WGU C955 - Module 3: Basic Algebra Questions and Answers Graded 100%

WGU C955 - Module 3: Basic Algebra Questions and Answers Graded 100% Identify the number of terms and the coefficient for the x term in the expression: 4x−3y+7 a Terms: 2 ; Coefficient: −3 b Terms: 2 ; Coefficient: 4 c Terms: 3 ; Coefficient: −3 d Terms: 3 ; Coefficient: 4 ANS** Terms: 3 ; Coefficient: 4 What is the equation of the graph in slope-intercept form? {{ A graph of a line moving up and to the right that passes through (0,-1) and (1,2). }} a y=−3x−1 b y=3x−1 c y=3x+1 d y=−3x+1 ANS** y=3x-1 Solve for x in the following equation: 10+2x = 6−2x a −4 b −1 c 1 d 4 ANS** -1 Solve for x in the following inequality: x < -4 a x>−4 b x<−4 c x>−1 d x<−1 ANS** x<-4 Please simplify the expression with a fraction: 1/3(9x−3) a 3x−1 b 3x−3 c 9x−1 d 9x−3 ANS** 3x-1 Simplify the expression: 3x(2x+3y−4) a 6x^2+3y−12x b 6x^2+3y−4 c 6x^2+9xy−4 d 6x^2+9xy−12x ANS** 6x^2+9xy−12x The equation for the revenue of a business is Net Income = Revenue − (Cost of Goods + Wages + Equipment). Find the amount of the Revenue if the Equipment is $7.50 , Wages are $10.00 , Cost of Goods is $12 , and Net Income is $40 . a $10.50 b $29.50 c $50.50 d $69.50 ANS** $69.50 Please evaluate the following exponential expression: 4^3 is equal to a 3*3*3 b 3*3*3*3 c 4*4*4 d 4*4*4*4 ANS** 4*4*4 Evaluate the expression: 4−3x−8 when x=−2 a 10 b −2 c 2 d −10 ANS** 2 Graph the inequality y>−x+3 . a There's a dotted line passing through the points (0,3) and (1,4) with the area above and to the left of the line shaded b There's a dotted line passing through the points (3,0) and (4,1) with the area above and to the left of the line shaded. c There's a dotted line passing through the points (0,1) and (1,0) with the area above and to the right of the line shaded. d There's a dotted line passing through the points (0,3) and (1,2) with the area above and to the right of the line shaded. ANS** There's a dotted line passing through the points (0,3) and (1,2) with the area above and to the right of the line shaded. What are the coordinates of point A ? {{ Graph with A to the left of Y-0 and above X-0, B to the left of Y-0 and below X-0, C to the right of Y-0 and below X-0 and D to the right of Y-0 and above X-0 }} a (−3,−2) b (−3,2) c (3,−2) d (3,2) ANS** (-3,2) Solve for x in the following equation: 18=6−2(x+6) a −12 b −6 c −3 d 0 ANS** -12 Solve for x in the following equation: 4x+12=4 a −4 b −2 c 2 d 4 ANS** -2 Evaluate the expression: ab+ac+4 when a=2 , b=−1 , c=−3 a −8 b −4 c 4 d 8 ANS** -4 What is the slope of the linear equation below: −3x+2y−4=0 a −3/2 b −2/3 c 2/3 d 3/2 ANS** 3/2 Solve for a in the following equation: −28=a−11 a −39 b −17 c 17 d 39 ANS** -17 Simplify the expression: 8y^2+12y−6y^2+4y+7−8 a −2y^2+16y−1 b −2y^2+16y+1 c 2y^2+16y−1 d 2y^2+16y+1 ANS** 2y^2+16y-1 Please evaluate the following: Solve for j : 3/4j=5/9 a 5/12 b 4/9 c 20/27 d 27/20 ANS** 20/27 If 2y+4=−4y−2 , then a y=−3 b y=−1 c y=13 d y=3 ANS** y=−1 Simplify the expression: 7a−8a+10a a −5a b 9a c 11a d 25a ANS** 9a Simplify the expression: −4x(2x−5y−1) a −8x^2−5y−1 b −8x^2+5y+1 c −8x^2+20xy−4x d −8x^2+20xy+4x ANS** −8x^2+20xy+4x Solve for x in the following equation: 6−7x=−6x+7 a −13 b −1 c 1 d 13 ANS** -1 Simplify the expression with a fraction: 1/5(15x−10) a 15x−10 b 3x−10 c 15x−2 d 3x−2 ANS** 3x−2 Solve for x in the following equation: 12=4+4(x−4) a 0 b 3 c 6 d 8 ANS** 6 Please evaluate the following expression: 16 is equal to? a 1*1*1*1*1*1 b 1*6 c 6*6*6*6*6*6 d 6*6 ANS** 1*1*1*1*1*1 What is the slope of the linear equation: a −5/3 b −3/5 c 3/5 d 5/3 ANS** −5/3 Solve for x in the following equation: 3x+4=−2x−7 a −11 b −2 1/5 c −2 d −3/5 ANS** −2 1/5 Please evaluate the following expression: a^2/b−ac−3b , when a=3 , b=−1 , c=−3 a 3 b 6 c 18 d 21 ANS** 3 Solve for x in the following equation: 12−x=10 a −4 b −2 c 2 d 4 ANS** 2 Please evaluate the following: Solve for i . 