Free Printable Review #1 for Alg support final 2024

1.

Step 1 3(2x+4) = 9
Step 2 6x + 12 = 9
Step 3 6x +4 - 4 = 9 - 4
Step 4 6x = 5
Step 5 /6 /6
Step 6 x = 5/6
Which property justifies step 2?

a)

Associative property

b)

Distributive Property

c)

Inverse property of Addition

d)

Identity Property of Multiplication

2.

Step 1 3(2x+4) = 9
Step 2 6x + 4 = 9
Step 3 6x +4 - 4 = 9 - 4
Step 4 6x + 0 = 5
Step 5 6x = 5
Step 6 /6 /6
Step 7 x = 5/6
What property justifies step 5?

a)

Inverse property of addition

b)

Inverse property of multiplication

c)

Identity property of addition

d)

Identity property of mulitplication

3.

2(4x +8) + 3x = 12
Step 1 8x + 16 + 3x = 12
Step 2 8x + 3x + 16 = 12
Step 3 11x + 16 = 12
Step 4 -16 -16
Step 5 11x = -4
Step 6 /11 /11
Step 7 x = -4/11
Which property justifies step 1?

a)

Associative Property of Addition

b)

Identity Property

c)

Distributive Property

d)

Commutative Property of addition

4.

2(4x +8) + 3x = 12
Step 1 8x + 16 + 3x = 12
Step 2 8x + 3x + 16 = 12
Step 3 11x + 16 = 12
Step 4 -16 -16
Step 5 11x = -4
Step 6 /11 /11
Step 7 x = -4/11
Which property justifies step 2?

a)

Associative Property of Multiplication

b)

Associative Property of Addition

c)

Commutative Property of Addition

d)

Commutative Property of Multiplication

5.

4x + (2x + 1)= 18
Step 1 (4x + 2x) +1 =18
Which property justifies step 1

a)

Distributive Property

b)

Commutative Property

c)

Associative Property

d)

Inverse Property

6.

Identify the property shown.

a)

Commutative

b)

Associative

c)

Distributive

d)

None

7.

a)

A

b)

B

c)

C

d)

D

8.

Which of the following is
Identity Property of Multiplication?

a)

5 x 0 = 0

b)

8 x 3 = 3 x 8

c)

12 x 1 = 12

d)

8 + 0 = 8

9.

Which of the following is
Multiplicative of Zero?

a)

5 x 0 = 0

b)

8 + -8 = 0

c)

12 x 1 = 0

d)

8 + 0 = 8

10.

$-3x\ +2c\ =\ 3\ \ \ \ \ \ \ \ solve\ for\ x$

a)

$x=\frac{3-2c}{-3}$

b)

$x\ =\ 6+2c$

c)

$x\ =\ 6-2c$

d)

$x\ =\ \frac{3+2c}{3}$

11.

$\ u\ =\ bak\$ Solve for a

a)

$a=\frac{u}{bk}$

b)

$a\ =\ \frac{bk}{u}$

c)

$a\ =\ -\frac{bk}{u}$

d)

$a=-\frac{u}{bk}$

12.

Solve for a: $u\ =\ \frac{\left(ak\right)}{b}$

a)

a = ukb

b)

a = uk + b

c)

$a\ =\ \frac{\left(ub\right)}{k}$

d)

$a\ =\ \frac{k}{ub}$

13.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

14.

$Given\ xy\ +\ w\ =\ 9,\ solve\ for\ y.$

a)

$y=\frac{9+w}{x}$

b)

$y=\frac{9-x}{w}$

c)

$y=\frac{9-w}{x}$

d)

$y=\frac{9+x}{wy}$

15.

Solve and graph the inequality.

77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

16.

Solve and graph the inequality.
-4 > (^m/₃) - 7

a)

A

b)

B

c)

C

d)

D

17.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

18.

Solve the inequality and graph on a number line:

14 x - 3 ≤ -3 (The red arrows show the graphs.)

a)

A) x ≤ 0

b)

B) x ≤ 2

c)

x > 0

d)

x ≥ -2

19.

