Free Printable Math Review -- Incoming 8th Graders

1.

When multiplying or dividing a NEGATIVE and NEGATIVE integer, your result will be...

a)

Positive

b)

Negative

c)

Depends on which number has the greater value.

2.

When multiplying or dividing a NEGATIVE and POSITIVE integer your result will be...

a)

Positive

b)

Negative

c)

Depends on which number has the greater value.

3.

$-7\ \left(10\right)=$

a)

70

b)

700

c)

-70

d)

-700

4.

$-20\div5=$

a)

-4

b)

4

c)

-100

d)

100

5.

$44\div\left(-4\right)=$

a)

11

b)

-176

c)

-11

d)

176

6.

$-30\div\left(-10\right)=$

a)

-300

b)

-3

c)

3

d)

300

7.

$-5\ \left(-8\right)=$

a)

-40

b)

-13

c)

13

d)

40

8.

$\left(-3\right)^2$

a)

-6

b)

-9

c)

9

d)

6

9.

Which results in a number larger than 70?

a)

70 x -10

b)

70 - (-10)

c)

70 + (-10)

10.

Solve:
(-2)(-1)(-3)(-4)(-1)

a)

-11

b)

24

c)

-24

d)

11

11.

(-8) x ___ = -32

a)

3

b)

-3

c)

4

d)

-4

12.

If the temperature drops 5 degrees every hour for 9 hours, which integer represents the change in temperature?

a)

14

b)

-14

c)

45

d)

-45

13.

Flora made 3 withdrawals of $75 each from her bank account.
What was the overall change in her account?

a)

-$225

b)

$225

c)

-$25

d)

$25

14.

a)

5

b)

-5

c)

3

d)

-3

15.

If there are an odd number of negatives in a problem, the answer is
Example: (-4)(-5)(-2)

a)

Positive

b)

Negative

16.

(-1)(1)(-1)(-2)(-1)(1)

a)

2

b)

-2

c)

-5

d)

5

17.

Which expression is represented with the tiles?

a)

-2(-5)

b)

2(-5)

c)

-10/-2

d)

0 - (-10)

18.

Is the product –9 • (–4) positive or negative?

a)

negative

b)

positive

c)

both

d)

neither

19.

Is the product
–8 • (–3) positive or negative?

a)

negative

b)

positive

c)

both

d)

neither

20.

Select ALL that have a positive solution

a)

3 × 5

b)

15 ÷ -5

c)

-10 × -5

d)

-4 × 6

e)

-30 ÷ -6

21.

-3 ¼ + ½

a)

-2 ¾

b)

3 ¾

c)

-3 ¾

d)

-¾

22.

Candice and Chris run a relay race at recess. Candice runs 1 ⅓ of a lap around the track. Chris runs ½ of a lap around the track. How much farther does Candice run than Chris?

a)

⅚ laps

b)

⅔ laps

c)

¾ laps

d)

⅙ laps

23.

-2 ⅙ - (-1 ¾)

a)

-5/12

b)

3 11/12

c)

5/12

d)

-2 1/10

24.

Simplify the expression
$-4\ \times\ \left(-9\ \frac{1}{3}\right)$

a)

$37\ \frac{1}{3}$

b)

$-37\ \frac{1}{3}$

c)

$-\frac{3}{112}$

d)

$-\frac{3}{7}$

25.

Simplify, if possible.
1 ¾ + 2 ½ =

a)

4 ¼

b)

3 ¼

c)

3 ¾

d)

4 ¾

26.

Simplify the expression
$-\frac{13}{14}\ \times\ \left(-6\right)$

a)

$5\frac{4}{7}$

b)

$-5\frac{4}{7}$

c)

$\frac{13}{84}$

d)

$-\frac{13}{84}$

27.

3/5 - 7/10

a)

-1/10

b)

10/15

c)

-10/5

d)

15/15

28.

$-\frac{5}{14}\ \div\ -1\ \frac{3}{7}$

a)

$-\frac{1}{4}$

b)

$\frac{1}{4}$

c)

$-\frac{25}{49}$

d)

$\frac{25}{49}$

29.

