 15,840 ft. What is the plane's altitude in miles? 162) A) 6 mi B) 4 mi 163) Runners in a 4 km race run how many miles? A) 2.5 mi B) 2.0 mi C) 3 mi D) 2 mi C) 6.4 mi 164) Mustaf flew his helicopter at a speed of 90 km/hr. Express this speed in miles per hour. 164) A) 1440 mi/hr B) 56.3 mi/hr C) 5.6 mi/hr 165) Sally's dog weighs 6.25 pounds . How many ounces is this? D) 144 mi/hr D) 12 165) A) 87.5 B) 100 C) 0.39 30 D) Total Time Cost per Hour (hours) (dollars per hour) 2 2∙89 3 3 ∙ 89 4 4 ∙ 89 5 5 ∙ 89 t t ∙ 89 Total Time Cost per Hour (hours) 2 3 4 5 t (dollars per hour) 2 89 3 89 4 89 5 89 t 89 One side is 63 yards 160) D) 297 yd 161) D) 4.2 mi 163) Compute. 166) Syed plans to climb a mountain which is 5420 meters high. What is the height of the mountain in 166) feet? Round to the nearest foot. A) 5908 ft B) 17,778 ft C) 1653 ft 167) Bill is driving at a speed of 75.6 ft/sec. What is his speed in miles per hour? A) 110.9 mi/hr B) 121.7 mi/hr C) 46.9 mi/hr D) 16,260 ft D) 51.5 mi/hr 167) 168) Lu Na's car gets 20 miles to the gallon on the highway. How many kilometers per liter does she get 168) on the highway? Round to the nearest hundredth. A) 47.00 kilometers per liter B) 122.04 kilometers per liter C) 8.50 kilometers per liter D) 3.27 kilometers per liter 169) Karen and Ivan traveled at 90 kilometers/hour for 4.8 hours. Their total trip will be 670 miles long. 169) How many miles do they still need to travel? (Round your answer to the nearest whole mile, if necessary.) 170) -(-21) A) 1 171) -(-5) A) 1 172) -(-19) A) 19 173) -(-(-17)) A) 17 Find the sum. 174) -11 + (-8) A) 3 175) -9 + (-22) A) 31 176) -47 + (-24) A) -23 177) -33 + (-33) A) 66 1 19 170) 171) 172) 173) 174) 175) 176) 177) A) 238 mi B) 647 mi B) 1 21 B) 5 B) - B) 1 17 B) -3 B) 13 B) 23 B) -33 C) 402 mi C) -21 C ) 15 C)0 C) -17 C) 19 C) -31 C) 71 C)0 D) 614 D) 21 D) -5 D) -19 D) 0 D) -19 D) -13 D) -71 D) -66 mi 31 178) -4 + (-62) A) -66 179) -30 + (-160) A) 130 180) -484 + (-629) A) -1113 181) -6.6 + (-10.0) A) -3.4 182) -8.9 + (-2.3) A) -11.2 B) 66 B) -190 B) 145 B) 3.4 B) 6.6 C) -58 C) 190 C) -145 C) -16.6 C) -6.6 D) 58 D) -130 D) -45 D) 16.6 D) 11.2 178) 179) 180) 181) 182) 183) 184) 185) 186) 187) 188) 189) 190) 12 183)- +- 743 940 189) ∣13∣ A) - 190) ∣-10∣ A) - 455 846 188) - Compute. + - A) -0.67 25 9911 A) B) - C) - D) 11 184)- +- 33 21 A) - B) - C) - 1 Use a calculator to find the sum. Round the result to two decimal places. D) 0 D) -19.05 D) 178.93 D) -106,153.24 D) 1.33 D) 0 D) -10 33 185) -25.23 + (-6.18) A) 19.05 186) -147.35 + (-31.58) A) -115.77 187) -11,259.46 + -94,893.78 A) -83,634.32 B) 31.41 B) -178.93 B) 83,634.32 B) -1.33 B) -13 B) 0 C) -31.41 C) 115.77 C) 106,153.24 C) -12.74 C) 13 C) 10 1 13 1 10 32 191) |-11| A) 0 192) -|22| A) 22 193) -∣9∣ A)-9 194) -∣-3∣ A) 0 Find the sum. 195) 12 + (-14) A) 2 196) -4 + 13 A) 9 197) 11 + (-8) A) 19 198) -10 + 18 A) 28 199) 13 + (-33) A) 46 200) -33 + 20 A) 13 201) 8 + (-8) A) 0 202) 11 + (-74) A) -85 203) -47 + 32 A) 15 204) 53 + (-158) A) -105 B) 11 B)0 B)9 B)- B) -26 B)-9 B)-3 B)-8 B) 20 B) 53 B) 16 B) 85 B) -79 B) 211 1 11 C)1 22 1 9 C)-2 C) -17 C) -19 C) -28 C) -46 C) -53 C)8 C) 63 C) -15 C) -211 191) 192) 193) 194) 195) 196) 197) 198) 199) 200) 201) 202) 203) 204) 1 3 C)- C)3 33 C)- D) -11 D) -22 D)0 D) -3 D) 26 D) 17 D)3 D)8 D) -20 D) -13 D) -8 D) -63 D) 79 D) 105 205) -51 + 140 A) 191 206) -155 + 858 A) 703 207) -718 + 375 A) 243 208) 50,942 + (-50,942) A) 0 209) 8.3 + (-21.1) A) 12.8 210) 5.6 + (-9.9) A) -4.3 211) -2.6 + 14.7 A) 17.3 B) 89 B) -703 B) 343 B) -42 B) -29.4 B) -15.5 B) 12.1 C) -191 C) -1013 C) - 343 C) 101,884 C) -12.8 C) 15.5 C) -17.3 D) -89 D) 603 D) -1093 D) -101,884 D) 29.4 D) 4.3 D) -12.1 205) 206) 207) 208) 209) 210) 211) 212) 47 212) +- 5 10 33 214) +- 214) 215) 216) 217) 1313 A) B) - C) - D) 25 25 215) 632.25 + (-50.99) A) 683.24 216) -7.97 + 31.06 A) -23.09 217) -105.56 + 46.39 A) -58.17 B) -581.26 B) -39.03 B) -59.17 C) 582.25 C) 39.03 C) -151.95 10 2 10 2 11 213)- + 213) 42 1313 A) B) C) - D) - D) 0 D) 581.26 D) 23.09 D) 140.00 4444 6 12 6 A) B) C) - 25 25 25 Use a calculator to find the sum. Round the result to two decimal places. 34 ) +- 303 554 A) 0.73 B) 0.18 C) 1.24 D) -0.63 Solve the problem. 218) 219) A check register is shown in the table below. Find the final balance of the checking account. 