Solve the inequality and graph on a number line:

12 - 2x < 16 (The red arrows show the graphs.)

a)

D. x > 0

b)

A. x ≤ 0

c)

C. x > -2

d)

B. x ≤ 2

20.

Solve the inequality.

-3n + 8 < 26

a)

n < - 6

b)

n > - 6

c)

n ≤ -10

d)

n > - 8

21.

Solve and graph the inequality.

-31 ≤ 8m +9

a)

A

b)

B

c)

C

d)

D

22.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

23.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

24.

Solve the following then choose the matching graph.

n + 1 ≤ 7

a)

A

b)

B

c)

C

d)

D

25.

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?

a)

14h = 112

b)

14 / h = 112

c)

h + 14 = 112

d)

h - 14 = 112

26.

Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?

a)

29 - n = 41

b)

29 - n = 40

c)

29 + n = 41

d)

29 + n = 40

27.

How do you know when an equation has been solved and your work is done?

a)

When you get a whole number

b)

After you add or subtract

c)

When x is by itself on one side of the equal sign

d)

When there are no more variables

28.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

29.

If one roll of masking tape costs $1.15, how many rolls can Emma buy with $5.75?

a)

1.15(5.75) = x

b)

5.75x = 1.15

c)

1.15x = 5.75

d)

x = 1.15/ 5.75

30.

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

a)

f + 8 = 14

b)

f - 8 = 14

c)

f/8 = 14

d)

8f=14

31.

Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.

a)

d/4=$11.13

b)

4d=$11.13

c)

d/5=$11.13

d)

5d=$11.13

32.

Sally bought three candy bars for a total of $18.00. How much did each candy bar cost? Write an equation to solve this problem. Use c as your variable.

a)

18c=6

b)

c + 6= 18

c)

c +18 = 6

d)

3c=18

33.

Find the slope

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

34.

Find the slope

a)

-5/7

b)

7/5

c)

-7/5

d)

5/7

35.

What is the slope of the line?

a)

$\frac{3}{2}$

b)

$-\frac{3}{2}$

c)

$-\frac{2}{3}$

d)

$\frac{2}{3}$

36.

Find the slope of the line.

a)

2/7

b)

-2/7

c)

7/2

d)

-7/2

37.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

38.

What is the formula for finding slope?

a)

$y=mx+b$

b)

$Ax+By=C$

c)

$\frac{y_2-y_1}{x_2-x_1}$

39.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

40.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

41.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

42.

Find the slope from the given points:

(3,-1) (4,7)

(a)

43.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

44.

Determine the slope.

a)

m=1/7

b)

m=-1/7

c)

m=-7

d)

m=7

45.

Find the slope given the points (-2,-9) and (-1,-3).

a)

4

b)

-1/6

c)

-6

d)

6

46.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

47.

$y=\frac{5}{3}x-3$

a)

b)

c)

d)

48.

$y=2x-5$

a)

b)

c)

d)

49.

$y=-\frac{1}{2}x+5$

a)

b)

c)

d)

50.

$y=\frac{6}{5}x-1$

a)

b)

c)

d)

51.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

52.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

53.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

54.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

55.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

56.

What is the equation of a line when m = -7 and b = -8?

a)

y = -7x + 8

b)

y = -7x - 8

c)

y = 7x - 8

d)

y = 7x + 8

57.

Write the equation of the line that passes through the points (0, -5) and (4, 3)

a)

y=2x-5

b)

y=1/2x-5

c)

y=2x+5

d)

y=1/2x+5

58.

Find the slope intercept form given a line with a slope of 4 going through the point (3,8)

a)

y=-4x-4

b)

y=3x-8

c)

y=4x-4

d)

y=4x+20

59.

Write the slope intercept form of the equation through the given points: ( -1, - 3 ) and ( 1, - 5 )

a)

y = -4x + 6

b)

y = -2x + 8

c)

y = -1x - 4

d)

y = -1x - 6

60.

Write the equation in slope intercept form of a line that passes through the given pair of points: (0,-1) and (2,1)

a)

y =x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

61.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

62.

Given that the slope is 2/3 and the y intercept is -3 what is the equation of the line?

a)

y = 2/3x - 3

b)

y = 2/3x + 3

c)

y = -2/3x - 3

d)

y = -2/3x + 3

63.

