Free Printable overall mixed review

1.

Which expressions are equivalent to 3(4x + 5)

a)

12x + 5

b)

12x + 15

c)

3x + 4x + 5x + 10 + 5

d)

5x + 7 + 7x + 8

e)

7x + 8

2.

Zero is a ___________.

a)

whole number

b)

natural number

c)

whole number, integer, and rational

d)

irrational

3.

A fraction is which type of number?

a)

Rational

b)

Irrational

4.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

5.

Is √2 Irrational?

a)

Yes

b)

No

6.

Order from least to greatest
1/6, -0.35, -1/4

a)

1/6, -0.35, -1/4

b)

-1/4, -0.35, 1/6

c)

-0.35, -1/4, 1/6

d)

1/6, -1/4, -0.35

7.

2 3/4 + (-1/4) =

a)

2 1/2

b)

3

c)

-2 1/2

d)

3 1/4

8.

The numbers 0, 1, 2, 3, ... are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

9.

Select all the expressions that result in a rational number.

a)

b)

c)

d)

e)

10.

-15 + -8 =

a)

23

b)

-23

c)

7

d)

-7

11.

a)

-3 +7 = 10

b)

7 + (-3) = 4

c)

7 + (-10) = -3

d)

10 + (-3) = 7

12.

13²

a)

26

b)

196

c)

144

d)

169

13.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

14.

√64

a)

3

b)

8

c)

7

d)

6

15.

√ 121

a)

10

b)

11

c)

12

d)

121

16.

Find the AREA of this figure.

a)

20 square feet

b)

20 cm

c)

25 square cm

d)

20 cm sq.

17.

$y^3=125$
Find the value of y

a)

5

b)

15

c)

20

d)

25

18.

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

a)

-8

b)

-6

c)

6

d)

8

19.

$8\times8\times8=\left(2^3\right)\times\left(2^3\right)\times\left(2^3\right)$

a)

TRUE

b)

FALSE

20.

$10\times10\times10=10^x$
Find the value of x

a)

3

b)

10

21.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

22.

(a)

23.

CHALLENGE.

a)

3

b)

62

c)

6

d)

2

24.

Find the value of the following: 7² + 6³ ÷ 2³

a)

216/8

b)

33

c)

74

d)

none of those

25.

In 2³what is the base?

a)

2

b)

3

c)

2³

26.

The volume of a cube is 64 cm³. What is the length of each side of the cube?

(a)

27.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

28.

what is the area of a circle with the diameter of 10cm ?

a)

66cm

b)

78.5cm

c)

66.5cm

d)

10m

29.

A cruise ship has a large, circular window. It has a diameter of 8 meters. What is the window's area?

a)

31.25 m²

b)

29.55 m²

c)

30.36 m²

d)

50.27 m²

30.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

31.

Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?

a)

11.32 ft

b)

12.25 ft

c)

10.99 ft

d)

8.75 ft

32.

Determine the radius of the penny

a)

59.66 mm

b)

9.5 mm

c)

38 mm

d)

119.32 mm

33.

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

a)

c = 15π

b)

C = 2π15

c)

c = 15/π

d)

c = 15/2π

34.

The ratio of red counters to blue counters is 3 : 1

What fraction of the counters are blue?

a)

¹/₄

b)

³/₄

c)

¹/₃

d)

³/₁

35.

The ratio of clubs to hearts in a hand of playing cards is 6 : 1

What fraction of the cards are hearts?

a)

¹/₆

b)

⁶/₁

c)

¹/₇

d)

⁶/₇

36.

A class is attended by 16 boys and 32 girls. Write the ratio of GIRLS to BOYS as a fraction in SIMPLEST FORM.

a)

$\frac{32}{16}$

b)

$\frac{1}{2}$

c)

$\frac{16}{32}$

d)

$\frac{2}{1}$

37.

Use the shapes in the picture to write the ratio of STARS to SQUARES.

a)

3 to 2

b)

2 to 4

c)

4 to 2

d)

3 to 4

38.

Find THREE equivalent ratios for 4 to 7. Select all that apply.

a)

$\frac{8}{14}$

b)

7 to 4

c)

24:42

d)

7:4

e)

20:35

39.

Select TWO equivalent ratios for 8:10

a)

10:8

b)

4:5

c)

40:40

d)

80:100

40.

Select TWO equivalent ratios for

\frac{4}{6}

a)

$\frac{2}{3}$

b)

$\frac{12}{18}$

c)

$\frac{1}{3}$

d)

$\frac{3}{2}$

41.

What is the ratio of red apples to green apples

a)

7 apples to 3 green

b)

4 red apples to 7 apples

c)

4 red apples to 3 green apples

d)

3 green apples to 4 red apples

42.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

43.

There are 4 birds and 6 snakes. What is the ratio of birds to snakes?

a)

6/4

b)

4/6

c)

1/3

d)

10/16

44.

Which ratio is equivalent to 5 to 4

a)

25 to 20

b)

10 to 12

c)

4 to 5

d)

15 to 8

45.

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

46.

Four pounds of bananas cost $6. What is the cost per pound of bananas?

a)

$24 per pound

b)

$1.50 per pound

c)

$1 per pound

d)

$6 per pound

47.

Which is the "better buy"? A 12 ounce can of corn for $1.92 of a 20 ounce can of corn for $3.00?

a)

They are the same

b)

The 20 ounce can

c)

The 12 ounce can

48.

A stores sells 12 cans of beans for $27. What is the price of 7 cans of beans?

a)

$15.75

b)

$84

c)

$13.25

d)

$2.25

49.

Three stores sell the same item. Which store has the best buy?

a)

Store A

b)

Store B

c)

Store C

50.

What are the terms of the expression 5x - 3y + 4?

a)

5, 3, and 4

b)

5x and 3y

c)

5x, 3y, and 4

d)

5x, -3y, and 4

51.

Which answer choice is equivalent to:

3(2x+8)

Select all that apply.

a)

3x+20+2x+4+x

b)

6x+24

c)

6x+8

d)

5x+11

e)

6(x+4)

52.

Which answer choice is equivalent to:

3(2x+8)

Select all that apply.

a)

3x+20+2x+4+x

b)

6x+24

c)

6x+8

d)

5x+11

e)

6(x+4)

53.

Which group is a list of "like terms"from the following expression?

a)

3, 14, r

b)

14x, 5x, x

c)

2x, 7, 14x

d)

2x, 5x

54.

Which answer choice is equivalent to:
30x-24

a)

4(7x-6)

b)

6(5x-4)

c)

5(x+5)+25x

d)

6(4x+5)-5x

55.

There are 34 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 50 pine trees in the park. Write an equation that could be used to find how many pine trees they planted.

a)

50 + x = 34

b)

34 + x = 50

c)

x - 34 = 50

d)

34 - x = 50

56.

Sally had 10 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 73 peaches at the stand. