Free Printable Summer Math Packet Review

1.

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

a)

$\frac{3}{20}$

b)

$\frac{5}{3}$

c)

$\frac{3}{5}$

d)

$\frac{20}{3}$

2.

5³- (-5)

a)

10

b)

20

c)

120

d)

130

3.

Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

4.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

5.

-3 ¼ + ½

a)

-2 ¾

b)

3 ¾

c)

-3 ¾

d)

-¾

6.

Simplify:

2 × 3 − (14 ÷ 7 + 2)²+ 5

a)

-5

b)

-75

c)

49

d)

-1

7.

Solve m³- 5 when m= 2

a)

1

b)

12

c)

4

d)

3

8.

Solve for x:
52 = -5x - 3

a)

x = 11

b)

x = -11

c)

x = 275

d)

x = -275

9.

Multiply these factions

a)

1 / 5

b)

1 / 1

c)

5 / 30

d)

0

10.

If b = 6 and c = 1, what is b² - 4c equal to?

a)

8

b)

16

c)

32

d)

35

11.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

12.

What is the slope of the line?

a)

3/2

b)

-3/2

c)

2/3

d)

-2/3

13.

What does the b represent?

a)

Slope

b)

y-intercept

c)

x coordinate

d)

y coordinate

14.

What does the x represent?

a)

slope

b)

y-intercept

c)

x coordinate

d)

y coordinate

15.

What is the slope of the line?

a)

3/2

b)

-3/2

c)

2/3

d)

-2/3

16.

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

a)

3

b)

4x

c)

4

d)

x

17.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

18.

Solve for x

a)

x = 19.6

b)

x = 5/98

c)

x = 101/5

19.

Solve the proportion.

a)

q=2

b)

q=9

c)

q=4.5

d)

q=6

20.

√ 16

a)

8

b)

3

c)

4

d)

6

21.

17² =

a)

34

b)

289

c)

225

d)

324

22.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

23.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

24.

What is 9/10 - 3/4?

a)

5/7

b)

3/20

c)

3/8

d)

9/10

25.

$2\frac{9}{10}\ +6\ \frac{1}{3}=$

a)

$9\ \frac{7}{30}$

b)

$5\ \frac{4}{9}$

c)

$6\ \frac{1}{4}$

d)

$4\ \frac{1}{2}$

26.

What inequality does the number line graph represent?

a)

x <= 4

b)

x>= -4

c)

x < -4

d)

x < 4

27.

What inequality does the number line graph represent?

a)

x >= 3

b)

x > 3

c)

x < -3

d)

x <= 3

28.

Which property is this an example of?
6 x 7 = 7 x 6

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Inverse Property of Multiplication

d)

Distributive Property

29.

4 + 3 + (2 + 5) = 4 + (3 + 2) + 5

a)

Commutative Addition

b)

Associative Addition

c)

Commutative Multplication

d)

Associative Multiplication

30.

This property tells us that when we change the order of numbers when we are adding, the answer does not change.

a)

Commutative Addition

b)

Commutative Multiplication

c)

Associative Addition

d)

Associative Multiplication

31.

What is the algebraic expression for the phrase "5 more than 3 times a number?"

a)

8

b)

5 + 3x

c)

5 + 3 x 10

d)

3 + n + 5

32.

What is the expression for this word problem: six feet less than the width (use w for width).

a)

w - 6

b)

6 / w

c)

6 - w

d)

w / 6

33.

Tickets to Disney World are $100. The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?

a)

25%

b)

18%

c)

20%

d)

50%

34.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

35.

What is the constant of proportionality for this table?

a)

1/9

b)

9

c)

8

36.

What is the constant of proportionality?

a)

8

b)

16

c)

24

d)

2

37.

What is the area?

a)

32.94 square centimeters

b)

35.94 square centimeters

c)

30.4 square centimeters

d)

11.5 square centimeters

38.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

39.

Solve for x.
-3x-3=12

a)

x=4

b)

x=3

c)

x=-5

d)

x=12

40.

-4x+12=24

a)

x=12

b)

x=-4

c)

x=-3

d)

x=15

Summer Math Packet Review

Total questions: 40

Worksheet time: 2hrs 2mins

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