Find the equation of the line in slope-intercept form.

a)

y = - 1/4x - 3

b)

y = 1/3x + 3

c)

y = - 1/4x + 2

d)

y = 1/3x -3

64.

Identify the slope and y intercept in the equation of the line: y = -1/3x + 1

a)

Slope: 1/3
y-intercept: 1

b)

Slope: 1/3
y-intercept: -1

c)

Slope: -1/3
y-intercept: 1

d)

Slope: -1/3
y-intercept: 0

65.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

66.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

a)

y=-3

b)

y=3x

c)

y=-3x

d)

x=-3

67.

Identify the slope and y-intercept for the line on your paper, and select the correct graph for the line.

$y=x+6$

a)

b)

c)

d)

68.

Identify the slope and y-intercept for the line on your paper, and select the correct graph for the line.

$y=-\frac{5}{3}x+1$

a)

b)

c)

d)

69.

Identify the slope and y-intercept for the line on your paper, and select the correct graph for the line.

$y=\frac{1}{2}x-5$

a)

b)

c)

d)

70.

Identify the slope and y-intercept for the line on your paper, and select the correct graph for the line.

$y=-2-4x$

a)

b)

c)

d)

71.

On your paper, rewrite the equation in slope-intercept form, then select the correct graph for the line.

$x-4y=-24$

a)

b)

c)

d)

72.

On your paper, rewrite the equation in slope-intercept form, then select the correct graph for the line.

$6x-2y=-14$

a)

b)

c)

d)

73.

Find the x- and y-intercepts of the line on your paper, and select the correct graph of the line.

$x-y=5$

a)

b)

c)

d)

74.

Find the slope of the line below using rise/run.

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

3

d)

$\frac{1}{3}$

75.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

76.

What is the formula for finding slope?

a)

$y=mx+b$

b)

$Ax+By=C$

c)

$\frac{y_2-y_1}{x_2-x_1}$

77.

What is the slope of a line between (-4,14) and (-16,8)?
Reminder!

Formula:

$m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}$

(a)

78.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

79.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

80.

What does 'b' represent in y=mx+b?

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

81.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

82.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

83.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

84.

Find the slope from the given points:

(3,-1), (4,7)

(a)

85.

Write the equation in slope intercept form of a line that passes through the given pair of points: (0,-1) and (2,1).

a)

y = x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

86.

Find the slope of the line through each pair of points.

a)

A

b)

B

c)

C

d)

D

87.

Find the slope of the line through each pair of points.

a)

A

b)

B

c)

C

d)

D

88.

Find the slope given these points: (-2,-3) & (2,3)

a)

3/2

b)

0

c)

undefined

d)

-3/2

89.

Find the slope given these points:

(-8,4) & (-5,1)

a)

-1

b)

1

c)

3/13

d)

5/13

90.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

91.

Find the slope of the line that passes through:
(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

1/2

92.

Rafael wants to find the slope of the line. Rafael's work is shown below.
$m=\ \frac{4-2}{100-50}=\frac{2}{50}=\frac{1}{25}$ .

What mistake did he make?

He used (a) instead of (b) .

Choose from the below words

$\frac{y_2\ -y_1}{x_2-x_1}$

$\frac{x_2-x_1}{y_2-y_1}$

93.

Which of the following correctly writes the slope formula for the points (2, 4) and (6, 12)? Select all that apply.

a)

$\frac{2-4}{6-12}$

b)

$\frac{12-4}{6-2}$

c)

$\frac{4-12}{6-2}$

d)

$\frac{4-12}{2-6}$

94.

What is the missing value for the slope formula using these points: (10, 1) and (5, 2)

$m=\frac{2-?}{5-10}$

(a)

95.

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

96.

Write the slope-intercept form of the equation with the given point and slope.
Through (2,5) and m= 1/2

a)

y=1/2x+4

b)

y=-1/2x-4

c)

y=4x-1/2

97.

Write the equation of the line with slope = 5 and that goes through the point (3, -5)

a)

y = 5x - 5

b)

y = 5x - 20

c)

y = 5x + 20

d)

y = 5x + 15

98.