219) Check Register Check Description of NumberDate Transaction 12/20 Paycheck 1752 12/22 Petcom Payment Deposit Balance 1753 12/22 Park & Shop208.17 1/02ATM 1/09Rebate 150.00 29.58 642.15 23.44 -73.50 A) Check Register Check NumberDate Transaction Payment Description of 12/20 Paycheck Deposit Balance 642.15 -715.65 1752 12/22 1753 12/22 Petcom 23.44 -73.50 -692.21 -484.04 -334.04 29.58 -363.62 Park & Shop208.17 1/02ATM 150.00 1/09Rebate The final balance of the checking account is B) Check Register Check Description of NumberDate Transaction Payment 12/20 Paycheck -363.62 dollars. Deposit Balance 642.15 -73.50 568.65 592.09 1752 12/22 1753 12/22 Petcom 23.44 Park & Shop208.17 1/02ATM 150.00 800.26 950.26 979.84 1/09Rebate The final balance of the checking account is C) Check Register Check Description of NumberDate Transaction Payment 12/20 Paycheck 29.58 979.84 dollars. Deposit Balance 642.15 -73.50 568.65 545.21 1752 12/22 1753 12/22 Petcom 23.44 Park & Shop208.17 1/02ATM 150.00 337.04 187.04 157.46 1/09Rebate The final balance of the checking account is 29.58 157.46 dollars. 35 D) Check Register Check Description of NumberDate Transaction Payment 12/20 Paycheck 1752 12/22 Petcom 23.44 1753 12/22 Park & Shop208.17 1/02ATM 150.00 1/09Rebate The final balance of the checking account is 216.62 dollars. Deposit Balance 642.15 29.58 -73.50 568.65 545.21 337.04 187.04 216.62 220) A pet store is offering a sale of $10 off the retail price of any of its pet beds or pet carriers. 220) (i) Complete the table below to help find an expression that describes the sale price (in dollars) if the retail price is r dollars. Show the arithmetic to help you see a pattern. (ii) Evaluate the expression you found in part (i) for r = 94. What does your result mean in this situation? Retail and Sale Prices Retail Price (dollars) 75 85 95 105 r A) (i) Retail and Sale Prices Retail Price (dollars) 75 85 95 105 r Sale Price (dollars) Sale Price (dollars) 75 + (-10) 85 + (-20) 95 + (-30) 105 + (-40) r + (-50) (ii) 94 + (-50) = 44; This means that if the pet bed or pet carrier was originally retail priced at $94, it would be on sale for $44. B) (i) Retail and Sale Prices Retail Price (dollars) 75 85 95 105 r Sale Price (dollars) 75 + (-10) 85 + (-15) 95 + (-20) 105 + (-25) r + (-30) (ii) 94 + (-30) = 64; This means that if the pet bed or pet carrier was originally retail priced at $94, it would be on sale for $64. 36 C) (i) Retail and Sale Prices Retail Price (dollars) 75 85 95 105 r Sale Price (dollars) 75 + (-10) 85 + (-10) 95 + (-10) 105 + (-10) r + (-10) (ii) 94 + (-10) = 84; This means that if the pet bed or pet carrier was originally retail priced at $94, it would be on sale for $84. D) (i) Retail and Sale Prices Retail Price (dollars) 75 85 95 105 r Sale Price (dollars) 75 + 10 85 + 10 95 + 10 105 + 10 r + 10 (ii) 94 + 10 = 104; This means that if the pet bed or pet carrier was originally retail priced at $94, it would be now cost $104. 221) On part of a scenic tour of underground caves, Dave and Neil started at an elevation of -31 feet. 221) They then rose 21 feet. What was their elevation at this point? A) -10 ft B) -52 ft C) 52 ft D) 10 ft 222) Sean has $191 in his savings account. After he withdraws $82, what will his balance be? 222) A) -$109 B) $109 C) -$273 D) $273 223) Mr Lu Yi owed $97 on his bank credit card. He charged another item costing $12 . Find the amount 223) that Lu Yi owed the bank. A) $109 B) $83 C) $85 D) $112 224) At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -4°C. At 224) the end of the experiment, it had risen 26°C. What was the liquid's temperature at the end of the experiment? A) -30°C B) -22°C C) 22°C D) 30°C 225) The temperature at 5:00 was -4°C. Four hours later, it was -15°C. What was the change in 225) temperature? A) -19°C B) -11°C C) 19°C D) 11°C 226) A corporation's bank account has $8814 in it when the treasurer writes checks for $2093, $1469, and 226) $134. Then deposits of $4383 and $4448 are made. How much is in the account? Is it overdrawn? A) $13,949, no B) -$3679, yes C) $3679, no D) $14,083, no 37 Find the difference. 227) 8 - 6 A) -2 228) -4 - 8 A) -12 229) -7 - (-4) A) 3 230) 8 - (-3) A) -11 231) 15 - 15 A) -15 232) 0 - 1 A) 1 233) -6 - 6 A) -6 234) -16 - (-16) A) 1 235) 0 - (-8) A) 0 236) 15 - (-15) A) 30 237) -8 - 23 A) -31 238) -11 - (-25) A) 36 239) -40 - 130 A) -170 240) -50 - (- 150) A) -200 241) 952 - (-3402) A) -2450 242) 758 - 384 A) -374 B) 4 B)-4 B)-3 B) 5 B) 1 B)-1 B) 0 B) 16 B) 16 B) 15 B) 15 B) 14 B) -90 B) 200 B) 4354 B) -1142 C)2 C)4 C) -11 C) 11 C)0 C) -(-1) C) 12 C) -16 C)-8 C) -30 C) -15 C) -14 C) 170 C) -100 C) -4354 C) 374 D) 14 D) 12 D) 11 D) -5 D) 15 D) 0 D) -12 D)0 D)8 D)0 D) 31 D) -36 D) 90 D) 100 D) 2450 D) 274 227) 228) 229) 230) 231) 232) 233) 234) 235) 236) 237) 238) 239) 240) 241) 242) 38 243) - 371 - 545 A) 174 244) - 281 - (-649) A) -930 245) 119 - (-243) A) 362 246) -485 - 856 A) -271 247) -21.5 - (-2.8) A) 24.3 248) -13.4 - 19.6 A) -33 249) 21.7 - 28.8 A) -50.5 250) -43.93 - (-11.68 ) A) -32.25 251) (0.35) - (-0.12) A) -0.23 252) 0.14 - (-0.12) A) 0.02 B) -174 B) -368 B) -362 B) -371 B) -24.3 B) 6.2 B) -7.1 B) 55.61 B) 0.47 B) 0.0168 C) -74 C) -268 C) -124 C) 371 C) -18.7 C) -6.2 C) 7.1 C) 32.25 C) -0.13 C) 0.26 D) -916 D) 368 D) 124 D) -1341 D) 18.7 D) 33 D) 50.5 D) -55.61 D) -0.042 D) 0.36 243) 244) 245) 246) 247) 248) 249) 250) 251) 252) 253) 254) 11 253)- - 254) 4334 51 26 A) - 3121 B) - C) - D) - - 85 A) 17 B) 1 C) 1 D) 17 255) -- 255) 79 40 58 58 8 A) - B) C) - D) - 39 256) - 257) - 258) - 259) - 11 - 25 A) - 256) 264) - 265) - 23 39 - 14 59 3377 B) C) D) - 11 -- 257) 8 10 9191 A) - B) - C) D) - 41 -- 258) 5 10 1771 A) - B) - C) D) 36 - 259) 5 35 3 27 3 27 A) B) C) - D) - 15 260) -- 260) 9 12 1 4 19 19 A) B) - C) - D) 4 9 36 36 Use a calculator to compute. Round the result to two decimal places. 