Test Bank For College Algebra 7th Chapter 0 Chapter P Prerequisites Fundamental Concepts of Algebra Chapter 0 Chapter P Prerequisites Fundamental Concepts of Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the algebraic expression for the given value or values of the variable(s). 1) 4x + 8;
x = 4 1) _______ A) 24 B) 8 C) 32 D) 12 2) -4x - 6;
x = -3 2) _______ A) 18 B) -18 C) -6 D) 6 3) 6(x + 9) + 21; x = -19 3) _______ A) 39 B) 195 C) -39 D) -153 4) 3 + 7y;
x = 4 and y = 9 4) _______ A) 271 B) 111 C) 621 D) 207 5) (x + 3y)2;
x = 3 and y = 2 5) _______ A) 9 B) 18 C) 36 D) 81 6) 5 + 6
;
x = 9 6) _______ A) 88 B) -43 C) 53 D) 17 7) - 5(x - y);
x = 8 and y = 2 7) _______ A) -94 B) 26 C) 34 D) 22 8) ;
x = 7 8) _______ A) 3 B) 6 C) D) 4 9) ;
x = -4 and y = 5 9) _______ A) - B) - C) - D) Solve. 10) The formula C = (F - 32) expresses the relationship between Fahrenheit temperature, F, and Celsius temperature, C. Use the formula to convert 41°F to its equivalent temperature on the Celsius scale. 10) ______ A) 16°C B) 1°C C) 5°C D) 41°C 11) A stone is dropped from a tower that is 740 feet high. The formula describes the stone's height above the ground, h, in feet, t seconds after it was dropped. What is the stone's height 1 seconds after it is released? 11) ______ 1 Test Bank For College Algebra 7th Chapter 0 Chapter P Prerequisites Fundamental Concepts of Algebra A) 749 ft B) 699 ft C) 734 ft D) 724 ft 12) If a rock falls from a height of 90 meters above the ground, the height H (in meters) after x seconds can be approximated using the formula . What is the height of the rock after 4 seconds? 12) ______ A) -294.16 m B) 1361.6 m C) 70.4 m D) 11.6 m 13) As the relative humidity increases, the temperature seems higher than it is. The formula T = 0.101x + 55.05 approximates the apparent temperature for an actual temperature of where x is the relative humidity. What is the apparent temperature (to the nearest degree) for a relative humidity of 70%? 13) ______ A) 125°F B) 62°F C) 389°F D) 55°F 14) The winning times (in seconds) in a speed -skating event for men can be represent ed by the formula where x represents the year, with x = 0 corresponding to 1920. (For example in 1992, x would be According to the formula, what was the winning time in 1964? Round to the nearest hundredth. 14) ______ A) 43.65 sec B) 42.71 sec C) 2057.26 sec D) 44.59 sec 15) It is estimated that y, the number of items of a particular commodity (in millions) sold in the United States in year x, where x represents the number of years since 1990, is given by the formula That is, represents 1990, represents 1991, and so on. According to the formula, how many items sold in 2000? 15) ______ A) 19.16 millions B) 3.56 millions C) 20.72 millions D) 51.20 millions Find the intersection of the two sets. 16) { 1, 10, 5, 8} ∩ { 5, 11, 1} 16) ______ A) { 1} B) { 1, 5} C) { 1, 5, 8, 10, 11} D) ∅ 17) { 1, 10, 8} ∩ { 5, 11} 17) ______ A) { 10, 8} B) { 1, 8} C) ∅ D) { 1, 5, 8, 10, 11} 18) { 7, 9, 10, 12} ∩ ∅ 18) ______ A) { 10, 12} B) ∅ C) { 7, 9} D) { 7, 9, 10, 12} Find the union of the two sets. 19) { 2, 5, 8, 11} ∪ { 2, 5, 13} 19) ______ A) {8, 11, 13} B) { 2, 5} C) ∅ D) { 2, 5, 8, 11, 13} 20) { 1, 11} ∪ { 1, 4, 9} 20) ______ A) { 1, 4, 9, 11} B) ∅ C) { 4, 9, 11} D) { 1} 21) { 3, 5, 6, 8} ∪ ∅ 21) ______ A) { 6, 8} B) ∅ C) { 3, 5, 6, 8} D) { 3, 5} List all numbers from the given set B that are members of the given Real Number subset. 22) B = { 18, , -15, 0, 0.