Write an equation
m = 5/4 through (-4, -3)

a)

y = 5/4x +2

b)

y = -5/4x + 2

c)

y = 2x - 5/4

d)

y = 3/4x + 2

99.

Write the slope-intercept form of the equation with the given point and slope.

Through (-1, 4) and m = -3

a)

y = x - 3

b)

y = -3x + 1

c)

y = x + 2

d)

y = -3x + 4

100.

Which of the following is the equation of the line that has a slope of 3 and passes through the point (-1, 9)?

a)

y = -3x + 12

b)

y = 3x + 3

c)

y = 3x + 12

d)

y = 3x - 3

101.

Write an equation of a line in slope-intercept form that has a slope of 1/2 and goes through the point (-4, 8).

a)

y=1/2x+6

b)

y=1/2x+10

c)

y=1/2x

d)

y=1/2x+12

102.

Given the two points: (0, 6) and (6, 18), write the equation of the line.

a)

y = 2x + 6

b)

y = 1/2x + 6

c)

y = 1/3x + 6

d)

y = 3x + 6

103.

Find the equation of the line that passes through the points:
(-4, -2) and (-3, 5)

a)

y = 7x + 26

b)

y = -7x + 26

c)

y = -7x - 26

d)

y = ¹/₇ x + 26

104.

Find the equation of the line that passes through the points:

(2, 2) and (3, 4)

a)

y = 2x + 2

b)

y = -2x - 2

c)

y = -2x + 2

d)

y = 2x - 2

105.

How would you write the equation with a slope of 2/3 and a y-intercept of -3?

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

106.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

107.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

108.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

109.

How would you write the equation with a slope of 2/3 and a y-intercept of -3?

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

110.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

a)

y=-3

b)

y=3x

c)

y=-3x

d)

x=-3

111.

Write a linear equation in slope intercept form of a line with a slope of 12 and y-intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

112.

Write the equation in slope intercept form of a line that passes through the given pair of points: (-2, -3), (4, 3)

a)

y = x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

113.

Which of these represents the point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

114.

Write the equation of the line.
Slope = -4, passing through (-1, 5)

a)

y+5 = -4(x-1)

b)

y-5 = -4(x+1)

c)

y-5 = 4 (x-1)

d)

y = -4x - 9

115.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

116.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

117.

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

118.

Write the equation in point-slope form for the line that contains the points (-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

119.

Write the equation in slope-intercept form for the line that contains the points (3, -5) and (5, -1)

a)

y = 2x + 11

b)

y = 2x + 1

c)

y = 2x - 1

d)

y = 2x - 11

120.

$y+3=-4\left(x-9\right)$

If the slope is -4 for the following equation, what is the point?

a)

(-9, 3)

b)

(-9, -3)

c)

(9, 3)

d)

(9, -3)

121.

Julianna has 48 bags of treats. She is going to give 3 bags to her teacher. She will then give the rest out equally to her 5 friends. How many bags of treats will each friend receive?

a)

40 bags of treats

b)

9 bags of treats

c)

5 bags of treats

d)

50 bags of treats

122.

Marcus had a collection of Batman books. He had 12 books in his collection. He was given some more Batman books, which increased his collection 3 times. Sadly, Marcus lost 5 of the books on a trip. Which expression will help solve for how many books Marcus has left?

a)

(12 + 3) - 5

b)

(12 x 3) - 5

c)

(12 - 3) - 5

d)

(12 x 5) - 3

123.

Sierra had $34 in her bank account. She worked and put in another $54 in her account. She then purchased 8 scarves that all cost the same amount with her money. Which expression shows how much money each scarf cost?

a)

(34 + 54) - 8

b)

(34 + 54) + 8

c)

(34 + 54) ÷ 8

d)

(34 + 54) x 8

124.

Sheena baked 112 cookies. She kept 16 cookies at home for her family and shared the rest evenly with her 8 friends. How many cookies did each friend get?

a)

136

b)

12

c)

24

d)

68

125.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

126.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

127.

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.

a)

c/7 - 4 = 8

b)

c/4 + 7 = 8

c)

4/c - 7 = 8

d)

c/4 - 7 = 8

128.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

129.

