Free Printable PreAlg Ch 8 Review

1.

2x - 5x =

a)

-3x

b)

3x

c)

-3

d)

3

2.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

3.

Simplify:
-8x + 4x

a)

-12x

b)

-4x

c)

4x

d)

12x

4.

Simplify:
2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

5.

3x - 5x

a)

2x

b)

8x

c)

-2x

d)

15x²

6.

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

7.

Distribute
5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

8.

Distribute
(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

9.

Distribute
-(2x - 7)

a)

-2x + 7

b)

2x

c)

2x - 7

d)

9x

10.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

11.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

12.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

13.

Simplify the following expression:
-8x + 4x

a)

-12x

b)

-4x

c)

4x

d)

12x

14.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

15.

Simplify
6(x + -2)

a)

6x + -2

b)

6x + -12

c)

4x

d)

6x - 2

16.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

17.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

18.

(b + 8)5

a)

b + 40

b)

5b - 40

c)

5b + 40

d)

5b + 8

19.

(x - 6)4

a)

24 - 4x

b)

4x - 6

c)

x - 24

d)

4x - 24

20.

-(8 - m)

a)

m - 8

b)

-8 - m

c)

8 - m

d)

m + 8

21.

-9(2g - 3)

a)

18g + 27

b)

-18g + 27

c)

-18g - 27

d)

18g - 27

22.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

23.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p - 24

24.

-2(x + 5)

a)

-2x + 10

b)

-2x - 10

c)

-2x + 5

d)

-2x - 5

25.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

26.

Find the unit rate: $220 for 10 hours

a)

$20/hour

b)

$22/hour

c)

$22.50/hour

d)

$21/hour

27.

Find the unit rate: $15 for 2 lbs

a)

$6.50/lbs

b)

$7/lbs

c)

$7.50/lbs

d)

$8.00/lbs

28.

Find the unit rate: 350 miles in 5 hours

a)

70 mph

b)

65 mph

c)

60 mph

d)

55 mph

29.

Find the unit rate: 84 points in 6 games

a)

12 points/game

b)

10 points/game

c)

8 points/game

d)

14 points/game

30.

Find the unit rate: $16.80 for 4 gallons of gas

a)

$3.10/gallon

b)

$4.20/gallon

c)

$2.50/gallon

d)

$2.99/gallon

31.

Find the unit rate: $5.04 for a 24 pack of water

a)

$0.15/bottle

b)

$0.17/bottle

c)

$0.19/bottle

d)

$0.21/bottle

32.

Find the unit rate: 360 pages in 12 hours

a)

28 pages/hour

b)

30 pages/hour

c)

32 pages/hour

d)

34 pages/hour

33.

Find the unit rate: 324 words in 6 minutes

a)

52 words/minute

b)

53 words/minute

c)

54 words/minute

d)

55 words/minute

34.

Find the unit rate: 675 beats in 5 minutes

a)

135 beats/minute

b)

120 beats/minute

c)

90 beats/minute

d)

85 beats/minute

35.

Find the unit rate: $2.09 for 24 ounces

a)

$0.12/ounce

b)

$0.11/ounce

c)

$0.10/ounce

d)

$0.09/ounce

36.

Find the unit rate: 95 students in 5 classes

a)

17 students/class

b)

18 students/class

c)

19 students/class

d)

20 students/class

37.

Find the unit rate: 56 roses in 4 rows

a)

14 roses/row

b)

16 roses/row

c)

18 roses/row

d)

20 roses/row

38.

Find the unit rate: 150 pieces of candy for 25 students

a)

5 pieces/student

b)

6 pieces/student

c)

7 pieces/student

d)

8 pieces/student

39.

Find the unit rate: $49.99 for 450 minutes of cell service

a)

$0.14/minute

b)

$0.13/minute

c)

$0.12/minute

d)

$0.11/minute

40.

Find the unit rate: 324 minutes to cook an 18 lb. turkey

a)

18 min/lb

b)

19 min/lb

c)

20 min/lb

d)

21 min/lb

41.

Eric bought a canoe for $330. The sales tax was 5.%. What was his total cost?

a)

$17.52

b)

$333.75

c)

$346.5

d)

$340.75

42.

A bicycle is on sale for $189. The sales tax rate is 5%. What is the total price?

a)

$189.50

b)

$9.48

c)

$198.98

d)

198.45

43.

Rosa and her friends are eating out for dinner. The bill was $45. They want to leave a 20% tip. How much should they leave for a tip (gratuity)?

a)

$9

b)

$20

c)

$45.80

d)

$54.96

44.

You want to buy a TV that is originally $1450 on sale for 15% off. The store is going out of business and will be marking down the TV another 30% off the sales price. Ho much will the TV cost?

a)

$1232.50

b)

$797.50

c)

$916.79

d)

$862.75

45.

$75 dress shirt; 20% discount

a)

$2.36

b)

$70.20

c)

$60.00

d)

$20.00

46.

What is the total cost with sales tax?

Price $17

Tax 6%

a)

$18.02

b)

$18.50

c)

$1.08

d)

$2.15

47.

Mr. Barrett bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales tax of 7%. What was the total cost of the battery in dollars and cents?

a)

$79.50

b)

$5.40

c)

$77.04

d)

$66.60

48.