, } Integers 22) ______ A) 18, -15, 0 B) 18, 0 C) 18, -15, 0, D) 18, 0, 2 Test Bank For College Algebra 7th Chapter 0 Chapter P Prerequisites Fundamental Concepts of Algebra 23) B = { 4, , -21, 0, 0.
, } Whole numbers 23) ______ A) 4, 0 B) 4, -21, 0 C) 4, -21, 0, D) 4, 0, 24) B = { 6, , -22, 0, 0.
, } Natural numbers 24) ______ A) 6 B) 6, 0, C) 6, D) 6, 0 25) B = { 11, , -18, 0, , , 0.
, 0.61} Rational numbers 25) ______ A) , , 0.61 B) 11, -18, 0, , , 0.61, 0. C) 11, 0, D) , 26) B = { 9, , -5, 0, , , 0.
, 0.35} Irrational numbers 26) ______ A) , 0. B) , , 0. C) , , 0.35 D) 27) B = { 17, , 0, , , -0.
, 0.95, -7} Real numbers 27) ______ A) 17, , , , -0.
, 0.95, -7 B) 17, , 0, , , -0.
, 0.95, -7 C) 17, , 0, , , 0.95 D) 17, 0, , -0.
, 0.95, -7 Determine whether the statement is true or false. 28) 6 > 9 28) ______ A) False B) True 29) 18 ≥ 4 29) ______ A) False B) True 30) -67 < 0 30) ______ A) True B) False 31) 9 < -7 31) ______ A) True B) False 32) 18 ≤ 12 32) ______ A) True B) False 33) -13 ≤ 22 33) ______ A) False B) True 3
x = 4 1) _______ A) 24 B) 8 C) 32 D) 12 2) -4x - 6;
x = -3 2) _______ A) 18 B) -18 C) -6 D) 6 3) 6(x + 9) + 21; x = -19 3) _______ A) 39 B) 195 C) -39 D) -153 4) 3 + 7y;
x = 4 and y = 9 4) _______ A) 271 B) 111 C) 621 D) 207 5) (x + 3y)2;
x = 3 and y = 2 5) _______ A) 9 B) 18 C) 36 D) 81 6) 5 + 6
;
x = 9 6) _______ A) 88 B) -43 C) 53 D) 17 7) - 5(x - y);
x = 8 and y = 2 7) _______ A) -94 B) 26 C) 34 D) 22 8) ;
x = 7 8) _______ A) 3 B) 6 C) D) 4 9) ;
x = -4 and y = 5 9) _______ A) - B) - C) - D) Solve. 10) The formula C = (F - 32) expresses the relationship between Fahrenheit temperature, F, and Celsius temperature, C. Use the formula to convert 41°F to its equivalent temperature on the Celsius scale. 10) ______ A) 16°C B) 1°C C) 5°C D) 41°C 11) A stone is dropped from a tower that is 740 feet high. The formula describes the stone's height above the ground, h, in feet, t seconds after it was dropped. What is the stone's height 1 seconds after it is released? 11) ______ 1 Test Bank For College Algebra 7th Chapter 0 Chapter P Prerequisites Fundamental Concepts of Algebra A) 749 ft B) 699 ft C) 734 ft D) 724 ft 12) If a rock falls from a height of 90 meters above the ground, the height H (in meters) after x seconds can be approximated using the formula . What is the height of the rock after 4 seconds? 12) ______ A) -294.16 m B) 1361.6 m C) 70.4 m D) 11.6 m 13) As the relative humidity increases, the temperature seems higher than it is. The formula T = 0.101x + 55.05 approximates the apparent temperature for an actual temperature of where x is the relative humidity. What is the apparent temperature (to the nearest degree) for a relative humidity of 70%? 13) ______ A) 125°F B) 62°F C) 389°F D) 55°F 14) The winning times (in seconds) in a speed -skating event for men can be represent ed by the formula where x represents the year, with x = 0 corresponding to 1920. (For example in 1992, x would be According to the formula, what was the winning time in 1964? Round to the nearest hundredth. 14) ______ A) 43.65 sec B) 42.71 sec C) 2057.26 sec D) 44.59 sec 15) It is estimated that y, the number of items of a particular commodity (in millions) sold in the United States in year x, where x represents the number of years since 1990, is given by the formula That is, represents 1990, represents 1991, and so on. According to the formula, how many items sold in 2000? 15) ______ A) 19.16 millions B) 3.56 millions C) 20.72 millions D) 51.20 millions Find the intersection of the two sets. 16) { 1, 10, 5, 8} ∩ { 5, 11, 1} 16) ______ A) { 1} B) { 1, 5} C) { 1, 5, 8, 10, 11} D) ∅ 17) { 1, 10, 8} ∩ { 5, 11} 17) ______ A) { 10, 8} B) { 1, 8} C) ∅ D) { 1, 5, 8, 10, 11} 18) { 7, 9, 10, 12} ∩ ∅ 18) ______ A) { 10, 12} B) ∅ C) { 7, 9} D) { 7, 9, 10, 12} Find the union of the two sets. 19) { 2, 5, 8, 11} ∪ { 2, 5, 13} 19) ______ A) {8, 11, 13} B) { 2, 5} C) ∅ D) { 2, 5, 8, 11, 13} 20) { 1, 11} ∪ { 1, 4, 9} 20) ______ A) { 1, 4, 9, 11} B) ∅ C) { 4, 9, 11} D) { 1} 21) { 3, 5, 6, 8} ∪ ∅ 21) ______ A) { 6, 8} B) ∅ C) { 3, 5, 6, 8} D) { 3, 5} List all numbers from the given set B that are members of the given Real Number subset. 22) B = { 18, , -15, 0, 0.
, } Integers 22) ______ A) 18, -15, 0 B) 18, 0 C) 18, -15, 0, D) 18, 0, 2 Test Bank For College Algebra 7th Chapter 0 Chapter P Prerequisites Fundamental Concepts of Algebra 23) B = { 4, , -21, 0, 0.
, } Whole numbers 23) ______ A) 4, 0 B) 4, -21, 0 C) 4, -21, 0, D) 4, 0, 24) B = { 6, , -22, 0, 0.
, } Natural numbers 24) ______ A) 6 B) 6, 0, C) 6, D) 6, 0 25) B = { 11, , -18, 0, , , 0.
, 0.61} Rational numbers 25) ______ A) , , 0.61 B) 11, -18, 0, , , 0.61, 0. C) 11, 0, D) , 26) B = { 9, , -5, 0, , , 0.
, 0.35} Irrational numbers 26) ______ A) , 0. B) , , 0. C) , , 0.35 D) 27) B = { 17, , 0, , , -0.
, 0.95, -7} Real numbers 27) ______ A) 17, , , , -0.
, 0.95, -7 B) 17, , 0, , , -0.
, 0.95, -7 C) 17, , 0, , , 0.95 D) 17, 0, , -0.
, 0.95, -7 Determine whether the statement is true or false. 28) 6 > 9 28) ______ A) False B) True 29) 18 ≥ 4 29) ______ A) False B) True 30) -67 < 0 30) ______ A) True B) False 31) 9 < -7 31) ______ A) True B) False 32) 18 ≤ 12 32) ______ A) True B) False 33) -13 ≤ 22 33) ______ A) False B) True 3