Answer in simplest form.
-5/8 + 3/8

a)

1

b)

8/8

c)

-2/8

d)

-1/4

30.

Simplify the expression:
$-1\ \frac{7}{8}\ \div\ \frac{9}{6}$

a)

$1\ \frac{1}{4}$

b)

$-1\ \frac{1}{4}$

c)

$2\ \frac{13}{16}$

d)

$-2\frac{13}{16}$

31.

2/9 - (-1/3) =

a)

7/6

b)

5/9

c)

-1/3

d)

8/27

32.

What is the first step to solve for b:

2b = -16

a)

add 2 to both sides

b)

subtract 2 to both sides

c)

multiply 2 to both sides

d)

divide 2 to both sides

33.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

34.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

35.

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

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

36.

What is the first step to solving this equation?

a)

add -8 to both sides

b)

subtract -8 to both sides

c)

Multiply -8 to both sides

d)

divide -8 to both sides

37.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

38.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

39.

What would be the best first step to solving the equation?

a)

multiply both sides by 3

b)

multiply both sides by 4

c)

divide both sides by 3

d)

divide both sides by 4

40.

In an equation or inequality, you want to get the variable...

a)

on one side

b)

to disappear

c)

by itself

41.

To Solve the Equation Below, you'd
x - 62 = 123

a)

add 62 to each side

b)

subtract 62 from each side

c)

multiply each side by 62

d)

Add 123 to each side

42.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

43.

What is your first step when you solve x + 5 = 12

a)

Add 5 to 5 and add 5 to 5 to 12

b)

Subtract 5 from 5 and subtract 5 from 12

c)

Subtract 12 from 12 and subtract 12 from 5

d)

Add 12 to 12 and add 12 to 5

44.

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

a)

subtraction

b)

addition

c)

multiplication

d)

division

45.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

46.

x - 4 = 12

a)

x = 8

b)

x = 16

c)

x = -8

d)

x = 3

47.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

48.

When solving a two-step equation which operations do you undo first?

a)

addition and subtraction

b)

addition and multiplication

c)

multiplication and division

d)

subtraction and division

49.

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.

50.

Level 3

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

51.

Solve for w.

-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

52.

Solve for t.

-4 = 2t - 2

a)

-1

b)

1

c)

4

d)

0

53.

Solve for s.

9 = 2s + 1

a)

4

b)

-4

c)

3.5

d)

5

54.

WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?

a)

5+x=25

b)

5+4x=25

c)

5x=25

d)

23-5=4x

55.

What is the first step in solving the equation: $5x+3=33$

a)

Subtract 5

b)

Subtract 3

c)

Divide by 5

d)

Add 3

56.

What is the second step in solving: $5x+3=33$

a)

Subtract 3

b)

Multiply by $\frac{1}{3}$

c)

Subtract 33

d)

Divide by 5

57.

What is the solution to: $5x+3=33$

a)

$x=-6$

b)

$x=\frac{36}{5}$

c)

$x=30$

d)

$x=6$

58.

To solve the equation $0.4\left(x-5\right)=20$ by clearing it of decimals, what is the first step?

a)

Distribute 0.4

b)

Add 5

c)

Multiply by 0.4

d)

Divide by 0.4

59.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

60.

a)

1

b)

3

61.

a)

4

b)

12

62.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

63.

A recipe called for the ratio of sugar to flour to be 10:3. If you used 50 ounces of sugar, how many ounces of flour would you use?

a)

21

b)

15

c)

13

d)

120

64.

A car travels 50 miles in 40 minutes.

How many miles does the car travel in 20 minutes?

a)

25 miles

b)

60 miles

c)

1.25 miles

d)

70 miles

65.

A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

a)

24 Weeks

b)

24-ounce bottle

c)

10.6 Weeks

d)

10.6-ounce bottle

66.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

67.

Solve the proportion.

a)

n=6

b)

n=24

c)

n=7

d)

n=8

68.

Solve the proportion.

a)

q=2

b)

q=9

c)

q=4.5

d)

q=6

69.