261) -148.99 - 34.42 A) -114.57 262) -120.54 - 30.75 A) 151.29 263) -11,263.77 - 99,739.051 A) -11,263.77 B) -183.41 B) -151.29 B) 88,475.28 B) 0.08 B) -0.14 C) 114.57 C) 89.79 C) -88,475.28 C) -0.83 C) -0.23 C) -9 D) 183.41 D) -89.79 D) -111,002.82 D) 0.00 D) -4.00 D) 5 261) 262) 263) 264) 265) 266) A) -0.35 71 90 -- 47 84 A) -1.35 Evaluate the expression for the given replacement values. 266) x + y, for x = -7 and y = -2 A) 9 B) -5 40 267) y + x, for x = -9 and y = 10 267) A) 268)x-y A) 269)x-y A) 270)x-y A) 271)x-y A) 272)x-y A) -19 forx= -22,y=5 27 forx=-19,y=-8 11 for x = 2, y = -20 -18 forx=-2,y=-22 -20 for x = 8, y = 15 7 Let x be a number. Translate the English phrase or sentence into a mathematical expression. 273) 94 less than a number A)x-94 274) -42 minus a number A)-42 ÷x 275) Subtract 60 from a number A) 60x B)94 ÷x B)-42-x B) 60 C)94-x C)x+42 C)60-x C)x-(-72) C)x-(-17) C) 10x C)-20+x C)42+x C)x-(-52) D)x+94 D)x-42 D)x-60 D) -72 D) -17 + x D) x - 10 D) x - (-20) D) 42 - x D) -52 ÷ x 276) Subtract -72 from a number. A) -72x B) 72 - x 277) The difference of a number and -17 A)-17x B)-17-x 278) Ten less than a number A) 10 - x B) x + 10 279) The number decreased by -20 A)-20÷x B)-20-x 280) 42 decreased by a number A) 42 ÷ x B) x - 42 281) -52 decreased by a number A)-52+x B)-52-x B)1 B) -27 B) 27 B) 22 B) 24 B)-7 C) 19 C) -17 C) -11 C) 18 C) 20 C) -23 D) -1 D) 17 D) -27 D) -22 D) -24 D) 23 268) 269) 270) 271) 272) 273) 274) 275) 276) 277) 278) 279) 280) 281) 41 282) A number decreased by eleven 282) A)x-11 B)x+11 C)11-x D) 11 x Solve the problem. 283) The temperature at 5:00 was -7°C. Four hours later, it was -9°C. What was the change in 283) temperature? A) -16°C B) -2°C C) 2°C D) 16°C 284) The temperature on a March morning is -6°F at 3a.m. If the temperature drops 5° by 4 a.m., rises 3° 284) by 5 a.m., and then drops 8° by 6a.m., find the temperature at 6 a.m. A) 16°F B) 22°F C) -22°F D) -16°F 285) At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -18°C. At 285) the end of the experiment, it had risen 37°C. What was the liquid's temperature at the end of the experiment? A) 19°C B) -19°C C) 55°C D) -55°C 286) Sean has $476 in his savings account. After he withdraws $87, what will his balance be? 286) A) -$563 B) $563 C) -$389 D) $389 287) Gina has $252 in her checking account. She writes a check for $45, makes a deposit for $97, and 287) then writes another check for $234. Find the amount left in her account. A) 70 dollars B) -124 dollars C) 124 dollars D) -70 dollars 288) The changes in retail sales (in billions of dollars) of hand-held computer games in Country X from 288) one year to the next are given in the following table. Changes in Retail Sales of Hand-Held Computer Years Games Changes in Retail Sales (billions of dollars) 0.0 -1.2 -0.4 0.0 1.2 2.0 1.3 (i) If there were $8.6 billion in sales in 1998, what were the sales during 2005? (ii) During which period(s) were the retail sales increasing? (iii) During which period(s) were the retail sales decreasing? A) (i) $11.5 billion; (ii) From 2002 to 2005; (iii) From 1999 to 2001 C) (i) $11.5 billion; (ii) From 2001 to 2005; (iii) From 1999 to 2002 B) (i) 23.3 billion; (ii) From 2002 to 2005; (iii) From 1999 to 2001 D) (i) 23.3 billion; (ii) From 2001 to 2005; (iii) From 1999 to 2002 42 289) Last year, enrollment at an art school was 19,838 students. 289) (i) Complete the table below to help find an expression that describes the current enrollment if the change in enrollment in the past year is c students. Show the arithmetic to help you see a pattern. (ii) Evaluate the expression you find in part (i) for c = -450. What does your result mean in this situation? Changes in Enrollments and Current Enrollments Change in Enrollment 90 135 270 c Current Enrollment A) (i) Changes in Enrollments and Current Enrollments Change in Enrollment 90 135 270 Current Enrollment 90 - 19,,,,,,838 c - 19,838 c (ii) -20,288; This means that the current enrollment is -20,288 due to a decrease in enrollment of 450 students in the past year. B) (i) Changes in Enrollments and