Free Printable Summer Review

1.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

2.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

3.

Evaluate 6p - 3 when p = 2

a)

5

b)

15

c)

9

d)

12

4.

It is not safe to use a light bulb of more than 60 watts in this light fixture.

a)

w > 60

b)

w < 60

c)

w > 60

d)

w < 60

e)

w = 60

5.

Jane and Mary are born on the same day. Mary is 4 years older. Let M stand for Mary. What expression shows how old is Jane?

a)

M + 4

b)

J +4

c)

M - 4

d)

J - 4

6.

Evaluate the expression:

16x + 11y when x = -2 and y = -3

a)

-32

b)

-65

c)

1

d)

-33

7.

$\frac{x+2y}{4x-y}$ Evaluate the expression when x = -3 and y = 4

a)

$-\frac{5}{16}$

b)

$\frac{11}{8}$

c)

$-\frac{5}{8}$

d)

1

8.

Combine Like Terms:

12k + 11(3k - 5)

a)

12k + 33

b)

45k+ 55

c)

-55k + 33

d)

45k - 55

9.

$\sqrt{48}$ Simplify:

a)

$8\sqrt{6}$

b)

$6\sqrt{8}$

c)

$2\sqrt{12}$

d)

$4\sqrt{3}$

10.

Which of these numbers is a rational number?

a)

√8

b)

√9

c)

√10

d)

π

11.

Which of the following claims is justified by the Associative Property of Multiplication?

a)

⅓(3x) = (⅓⋅3)x

b)

y²x = xy²

c)

7(x + y) = 7x + 7y

d)

Every real number besides zero has a reciprocal.

12.

Which steps would you take to convert ⅞ to a percentage?

a)

Divide 7 by 8. The quotient is the percentage.

b)

Divide 7 by 8 and move the decimal point two spaces to the left.

c)

Divide 7 by 8 and move the decimal point two spaces to the right.

d)

Set y = 7x + 8 and solve for x.

13.

Before you can add or subtract two fractions, you must

a)

find the greatest common factor of the denominators.

b)

convert both fractions to their reduced forms.

c)

make sure the denominators are the same.

d)

take the square root of both sides.

14.

The following numbers are the lengths of the sides of a triangle. Which triangle is a right triangle?

a)

3, 4, and 6

b)

5, 5, and 8

c)

5, 6, and 8

d)

5, 12, and 13

15.

Which of the following is equivalent to x − (-7)?

a)

x + 7

b)

x - 7

c)

7 - x

d)

7x

16.

A negative rational number times a postive integer must be

a)

a negative integer

b)

a positive rational number

c)

a negative rational number

d)

an irrational number

17.

You roll two dice. What is the probability that they both show the same number on top?

a)

1/6

b)

1/2

c)

1

d)

1/36

18.

You want to solve the equation 5x = 3. What's the clearest way to describe your first step?

a)

Subtract 5.

b)

Subtract 3.

c)

Divide.

d)

Divide both sides of the equation by 5.

19.

Which statement is most accurate?

a)

Only brainiacs can be good at math.

b)

Some people are math people, and some aren't.

c)

People who exercise their math brains get better at math.

d)

People who study math for a living solve math problems very quickly.

20.

Irrational Numbers....

a)

cannot be represented as a simple fraction

b)

can be represented as a fraction

c)

can be a repeating decimal

21.

Zero belongs to all of the following sets:

a)

Rational, Integer, Real

b)

Rational, Real

c)

Rational, Integer, Whole, Real

d)

Rational, Integer, Whole, Natural

22.

What is the most specific number set for $-\sqrt{4}$

a)

irrational

b)

rational

c)

integer

d)

natural

23.

Evaluate: $\frac{3}{10}\div\frac{2}{4}$

a)

$\frac{3}{20}$

b)

$\frac{5}{3}$

c)

$\frac{3}{5}$

d)

$\frac{20}{3}$

24.

Evaluate: $\frac{3}{5}+\frac{1}{4}$

a)

$\frac{3}{20}$

b)

$\frac{4}{9}$

c)

$\frac{19}{20}$

d)

$\frac{17}{20}$

25.

a)

9

b)

0

c)

2/3

d)

3

26.

Simplify:
x + y + z + 10z + y - 10x

a)

9y + 11x + 2z

b)

9z + 11x + 2y

c)

9x + 11z - 2y

d)

-9x + 11z + 2y

27.

⅔(¼x - 6)

a)

⅙x - 4

b)

½x - 3

c)

⅘x - 2

d)

⅛x - 6

28.

Solve 1(-7 + 2 (3+2) - 5)²

a)

9

b)

5

c)

4

d)

6

29.

Which numeric expression matches this written expression?

two times the sum of eight and seven

a)

2 x 8 x 7

b)

2 + (8 + 7)

c)

2 x 8 + 7

d)

2 x (8 + 7)

30.

Simplify:

2 × 3 − (14 ÷ 7 + 2)²+ 5

a)

-5

b)

-75

c)

49

d)

-1

31.

(-4)²

a)

16

b)

-16

c)

8

d)

-8

32.

Solve

a)

2

b)

-2

c)

6

d)

-6

33.

Evaluate the expression:

5|–1 + 4|

a)

25

b)

15

c)

–15

d)

–25

34.

Tim has 32 songs on his ipod. Three-eighths of those songs are by Bob Marley. How many Bob Marley songs does Tim have on his ipod?

a)

12 songs

b)

15 songs

c)

9 songs

d)

18 songs

35.

4/16 x 2/5

a)

1/3

b)

1/10

c)

8/21

d)

1/4

36.

Multiply and simplify if possible.

a)

-4/72

b)

-1/18

c)

-4/9

d)

9/32

37.

Which number is a factor of 18

a)

4

b)

7

c)

6

d)

12

38.

Round 0.954 to the nearest tenth.

a)

1.1

b)

1.0

c)

1.00

d)

0.10

39.

Round 61.9348 to the nearest hundredth.

a)

61.9349

b)

61.93

c)

61.935

d)

61.934

40.

Solve m³- 5 when m= 2

a)

1

b)

12

c)

4

d)

3

41.

z=4
(z•12+16) ÷z

a)

16

b)

10

c)

22

d)

210

42.

Simplify

a)

4x + 5

b)

6x + 5

c)

4x - 3

d)

6x - 3

43.

a)

11/12

b)

3/7

c)

3/12

d)

3/4

44.

Distribute -8(2x - 5)

a)

-16x - 5

b)

-16x - 40

c)

-16x + 5

d)

-16x + 40

45.

What fraction is shown in the picture?

a)

1/8

b)

2/8

c)

4/8

d)

2/10

46.

7.05 - 4.6 =

a)

2.45

b)

3.65

c)

11.65

d)

11.45

47.

76 X 1.6 =

a)

948.5

b)

121.6

c)

645.5

d)

741.2

48.

Josh bought one T-shirt for $7.90 and another T-shirt for $12.40. What is the total amount he spent?

a)

$4.00

b)

$4.50

c)

$20.30

d)

$20.00

49.

Which number goes in the box to make this comparison true?

a)

4

b)

6

c)

1,000,000

d)

5

50.

Which model shows 1/8 of the whole figure shaded?

a)

b)

c)

d)

51.

6 x 4/8

a)

4

b)

3

c)

3 1/3

d)

3 1/8

Summer Review

Total questions: 51

Worksheet time: 2hrs 29mins

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