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

a)

2.5 hours

b)

4.5 hours

c)

7.5 hours

d)

10.5 hours

130.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

.50x + 20 = 35

b)

.50x = 35

c)

.50 + 20x = 35

d)

.50x - 20 = 35

131.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

a)

11x + 6 = 39

b)

11x - 6 = 39

c)

11 + 6x = 39

d)

66x = 39

132.

Suppose your grades on three science exams are 82, 94 and 89. Which equation represents the score needed on the fourth exam if you want a 90% in the class?
*Hint: Average = sum of all numbers/number of numbers

a)

^{(82 + 94 + 89)}/₃ = x

b)

^{(82 + 94 + 89 + x)}/₄ = 90

c)

^{(82 + 94 + 89)}/₃ + x = 90

d)

4x + 82 + 89 + 94 = 90

133.

Suppose your grades on three science exams are 82, 94 and 89. What grade do you need on your next exam to have an average of 90?
*Hint: Average = sum of all numbers/number of numbers

a)

90

b)

95

c)

88

d)

98

134.

A rental company at Best Bargain Rental costs $150, plus $0.10 per mile. Which equation determines the number of miles (x) if the total cost was $360

a)

360 = (150)(0.10x)

b)

360 = 150 + 0.10x

c)

360 = 150 + ^x/_0.10

d)

360 = 150 -^x/_0.10

135.

A rental company at Best Bargain Rental costs $150, plus $0.10 per mile. How many miles have you traveled if the total cost was $360?

a)

51 miles

b)

210 miles

c)

5100 miles

d)

2100 miles

136.

2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?

a)

96h + 15 = 8

b)

^h/₉₆ = 8

c)

8h + 15 = 96

d)

^h/₈ = 96

137.

2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. If she made a total of $96 last week, how many hours did she work?

a)

10.125 hours

b)

13.875 hours

c)

12 hours

d)

768 hours

138.

Ali's cell phone plan is $55.00 per month plus 20 cents per megabyte over her data limit. If Ali's cell phone bill is $79.00, how many megabytes did she go over?
Which of the following represents the situation?

a)

55m = 79.00

b)

0.2m = 79.00

c)

0.2m + 55 = 79.00

d)

^0.2/_m - 55 = 79.00

139.

Ali's cell phone plan is $55.00 per month plus 20 cents per megabyte over her data limit. If Ali's cell phone bill is $79.00, how many megabytes did she go over?

a)

100 mb

b)

120 mb

c)

140 mb

d)

0 mb, she did no go over

140.

Tyrell has saved $62 to buy a new phone. How many more dollars must Tyrell save if the cost of the phone is $89? Let d be the number of dollars Tyrell must still save?

a)

62 + d = 89

b)

62d = 89

c)

d ÷ 89 = 62

d)

d - 62 = 89

141.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students (x) were in each bus?

a)

331 = 7x + 6

b)

331 = 13x

c)

331 = 6x + 7

d)

331 - 7 = 6x

142.

Solve for y:

5x + y = 16

a)

y = -5x + 16

b)

y = 5x + 16

c)

y = 5y - 16

d)

y = -5x - 16

143.

Solve m - n = 5 for m.

a)

m = n + 5

b)

m = n - 5

c)

m = 5n

d)

m = 5 - n

144.

Solve -2 = 4r + s for s.

a)

s = -4r + 2

b)

s = 4r - 2

c)

s = -4r - 2

d)

s = 4r + 2

145.

Solve IR = V for R.

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

146.

Solve:

y = mx + b , for b

a)

b = y - mx

b)

b = y + mx

c)

b = mx - y

d)

b = -y - mx

147.

Solve:

a - b + c = 9 , for a

a)

a = b - c + 9

b)

a = b + c - 9

c)

a = b + c + 9

d)

a = b - c - 9

148.

Solve for x.

z = xy

a)

x = ^z/_y

b)

x = ^y/_z

c)

x = yz

d)

x = z - y

149.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = ^a/_b

150.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

d)

x = vy + b

151.

Solve I = prt for r.

a)

r = ^I/_pt

b)

r = ^pt/_I

c)

r = I - pt

d)

r = pt - I

152.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

153.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

154.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

155.

a)

b = 3A - a - c

b)

b = -3A + a - c

c)

b = -3A - a - c

d)

b = 2A - c

156.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

157.