Current Enrollments Change in Enrollment 90 135 270 Current Enrollment 90 + 19,838 135 + 19,838 270 + 19,838 405 + 19,838 405 + 19,838 675 + 19,838 810c + 19,838 c (ii) 384,338; This means that the current enrollment is 384,338 due to an increase in enrollment of 364,500 students in the past year. C) (i) Changes in Enrollments and Current Enrollments Change in Enrollment 90 135 270 Current Enrollment 90 + 19,838 135 + 19,838 270 + 19,838 405 + 19,838 405 + 19,838 675 + 19,838 c + 19,838 c (ii) 19,388; This means that the current enrollment is 19,388 due to a decrease in enrollment of 450 students in the past year. 43 D) (i) Changes in Enrollments and Current Enrollments 290) 4% A) 40.0 291) 27% A) 0.027 292) 20% A) 2 293) 20% A) 0.02 294) 68% A) 6.8 295) 5.5% A) 0.55 296) 75.7% A) 7.57 297) 0.6% A) 0.006 B) 0.04 B) 0.27 B) 0.09 B)2 B) 0.068 B) 55.0 B) 0.0757 B) 0.6 C)4 C) 2.7 C) 0.2 C) 20.0 C) 68.0 C) 0.055 C) 0.757 C) 0.06 C) 0.07% C) 0.075% C) 0.16% D) 0.4 D) 27.0 D) 0.02 D) 0.2 D) 0.68 D) 5.5 D) 75.7 D) 0.007 D) 700% D) 7.5% D) 0.016% 290) 291) 292) 293) 294) 295) 296) 297) 298) 299) 300) Change in Enrollment 90 135 270 Current Enrollment 19,838 - 90 19,,,,,,838 - c c (ii) 20,288; This means that the current enrollment is 20,288 due to an increase in enrollment of 450 students in the past year. Write the percentage as a decimal number. Write the decimal number as a percentage. 298) 0.7 A) 0.7% 299) 0.75 A) 750% 300) 0.016 A) 1.6% B) 70% B) 75% B) 16% 44 301) 0.392 A) 39.2% 302) 0.001 A) 0.1% Write the percent as a decimal. B) 392% B) 0.001% C) 0.0392% C) 1% D) 0.392% D) 0.01% D) 88.0 D) 150 cars D) 500 boxes D) $35 D) $5476 D) 102 students 301) 302) 303) 304) 305) 306) 307) 308) 309) 310) 311) 312) 313) 314) 315) 303) 88% of students at a small college lived at home while attending classes. A) 0.088 Solve the problem. 304) Find 5% of 300 cars. A) 15 cars 305) Find 10% of 500 boxes. A) 50 boxes 306) Find 5% of $700. A) $0.35 307) Find 21% of $115,000. A) $24,150 308) Find 30% of 340 students. A) 9 students 309) Find 9% of 1000 computers. A) 90 computers 310) Find 34% of 1227 oz. A) 41,718 oz 311) Find 90% of 343 km. A) 3087 km Find the product. B) 8.8 B) 0.15 cars B) 0.5 boxes B) $3.50 B) $242 B) 1133 students B) 9 computers B) 4171.8 oz B) 30,870 km B) -10 B) -18 B) -180 B) -22 C) 0.88 C) 1.5 cars C) 5 boxes C) $350 C) $2415 C) 238 students C) 9000 computers C) 417.18 oz C) 308.7 km C) 4 C) -36 C) -18 C) 11 D) 900 computers D) 41.72 oz D) 30.87 km D) -4 D) -8 D) -24 D) -11 312) -4(2) A) 313) 6(-3) A) 314) 6(-3) A) -8 18 -118 315) 0(-11) A) 0 45 316) -17(-17) A) 306 317) 4(3) A) 2 318) -1.9(-19) A) 20.9 319) 47(-94) A) 4428 320) -28(-655) A) -18,340 31 82 B) -306 B) 12 B) -20.9 B) -4408 B) 18,350 C) -289 C) 8 C) -17.1 C) 4518 C) -18,350 D) 289 D) 120 D) 36.1 D) -4418 D) 18,340 316) 317) 318) 319) 320) 321) 322) 323) 321) - 3223 A) B) - C) D) - 25 322)- - 323) Find the quotient. 325) -21 ÷ 7 A) -210 326) -72 ÷ (-8) A) 9 327) 80 ÷ (-10) A) -8 B)3 C)-3 D)- 1 3 325) 326) 327) 16 5 5 16 79 A)- 18 1 - 76 A)- 7 7 10 B)- C) D) 10 63 7777 16 16 63 3131 B) - C) D) 13 324)- - 324) 68 2113 A) - B) - C) D) 7 16 16 11 B)-720 C)19 D)-9 B)8 C)-800 D)- 1 8 46 -24 328) 6 328) 329) 330) 331) 332) 333) 334) 335) 336) 337) 338) 329) A) 4 -90 -10 A) 19 B) -240 B)-900 1 4 D)-9 330) 100 -10 A) -1000 331) -4 ÷ (-1) A) -4 332) -8÷8 A) -8 B) 1 333) -112÷8 A) -24 B) 14 334) 145 ÷ (-5) 1 A) - B) -39 29 335) -80 ÷ (-4) A) 1 B)10 20 336) -112 ÷ (28) A) -14 B) 4 337) 306 ÷ (-34) 338) D) - 1 A) - B) 9 9 -80 -8 A)-10 B)0 47 C) -4 C)9 D) - 1 B) 10 C)- D)-10 10 11 B) C) 4 D) - 44 C) 0 C) -14 C) 29 C)20 C) -4 C) -9 C) 1 10 D) -1 1 14 D) -29 D)-20 1 4 D) -19 D)10 D) - 888 ÷ (-12) A) -75 -17.1 ÷ (-3) A) 5.7 29.2 ÷ (-4) A) -3.47 -73.92 ÷ (-8.8) A) 8.4 9 ÷(-3) 24 339) 340) 341) 342) 343) 344) 345) 346) 347) 348) 62 A) - B) 75 B) 6.1 B) 6.1 B) 3.47 B) 0.84 C) -74 1 5.7 C) 7.3 C) 3.37 C) -0.84 D) 74 D) - 5.7 D) -7.3 D) -3.37 D) -8.4 339) 340) 341) 342) 343) 344) 345) 346) A) - -33.7 ÷ 10 A) - -6÷- A) - 8 15 ÷ 23 A) 1 57 349)- ÷ 349) 1 7.3 911 B) - 8 C) - D) 888 9 12 B) 2C) 3 D) 16 ÷- 347) 37 18 7 7 2 A) B) -C) D) - 7 18 2 7 5 10 -÷- 348) 73 50 14 3 21 A) B) -C) D) - 21 3 14 50 12 35 21 5 B) C) - D)- 35 12 5 21 48 C)- 11 B) -C)8D) 88 350) - A) ÷ - 350) 33 358) 359) 5 -3 -7 5 4 -16 357)7+ 4 9 -7 5 35 11 3773 B) - C) D) - 7337 351) -689.5÷(-35) 351) 352) 353) 354) 355) 356) 357) A) -197 352) -606.06 ÷ 33.3 A) -1.82 353) -231.6 ÷ 0 A) -231.6 B) -207 B) 1.82 B) 0 C) 20.7 C) -18.2 C) undefined D) 19.7 D) 18.2 1 231.6 Use a calculator to perform the indicated operation. Round the result to two decimal places. 354) 901.561 ÷ (-73.67) A) -0.08 Perform the indicated operation. B) 0.08 B) C) 12.24 D) -12.24 355) 356) 3+-1 -5 10 A) - 31 - 7 4 - C)- D)- 2 5 13 1 13 1 4 A) B) C)- D)- 16 4 16 A) 13 B) 1 C) 1 9 3 21 63 D) 13 - 358) 2444 A) - B) C) 7 35 7 1 -3 - 68 D) - 35 13 24 5 13 7 A) - B) C) D) - 12 24 24 49 D) - 359) 360) 1 + 3 360) -15 -25 361) 362) 363) 364) 365) 366) 367) 368) 361) - A) - Simplify. -70 -7 A) 84 -108 A) 54 -9 1 6 362) 363) 364) 365) 366) 367) 368) - - 9 - 12 12 7 7 B) C) - D) 8 14 14 8 A) B) C) - D) - 22 53 391 775 A) -9 -1 A) -45 72 A) 24 B) -540 B) -9 C) 6 C) - D) -6 -2 A) 12 -96 -8 B) -12 1 12 C)12 Use a calculator to perform the indicated operation. Round the result to two decimal places. -4.78 1 10 B) 4.78 B)-10 C) 0.21 C)-700 D) -0.21 D)10 9999 5995 B) - C) D) 8888 A)2 B)-12 50 C) - D) -22 D) 1 12 11 D) 99 -51 -54 369) A) Write the ratio as a fraction. 370) the ratio of 6 to 14 A) 3 B) 6 C) 3 14 7 7 3 369) 370) 3 3 17 B) - C) - D) 17 18 18 18 18 371) the ratio of 45 to 50 371) A) 9 B) 9 C) 10 D) 372) the ratio of 22 to 40 372) A) 2 B) 11 C) 11 D)2 40 20 40 Solve the problem. 373) A science experiment requires 330 milliliters of substance X and 11 milliliters of substance Y. Find 373) the unit ratio of substance X to substance Y. What does your result mean in this situation? A) B) C) D) 30 ; For every ml of substance Y used, 30 ml of substance X must be used. 1 1 ; For every ml of substance X used, 29.5 ml of substance Y must be used. 29.5 30.5 ; For every ml of substance Y used, 30.5 ml of substance X must be used. 1 1 ; For every ml of substance X used, 30 ml of substance Y must be used. 30 374) There were 902 billionaires in a certain country this year and 84 billionaires in this same country 374) two years ago. Find the unit ratio of the number of billionaires this year to the number from two years ago. What does your result mean in this situation? A) 0.1 ; The number of billionaires this year was 0.1 times greater than two years ago. 1 B) 10.7 ; The number of billionaires this year was 10.7 times greater than two years ago. 1 C) 11.4 ; The number of billionaires this year was 11.4 times greater than two years ago. 1 D) 10.3 ; The number of billionaires this year was 10.3 times greater than two years ago. 1 51 D)6 375) A person has credit card balances of -4990 dollars on a Store A account and -50 dollars on a Store B 375) account. Find the unit ratio of the Store A account to the Store B account. If the person wishes to pay off both accounts gradually in the same amount of time, describe how the unit ratio can help guide the person in making his next payment. A) 99.80 ; For each $1 he pays to his Store B account, he should pay $99.80 to his Store A account. 1 B) 92.80 ; For each $1 he pays to his Store B account, he should pay $92.80 to his Store A account. 1 C) 103.80 ; For each $1 he pays to his Store B account, he should pay $103.80 to his Store A 1 account. D) 99.85 ; For each $1 he pays to his Store B account, he should pay $99.85 to his Store A account. 1 376) The average number of viewers per day for TV Show A is 2.0 million viewers while the average 376) number of viewers per day for TV Show B is 23.0 million viewers. Find the unit ratio of the average number of viewers per day of TV Show B to the average number of viewers per day of TV Show A. What does your result mean in this situation? A) 11.6 ; For every viewer watching TV Show A, there are about 11.6 viewers watching TV Show 1 B. B) 23.5 ; For every viewer watching TV Show A, there are about 23.5 viewers watching TV Show 1 B. C) 11.5 ; For every viewer watching TV Show A, there are about 11.5 viewers watching TV Show 1 B. D) 2.25 ; For every viewer watching TV Show A, there are about 2.25 viewers watching TV Show 1 B. 377) The populations and land areas are shown in the table for various regions: 377) Populations and Land Areas Region Region K Region L Region M Region N Region O Land Area Population (square miles) 561,531 491,465 23,323,642 354,553 5,191,892 19,865 8,323,,511,869 63,983 (i) The unit ratio of population to land area is called the population density. Find the population density of each region listed in the table. (ii) Which region listed in the table has the greatest population density? (iii) Which region listed in the table has the least population density? 