8/3i=10/13 a 15/52 b 39/80 c 80/39 d 52/15 ANS** 15/52 Solve for c in the following equation: 49=−18+c a −67 b −31 c 31 d 67 ANS** 67 Solve for x in the following inequality: 2x−6<3x+5 a x>−11 b x<−11 c x>11 d x<11 ANS** x>-11 Simplify the expression: −9c+4c+12c a 7c b 15c c 17c d 25c ANS** 7c Simplify the inequality: 7<−4x+3<27 a 1<=x<=6 b −6<x<−1 c 2 1/2<=x<=7 1/2 d −2 1/2>=x>=−7 1/2 ANS** -6 < x < -1 The equation for the revenue of a business is Net Income = Revenue − (Cost of Goods + Wages + Equipment). Find the amount of the Wages if the Equipment is $7.50 , Cost of Goods is $5.00 , Revenue is $105 , and Net Income is $81.00 . a $11.50 b $12.50 c $13.50 d $14.50 ANS** $11.50 Please simplify the following expression: 6y^2+5y−2y^2−7y+5−8 a 4y^2+2y+3 b 4y^2−2y+3 c 4y^2+2y−3 d 4y^2−2y−3 ANS** 4y^2-2y-3 Evaluate the expression: 3x−8+x , when x=−1 a −12 b −11 c −6 d −4 ANS** -12 Identify the number of terms and the coefficient for the x term in the expression: 5w+6x+7y+8z a Terms: 6 ; Coefficient: 6 b Terms: 4 ; Coefficient: 6 c Terms: 3 ; Coefficient: 7 d Terms: 4 ; Coefficient: 8 ANS** Terms: 4 ; Coefficient: 6 What is the equation of the graph in slope-intercept form? {{ A graph that goes through the origin and through the point (4,3) }} a y=−4/3x b y=−3/4x c y=3/4x d y=4/3x ANS** y=3/4x What are the coordinates of point C? {{ A point labeled C is three units right and one unit down from the origin. }} a (−3,−1) b (−1,3) c (3,−1) d (−1,3) ANS** (3,−1) Please evaluate the following: If d=5, then (d+7)(d-3)= a) 6 b) 24 c) 14 d) 36 ANS** 24 Which of the following is also equal to x3? a) 1+x+x+x b) 3x c) x*x*x d) x+x+x ANS** x*x*x Please evaluate the following: If x=44 and y=4, then 12+x/y= ? a) 12 b) 60 c) 22 d) 23 ANS** 23 Evaluate the following: If x=3, then (27/x)+(1*x)= a) 51 b) 17 c) 12 d) 33 ANS** 12 Simplify the following expression: 4a+8a-2b+10= ? a) 4a-2b+10 b) 12a+12b c) 12a-2b+10 d) 14ab+10 ANS** 12a-2b+10 Simplify the following expression: -3x+5x-11-4=? a) 2x-15 b) 9x c) 2x-11 d) 5x-11 ANS** 2x-15 Solve for x: x-13=21 a) 8 b) -34 c) 10 d) 34 ANS** 34 Solve for y: y+(5*5)=17 a) -8 b) 7 c) 42 d) 8 ANS** -8 If 6+b−2=18 What does b equal? a) b=12 b) b=14 c) b=26 d) b=10 ANS** 14 Solve for x : 4x+12=52 a) x=16 b) x=−10 c) x=10 d) x=20 ANS** x=10 Solve for d : d/2=−14 a) d=−7 b) d=−28 c) d=−12 d) d=7 ANS** d=−28 Solve for a : 3a+2a−4=41 a) a=7.4 b) a=45 c) a=−9 d) a=9 ANS** a=9 Four times the monthly cost of a cell phone bill and a one-time $30 set-up charge for internet is $220 . Write an equation to solve for the cost of the monthly cell phone bill ( x ). a) 4x+220=30 b) 4x+30=220 c) 30x=220 d) 4x=220 ANS** 4x+30=220 The equation for the revenue of a business is Net Income = Revenue - (Cost of Goods + Wages + Equipment) . Find the amount of the Wages if the Equipment is $7.50 , Cost of Goods is $15.00 , Revenue is $120 , and Net Income is $71 . a) $26 b) $26.50 c) $27 d) $27.50 ANS** $26.50 Solve the equation for a . 10/(17a)=9/13 a) 90/221 b) 130/133 c) 130/153 d) 221/90 ANS** 130/153 What are the coordinates of point on the graph? {{ Graph with a coordinates labeled A four units to the left of the origin on the x-axis and five units below the origin on the y-axis. }} a) (4,−5) b) (5,−4) c) (−4,−5) d) (−5,−4) ANS** (−4,−5) What is the slope of the following linear equation: 2x−6y+4=0? a) −3 b) −1/3 c) 1/3 d) 3 ANS** 1/3 What is the equation of the graph in slope-intercept form? {{ Graph with with line intersecting the origin with a rise of one and run of four. }} a) y=1/4x b) y=−1/4x c) y=4x d) y=−4x ANS** y=1/4x Solve the inequality: 3+2x<3(x−1) a) x<0 b) x>0 c) x<6 d) x>6 ANS** x>6 Choose the graph that represents the following inequality: 2<x<6 a)Inequality graph with a closed circle on 2 with arrow pointing to the left, and a closed circle on 6 with an arrow pointing to the right. b)Inequality graph with an open circle on 2 with arrow pointing to the left, and an open circle on 6 with an arrow pointing to the right. c)Inequality graph with a closed circle on 2 and a closed circle on 6 with a line connecting the 2 circles. d)Inequality graph with an open circle on 2 and an open circle on 6 with a line connecting the 2 circles. ANS** Inequality graph with an open circle on 2 and an open circle on 6 with a line connecting the 2 circles.