Solve:
y = mx + b , for b

a)

y - mx = b

b)

y + mx = b

c)

y/mx = b

d)

y + mx = -b

158.

Solve for H.

V = LWH

(in your answer: make sure there are no spaces & all letters are capital)

(a)

159.

Solve for y.

$2m+5x=6y$

(in your answer: make sure there are no spaces)

(a)

160.

Solve for y.

$p\left(t+4\right)=2y$

(in your answer: make sure there are no spaces)

(a)

161.

Solve for b.

$y=mx+b$

(in your answer: make sure there are no spaces)

(a)

162.

Which of the following does not show the Commutative Property ?

a)

x + y = y + x

b)

yx = xy

c)

6 + y = y + 6

d)

xy - 3 = xy

163.

Which of the following does not show the Commutative Property of Addition ?

a)

ab = ba

b)

4 + x = x + 4

c)

3x + 4y = 4y + 3x

d)

a + b = b + a

164.

Which equation shows the Commutative Property of Multiplication ?

a)

7 x 3 = 7 + 7 + 7

b)

8 x 1 = 8

c)

3x6 - 4x6 = (3-4)x6

d)

5 x 2 = 2 x 5

165.

Which property would you use to simplify the following expression ? 2(y + 4)

a)

Associative Property

b)

Commutative Property

c)

Multiplication Property of Zero

d)

Distributive Property

166.

Which property is used in the following expression ? 7(3 + 2) = 21 + 14

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Distributive Property

d)

Associative Property of Multiplication

167.

Which of the following is an example of Commutative Property of Addition ?

a)

4 + 2 = 7 + 4

b)

(9 + 8) + 5 = 9 + (8 + 5)

c)

3 + 9 = 9 + 3

d)

6 x 1 = 6

168.

Which is an example of Associative Property of Addition ?

a)

4 + 0 = 4

b)

6 + (-6) = 0

c)

(3 + 8) + 5 = 3 + (8 + 5)

d)

7 + 3 = 3 + 7

169.

Identify the property shown.

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Multiplication Property of 5

170.

Identify the property shown.

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Distributive Property

d)

Addition Property of 0

171.

Identify the property shown.

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Distributive Property

d)

Multiplication Property of 1

172.

Identify the property shown.

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Distributive Property

d)

Multiplication Property of 1

173.

Identify the property shown.

a)

Addition Property of 0

b)

Commutative Property of Addition

c)

Associative Property of Addition

d)

Distributive Property

174.

Identify the property shown.

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Distributive Property

d)

Addition Property of 0

175.

Identify the property shown.

a)

Distributive Property

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Subtraction Property of Grouping

176.

Identify the property shown.

a)

Distributive Property

b)

Commutative Property of Addition

c)

Associative Property of Addition

d)

Addition Property of 0

177.

Choose the property: 3 • (4 • 5) = (3 • 4) • 5

a)

Assosciative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

178.

Identify the property shown.

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Multiplication Property of 5

179.

Identify the property shown.

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Distributive Property

d)

Multiplication Property of 1

180.

Which property of real numbers justifies the work shown from Step 1 to Step 2?

a)

Distributive Property

b)

Commutative Property

c)

Identity Property

d)

Associative Property

181.

Which property of real numbers was used to get from Step 3 to Step 4?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Additive Inverse Property

d)

Substitution Property

182.

Which property justifies the work in solving this equation?

a)

Addition Property of Equality

b)

Additive Inverse Property

c)

Identity Property of Addition

d)

Subtraction Property of Equality

183.

Which property of real numbers justifies the work shown?

a)

Distributive Property

b)

Commutative Property

c)

Identity Property

d)

Associative Property

184.

2x + 1 = 6
When solving, first UNDO add/sub. What would the first step be in solving this equation?

a)

Divide by 2

b)

Subtract 1

c)

Subtract 6

d)

Times 2

185.

What is the first step to solve this equation:
-3x + 11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

186.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

Review #1 for Alg support final 2024

Total questions: 186

Worksheet time: 10hrs 6mins

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