52 A) (i) Region K: 1 person ; Region L: 66 people ; Region M: 261 people ; square mile square mile square mile Region N: 879 people ; Region O: 258 people square mile square mile (ii) Region N has the greatest population density. (iii) Region K has the least population density. B) (i) Region K: 571 people ; Region L: 1645 people ; Region M: 261 people ; square mile square mile square mile Region N: 440 people ; Region O: 258 people square mile square mile (ii) Region L has the greatest population density. (iii) Region K has the least population density. C) (i) Region K: 2285 people ; Region L: 132 people ; Region M: 706 people ; square mile square mile square mile Region N: 879 people ; Region O: 516 people square mile square mile (ii) Region K has the greatest population density. (iii) Region L has the least population density. D) (i) Region K: 2 people ; Region L: 66 people ; Region M: 392 people ; square mile square mile square mile Region N: 879 people ; Region O: 2581 people square mile square mile (ii) Region O has the greatest population density. (iii) Region K has the least population density. 378) A person has a zero balance on a credit card. The person uses the credit card to buy 5 DVDs at a 378) cost of $14.99 per DVD. What is the new balance? A) 74.95 dollars Perform the indicated operations. 379) 25 + 7 - 4 A) 140 380) 9∙ 9-1 A) 82 381) 30 ∙ 8 ÷ 7 A) 45 382) -4 ∙ 6 + 19 A) -5 383) 240 ÷ 5 - 2 A) 80 384) 14+22∙ 27 A) 972 B) -14.99 dollars B) 28 B) 80 B) 1680 B) -100 B) 237 B) 335 C) -19.99 dollars C)8 C) 72 C) 34.29 C) -43 C) 233 C) 63 D) -74.95 dollars D) 58 D) 81 D) 233 D) 52 D) 46 D) 608 379) 380) 381) 382) 383) 384) 53 385) -13 + 60 ÷ (-6) A) 8 386) 1+1 10 + 10 A) 387) 2-8 8-2 A) -1 388) 6∙ 17+12∙ 19 A) 1470 389) 29 + 27 ∙ 20 - 5 A) 840 390) -2(5) - (-16) ∙ 3 A) -38 391) 16 + 4 ∙ 30 - (-10) A) 610 392) 3 + (-30)(-5) + (-10) A) 155 393) 100 - 25 ∙ 4 + 234 ÷ (-18) A) -17 394) 75 - 5 ∙ 15 + 360 ÷ 18 A) 25 395) 3(9) + 9 1 - 9(8) B) -8 B) 1 10 0 D) -23 D) 0 11 D) 385) 386) 387) 388) 389) 390) 391) 392) 393) 394) 395) 396) 397) 398) B) -6 B) 3306 B) 71 B) 16 B) 126 B) 28 B) 287 B) 1070 C) - C) 2166 C) 564 C) 38 C) 146 C) -165 C) -992 C) 20 ) 44 ÷ 4(7 - 3) A) 28 397) 240 ÷ (20 ÷ 4) A) 3 398) 6 ∙ 9 + 2(8 - 3) + 5 A) 72 B) 44 B) 12 B) 335 C) 3696 C) 235 C) 69 D) 13 D) 48 D) 74 54 C) 23 C) 2 44 D) 330 D) 1115 D) -58 D) 60 D) 143 D) -13 D) 1458 36 54 9 36 A) - B) - C) - D) 399) 400 ÷ 10 - (4 + 1) A) 35 400) 36 ÷ 6 ∙ (12 - 5) A) 67 401) -17 + (5 ∙ 2 + 20) ÷ 5 A) 7 402) 9 ∙ 10 - (10 - 7) ÷ 3 - (10 - 8) A) 19 403) 72 - 5 ∙ 5 A) 70 404) (8 + 3)2 A) 121 405) 43 + 34 A) 24 406) 32 - 55 A) -3117 407) 43 - (-9)2 A) -69 408) 43 - (-2)3 A) 18 409) (-2)4 - (-4)3 A) -80 410) 23 + 32 ∙ 30 - (-23) A) 90 411) 52 - 4(6) + 6 ÷ 3 A) 73 412) 4 + 112 - (-11) ∙ 7 A) 48 413)(14-12)2+ (2+3)2 A) 65 B) 80 B) 42 B) -11 B) 27 B) 24 B) 17 B) 145 B) -3116 B) 30 B) 72 B) -48 B) 79 B) 8 B) 202 B) 49 C) 37 C) 77 C)-3 C) 87 C) 20 C) 73 C) 76 C) -19 C) 145 C) 56 C) 80 C) 316 C) 363 C) 259 C) 17 D) 36 D) 102 D) 11 D) 71 D) 220 D) 67 D) 93 D) 3134 D) -17 D) 90 D) 48 D) 983 D)3 D) 798 D) 29 399) 400) 401) 402) 403) 404) 405) 406) 407) 408) 409) 410) 411) 412) 413) 55 414) 32 - 23 + 22 - 33 A) -22 415) 3 ∙ (2 + 3)2 - 2 ∙ (5 - 3)2 A) 209 416) 112 + 9 ∙ 6 - (9 + 6 ∙ 5) A) 100 417) 23 + 7 32 - 4 A) 9 418) 38∙ (18-15)-18 32 - 3 A) 19 419) (-42) ÷ (-3) ∙ A) - 7 420) 1 + 1 ∙ 1 589 A) 1 180 B) 14 B) 292 B) 136 B) 4 B) 32 B)7 B) 13 360 107 100 C) 22 C) 73 C) 741 C) 6 C) 20 C) -28 D) -14 D) 67 D) 196 D) 15 D) 16 1 7 D) 77 360 107 200 69 50 D) 71 105 414) 415) 416) 417) 418) 419) 420) 421) 422) 423) 911 421)- + ÷ C) C) 49 40 241 100 422) - + ÷ 50 4 5 143 100 A)- 331 B) D) D) - 1 2 25 10 5 81 147 69 A)- B) 50 50 C) 100 A) 71 B) 13 55 21 80 423) 6 ∙ 2 + 5 ∙ 2 5765 56 C) 71 D) - 424) 23 12 +÷-∙ 424) 425) 426) 427) 428) 429) 430) 431) 432) 433) 434) 435) 436) 34 35 A) - B) - C) - D) - ÷ -9∙ 333 425) 426)85-11∙4+112∙ - A) 34 17 C) - A) 1 B) B) -536 C) 289 D) - 7 D) -12 D) -1611.28 D) -3.99 D) 17.965 D) 15 D) -48 D) -36 D) -15 D) 124 D) 10 D) -75 71.42 - 21.84 A) 23.19 429) 16.9 ÷ 0.4(0.3) + (1.3)2 A) 14.365 B) -25.79 B) 15.865 Evaluate the expression for the given value or values. 430)6x+9 forx=5 A) 60 431) -3x2 for x = 4 A) -144 432) (-3x)2 for x = 2 A) 36 433)x2-16 forx=-1 A) -16 434)7x2+3x forx=4 A) 100 435)-2x2-4x+10 forx=-2 A) 6 436)-4x2+3x+1 forx=-4 A) 53 B) 21 B) 48 B) -12 B)-4 B) 68 B) 0 B) 77 1 16 Use a calculator to perform the indicated operation. 427) 13.26 + 57.9(28.1) - 3.46 ÷ 1.41 (round to two decimal places) A) 1160.84 B) 1997.14 428) (32.89)(-9.94) + 44.9 (round to two decimal places) C) 1637.80 C) -5.69 C) 12.765 C) 39 C) 144 C) 12 C) 15 C) 40 C) 22 C) -51 39 57 437) a+6 fora=8 a+9 437) 438) 439) 440) 441) 442) 443) 444) 445) 446) 447) 448) 449) 14 1 A) B) - 17 14 17 2 438) a + 2 for a = -4 C) C) - D) -2 2 11 -3a - 1 1 1 A) B) - 11 2 D) - 2 2 439) a2 for a = -8 1 - a2 A) - B) C) - D) )3x+2y forx=5,y=6 A) 27 441)8x-3y forx=6,y=2 A) 54 442) 9x forx=42,y=6 y A) 63 443) x+y forx=10,y=4 2 A) 9 444)x2-4y forx=8,y=2 A) 72 445)4x2+7y forx=6,y=5 A) 142 446)a4-(-b)4 fora=4,b=3 A) 337 B) 5 B) 46 B) 54 B) 7 B) 56 B) 179 B) 175 C) 17 C) 45 C) 324 C) 14 C) 24 C) 611 C) 320 C) 15 C) 1680 C) 588 D) 15 D) 42 D) 315 D) 12 D) 8 D) 860 D) 28 D) 19 D) 75 D) 12 447)x-y+z forx=24,y=7,z=2 A)33 B) 20 448)x-3yz forx=87,y=4,z=5 A) 375 B) 27 449)a∙b÷c fora=28,b=3,c=7 A)38 B) 77 58 450)a2-b∙c fora=7,b=2,c=3 A) 43 B) 75 451) a+b fora=6,b=10,c=3,d=9 c+d C) 141 D) 105 450) 451) 4281 A) B) C) - D) - 3333 452) a+b fora=103,b=7,c=3,d=4 452) c2 - d A) 55 B) 22 C) 33 D) 20 Let x be a number. Translate the English phrase or sentence into a mathematical expression. 