Vickie makes $40,000. If she pays 20% in tax, what is the amount of income tax she will pay?

a)

8000

b)

80000

c)

2000

d)

1200

49.

Noah is a lawyer. Last year he made $92,000. If he has to pay 22% in tax what is the amount of tax he has to pay?

a)

2024

b)

22000

c)

20240

d)

2000

50.

Jessica is wanting to buy a $10.00 box of candy. The sales tax is 5%. How much is the total for the candy?

a)

$15.00

b)

11.00

c)

$12.00

d)

$10.50

51.

Ralph buys a computer for $675. The sales tax rate is 6%. How much total did Ralph pay for the computer?

a)

40.50

b)

715.50

c)

6.00

d)

634.50

52.

Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for their server. How much TIP are they leaving?

a)

29.90

b)

39.00

c)

4.00

d)

3.90

53.

In a video store, a DVD that usually sells for $15 is marked 10% OFF that price. How much does the DVD cost now that it's on sale?

a)

1.00

b)

1.50

c)

16.50

d)

13.50

54.

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

55.

What was done to solve the equation?

(Line 1) 5x - 8 = 32

(Line 2) 5x = 40

(Line 3) x = 8

a)

add 8 to both sides, then divide both sides by 5

b)

add 8 to both sides, then divide both sides by 40

c)

subtract 8 from both sides, then divide both sides by 5

d)

subtract 8 from both sides, then multiply both sides by 5

56.

What is the first step to solve for x. $-9\ +\ 3x\ =\ 10$

a)

Subtract 9 from both sides of the equation.

b)

Add 9 to both sides of the equation.

c)

Subtract 3 from both sides of the equation.

d)

Add 10 to both sides of the equation.

57.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

58.

The goal of solving two-step equations is to:

a)

francine

b)

Find the coefficient

c)

Find the value of the variable

59.

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

a)

Inverse operations

b)

math

c)

variable

d)

PEMDAS

60.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

61.

^{(a + 3)}⁄₇= 3

a)

a= 18

b)

a= 21

c)

a= 4

d)

a= 11

62.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

63.

3c + 5 = 23

(a)

64.

a)

145

b)

165

c)

180

d)

190

65.

Solve the equation

a)

28

b)

32

c)

29

d)

-28

66.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

67.

In the equation 4y +-9 =-36
y = -4

a)

True

b)

francine

c)

False

68.

Solve for x.

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

69.

Solve. -3x - 12 = 15

a)

9

b)

-1

c)

27

d)

-9

70.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

71.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

72.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

73.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

74.

Solve for y.
-2y=20

a)

y=-10

b)

y=2

c)

y=-20

d)

y=15

75.

$5x\ -\ 7\ \ge\ 8$

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

76.

6 + 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

77.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

78.

-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

79.

4x + 1 > 13

a)

x > 48

b)

x < 3

c)

x > 3.5

d)

x > 3

80.

2x+6>12

a)

x>9

b)

x>3

c)

x<9

d)

x<3

81.

-4x-7≥21

a)

x≥7

b)

x≥-7

c)

x≤8

d)

x≤-7

82.

Solve:
8m - 9 > 71

a)

m > 10

b)

m > 1

c)

m < 1

d)

m > -48

83.

3x - 2 < 13

a)

x > 3.67

b)

x > 5

c)

x < 5

d)

x < 3.67

84.

2x + 3 ≤ 15

a)

x ≤ 6

b)

x ≥ -6

c)

x ≤ 9

d)

x≤ -9

85.

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

a)

2 + 8x < 12

b)

2x + 8 > 12

c)

2(x+8) ≠ 12

d)

8(2+x)

86.

hint: move 11 first

a)

x ≤ 12

b)

x ≥ 12

c)

x ≥ 14

d)

x ≥ 23

87.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

88.

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

∞

89.

Solve the inequality.
-8k - 4 ≤ -60

a)

k < 7

b)

k > 7

c)

k ≤ 7

d)

k ≥ 7

90.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

91.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

92.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

93.

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

a)

(3, 6)

b)

(1.5, 3)

c)

(6, 12)

d)

(12, 6)

94.

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

95.

The rule (x, y) --> (1/2x, 1/2y) will produce what type of image?

a)

Similar figure that is an enlargement

b)

Similar figure that is a reduction

c)

Congruent figure

d)

None

96.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

¹/₂

d)

1

97.

Dilate Point B by a scale factor of 1/2

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

98.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

99.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

100.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

101.

The image A'B'C' is a rotation of ABC.

a)

True

b)

False

102.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

103.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

104.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

left 2, up 9

b)

right 2, down 9

c)

left 2, down 9

d)

left 2, up 5

105.

This point is translated 3 right and 2 down. Which diagram shows the new position of the point?

a)

b)

c)

d)

106.

The figure before a transformation has occurred is called what?

a)

Pre-image

b)

Image

c)

Translation

d)

Reflection

107.

What is the scale factor for the given dilation?

a)

2

b)

3

c)

1/3

d)

1/2

108.

If Triangle ABC is dilated using a scale factor of 1/2, what will be the coordinates of C'?

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

109.

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'?

a)

(12, -3)

b)

(12, -6)

c)

(3, -1.5)

d)

(8, -5)

PreAlg Ch 8 Review

Total questions: 109

Worksheet time: 5hrs 51mins

Similar Resources on Wayground