Solve for x

a)

x = 19.6

b)

x = 5/98

c)

x = 101/5

70.

Solve for x

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

71.

The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are sold?

a)

10%

b)

20%

c)

80%

d)

90%

72.

You got 23 correct on a quiz that was out of 25 points. What percent did you get correct?

a)

78%

b)

76%

c)

89%

d)

92%

73.

A garden has 10 tulips, 4 rose bushes and 6 sunflowers. What percent of the garden is tulips?

a)

10%

b)

20%

c)

100%

d)

50%

74.

What is 20% on a $30 breakfast bill?

a)

$12

b)

$3

c)

$6

d)

$10

75.

PINE TREES A town had about 2120 acres of pine trees 40 years ago. Only about 13% of the pine trees remain. How many acres of pine trees remain?

a)

275 pine trees

b)

265.7 pine trees

c)

275.6 pine trees

d)

235.6 pine trees

76.

$\frac{17}{20}=\frac{85}{\ \ \ ?\ \ \ \ }$ What is missing?

a)

Part

b)

Whole

c)

Percent

d)

100

77.

25 is 5% of what number?

a)

250

b)

500

c)

750

d)

1000

78.

A survey of 1,000 people was done by the New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,000 people DID KNOW the name of the Congressman?

a)

200

b)

400

c)

600

d)

800

79.

72 is what percent of 150

a)

22

b)

45

c)

54

d)

48

80.

20% of my 50 students are left handed. How many of my students are left handed?

a)

20

b)

10

c)

1,000

d)

14

81.

You plan to purchase a plane ticket for $299.00 and you are going to use a discount code to receive 15% off. How much will the ticket cost?

a)

$149.50

b)

$254.15

c)

$343.85

d)

$44.85

82.

A store pays $1.50 for a bag of candy. If the store wants to mark-up the price 60%, for how much will the store sell the bag of candy?

a)

$0.60

b)

$2.40

c)

$0.90

d)

$6.00

83.

The groceries that Bailee buys at the store total $135.75. If the sales tax is 4%, how much will Bailee have to pay for her groceries, including tax?

a)

$5.43

b)

$141.18

c)

$130.32

d)

$6.28

84.

Find the total cost on a TV that costs $990 and you are charged a 9% sales tax.

a)

$ 89.10

b)

$ 900.90

c)

$ 1,079.10

d)

Free

85.

You have dinner at a restaurant and the cost of your meals is $28.00. Because of the great service, you want to leave a 20% tip. What is your total bill including tip?

a)

$33.60

b)

$40.00

c)

$24.60

d)

$5.60

86.

Find the cost of a comic book for $3.95 with a markup of 20%

a)

$0.80

b)

$0.79

c)

$4.74

d)

$4.75

87.

The Green family went to dinner and the bill was $67.45. Mr. Green wanted to leave an 18% tip for the waiter. How much will the waiter receive?

a)

$121.41

b)

$55.31

c)

$79.59

d)

$12.14

88.

A pair of shoes that normally sells for $82.88 goes on sale for 35% off. What is the FINAL sale price?

a)

$29.01

b)

$53.87

c)

$72.88

d)

$82.88

89.

When you have a discount, do you add or subtract the discount from the total?

a)

Subtract

b)

Add

90.

When you have tax, do you add or subtract it from the total?

a)

Add

b)

Subtract

91.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

92.

A cube's side length measures 15 inches. What is the surface are of the cube?

a)

225 in²

b)

1350 in²

c)

3375 in²

d)

1125 in2

93.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

94.

Calculate the surface area.

a)

12 m²

b)

8 m²

c)

24 m²

d)

20 m²

95.

What do we call this object below?

a)

Net

b)

Triangle

c)

Geometry

d)

y = mx + b

96.

Find the surface area of the rectangular prism.

a)

94 cm. squared

b)

60 cm. squared

c)

12 cm. squared

d)

19 cm. squared

97.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

98.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

99.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

100.

a)

184 mm²

b)

186 mm²

c)

172 mm²

d)

196 mm²

Math Review -- Incoming 8th Graders

Total questions: 100

Worksheet time: 3hrs 20mins

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