453) -8 decreased by 7 times a number A) -8 - 7x B) -8x - 7 454) 7 less than -3 times a number A) -3x - 7 B) 7x - 3 455) 5 more than 8 times a number C) 7x - 8 C) -3 - 7x C) 13x C) 1. C) 9 C) -14 C) 10 C)-9 C) 12 C) 25 D) 7 - 8x D) 7 - 3x D) 5x + 8 D) 19 D) 1 D) 14 D) 26 D)6 D) -64 D) 10 453) 454) 455) 456) 457) 458) 459) 460) 461) 462) A) 8x + 5 Perform the exponentiation. 456) 19 A) 1 457) 91 A) 19 458) (-1)14 B) 8(5 + x) B)9 B) 1. B)1 B) 25 B)9 B) -12 B) -10 A) 459) 52 A) 460) (-3)2 A) 461) (-4)3 A) 462) -52 A) -1 11 -6 64 -25 59 463) 73 A) 21 464) 114 A) 4,194,304 465) (-4)4 A) 16 466) 85 A) 32,768 463) 464) 465) 466) 467) 468) 469) 470) 471) 472) 473) 467) 5 7 468) 1 6 2 C) 216 C) 44 C) -16 C) 262,144 C) 2. 1 12 36 D) D) D) D) D) D) 2187 14,641 -256 390,625 49 25 1 3 469) - 470) - 73 3 A)- 72 4 A)- 343 3 27 27 9 B) C) - D) B) 343 B) 1331 B) 256 B) 40 A) 25 497 2 A) 1 8 B) C) 1 B) 25 B) 343 C) - 343 D) 49 4 16 16 4 Find the square root. 471) 4 A) 16 C) 2 472) 81 A)10 B) 473) - 49 A) 7 C) -7 B ) 14 D) Not a real number 40 C)18 B) -24 D) Not a real number D) 9 60 474)- 36 A) 1 C) -6 475) -144 A) Not a real number C) 12 476) - -144 A) Not a real number C) 144 B) 6 D) Not a real number B) 144 D) 20,736 B) 20,736 D) 12 474) 475) 476) State whether the square root is rational or irrational. If the square root is rational, find the (exact) value. If the square root is irrational, estimate its value by rounding to the second decimal place. 477) 64 A) Rational; 8 478) 12 A) Rational; 6 479) 15 A) Rational; 8 480) 63 A) Rational; 10 Solve the problem. 481) In Country X, teacher pay in 1980 was $15.5 thousand thousand per year since then. (i) Complete the table below to help find an expression that stands for the teacher pay (in thousands of dollars) at t years since 1980. Show the arithmetic to help you see a pattern. (ii) Evaluate the expression that you found in part (i) for t = 31. What does your result mean in this situation? Numbers of Years and Teacher Pay 477) 478) 479) 480) B) Irrational; 8.06 B) Irrational; 3.46 B) Irrational; 3.87 B) Irrational; 7.94 and has increased by approximately $7 481) Years Since 1980 0 1 2 3 4 t Teacher Pay (thousands of dollars) 61 A) (i) Numbers of Years and Teacher Pay Years Since 1980 Teacher Pay (thousands of dollars) -7∙0+15.5 -7∙1+15.5 -7∙2+15.5 -7∙3+15.5 -7∙4+15.5 -7t + 15.5 (ii) -201.5; Teacher pay will be about -$201.5 thousand in 2011. B) (i) Numbers of Years and Teacher Pay 0 1 2 3 4 t Years Since 1980 0 1 2 3 4 t Teacher Pay (thousands of dollars) 7+0+15.5 7+1+15.5 7+2+15.5 7+3+15.5 7+4+15.5 7+t+15.5 (ii) 53.5; Teacher pay will be about $53.5 thousand in 2011. C) (i) Numbers of Years and Teacher Pay Years Since 1980 0 1 2 3 4 t Teacher Pay (thousands of dollars) 7-0+15.5 7-1+15.5 7-2+15.5 7-3+15.5 7-4+15.5 7-t+15.5 (ii) -8.5; Teacher pay will be about -$8.5 thousand in 2011. D) (i) Numbers of Years and Teacher Pay Years Since 1980 0 1 2 3 4 t Teacher Pay (thousands of dollars) 7∙ 0+15.5 7∙ 1+15.5 7∙ 2+15.5 7∙ 3+15.5 7∙ 4+15.5 7t+15.5 (ii) 232.5; Teacher pay will be about $232.5 thousand in 2011. 62 482) The population of City A was about 772 thousand in 1992 and has decreased by about 5 thousand 482) per year since then. (i) Complete the table below to help find an expression that stands for the population of City A (in thousands) at t years since 1992. Show the arithmetic to help you see a pattern. (ii) Evaluate the expression that you found in part (i) for t = 26. What does your result mean in this situation? Population of City A Years Since 1992 0 1 2 3 4 t A) (i) Population of City A Years Since 1992 0 1 2 3 4 t Population (thousands) Population (thousands) -5+0+772 -5+1+772 -5+2+772 -5+2+772 -5+2+772 -5+t+772 (ii) 793; The population of City A will be about 793 thousand in 2018. B) (i) Population of City A Years Since 1992 0 1 2 3 4 t Population (thousands) 5-0+772 5-1+772 5-2+772 5-2+772 5-2+772 5-t+772 (ii) 741; The population of City A will be about 741 thousand in 2018. C) (i) Population of City A Years Since 1992 0 1 2 3 4 t Population (thousands) 5∙0+772 5∙1+772 5∙2+772 5∙2+772 5∙2+772 5t+772 (ii) 902; The population of City A will be about 902 thousand in 2018. 63 D) (i) Population of City A Years Since 1992 0 1 2 3 4 t Population (thousands) -5∙0+772 -5∙1+772 -5∙2+772 -5∙2+772 -5∙2+772 -5t+772 (ii) 642; The population of City A will be about 642 thousand in 2018. 483) If a cube has sides of length s yards, then the volume of the cube is s3 cubic yards. Find the volume 483) of a cubic box with sides of length 13 yards. A) 2197 cubic yards B) 338 cubic yards C) 169 cubic yards D) 39 cubic yards 484) If the radius of a sphere is r feet, then the volume of the sphere is 43 πr3 cubic feet. Find the volume 484) of a sphere with radius of 6 feet. Round your answer to two decimal places. A) 91.67 cubic feet B) 904.78 cubic feet C) 452.39 cubic feet D) 2714.34 cubic feet 485) The normal gasoline mileage of a car is 40 mpg. On a smooth road, its mileage is 12% higher. What 485) is its mileage on a smooth road? Round your answer to the nearest tenth. A) 40 mpg B) 4.8 mpg C) 44.8 mpg D) 50 mpg 486) The regular price of a bathing suit is $40. The price is decreased 40% for a sale in July. What is the 486) sale price of the suit? A) $25.00 B) $16.00 C) $23.00 D) $24.00 487) A computer printer costs $570. The price is increased by 6 12 % for sales tax. What is the total price of 487) the printer with tax? A) $601.35 B) $940.50 C) $612.75 D) $607.05 488) Brand X copier has improved its copier so that it produces 15% more copies than its old model. If 488) the old model ran 664 copies per hour, how many copies would the new model run? Round your answer to the nearest whole number. A) 359 copies per hour C) 749 copies per hour Write the number in standard decimal form. B) 679 copies per hour D) 764 copies per hour C) 6,620,000 C) -545,000 489) 6.62 × 107 A) 662,000,000 490) 5.45 × 10-4 A) 0.0000545 B) 66,200,000 B) 0.00545 D) 463.4 D) 0.000545 489) 490) 64 491) 9.493 × 10-5 A) -949,300 492) 8 × 102 A) 800 B) 0. B) 0.08 C) 0. C) 0.008 C) 1.8008 × 10-4 C) 1.5× 10-7 C) 1.79 × 10-3 C) 1.2918 × 104 D) 0.0009493 D) 8000 D) 1.8008 × 105 D) 1.5× 108 D) 1.79 × 104 D) 1.2918 × 105 491) 492) 493) 494) 495) 496) Write the number in scientific notation. 493) 18,008 A) 1.8008 × 104 494) 15,000,000 A) 1.5× 10-8 495) 0.000179 A) 1.79 × 10-4 B) 1.8008 × 101 B) 1.5× 107 B) 1.79 × 10-5 496) 0. A) 1.2918 × 10-5 B) 1.2918 × 10-4 497) A computer compiles a program in 0. seconds. Write this number in scientific notation. 497) Solve the problem. A) 9.57 × 10-6 B) 9.57 × 10-8 C) 9.57 × 10-7 D) 9.57 × 105 498) The diameter of an atom is about 0.0000001 millimeters (Source: Powers of Ten, Philip and Phylis 498) Morrison). Write this number in scientific notation. A) 1 × 107 mm B) 1 × 10-7 mm C) 1 × 10-6 mm D) 1 × 106 mm 65 Answer Key Testname: UNTITLED1 1) B 2) A 3) D 4) D 5) B 6) w; 119, 202; 0, -40 (answers may vary) 7) s; 35, 52; -74, -14 (answers may vary) 8) a. The rectangles are not drawn to scale. Answers may vary. 8 feet b. W,L 4 feet 2 feet 18 feet 36 feet 9 feet c. A 9) a. The rectangles are not drawn to scale. Answers may vary. 8 yards 5 yards 3 yards 13 yards 15 yards 10 yards b. W,L c. P 10) a. The rectangles are not drawn to scale. Answers may vary. 5 feet 2 feet 10 feet b. W,L,P 7 feet 4 feet 14 feet c. None 11) a. The rectangles are not drawn to scale. Answers may vary. 4 inches 5 inches b. L,A c. W 12) A 13) C 14) B 15) D 16) D 17) B 18) D 19) C 20) D 21) C 22) D 4 inches 10 inches 4 inches 22 inches 66 Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify whether the variable is categorical or numerical. 1) the colors of automobiles on a used car lot 1) A) categorical B) numerical 2) the number of complaint letters received by the United States Postal Service in a given day 2) A) numerical 3) the number of seats in a movie theater A) numerical 4) the numbers on the shirts of a girl's soccer team A) numerical B) categorical B) categorical B) categorical 3) 4) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 5) Scott Tarnowski owns a pet grooming shop. His prices for grooming dogs are based on the 5) size of the dog. His records from last year are summarized below. Construct a relative frequency distribution. Class Large 345 yellow green green purple yellow green purple green purple blue yellow green green purple Frequency Medium 830 Small 645 6) The results of a survey about a recent judicial appointment are given in the table below. 6) Construct a relative frequency distribution. Response Strongly Favor 28 Favor 22 Neutral 16 Oppose 32 Strongly Oppose 102 7) The preschool children at Elmwood Elementary School were asked to name their favorite 7) color. The results are listed below. Construct a frequency distribution and a relative frequency distribution. Frequency blue blue blue blue green red 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 8) The data in the following table show the results of a survey of college students asking which 8) vacation destination they would choose given the eight choices shown. Determine the value that should be entered in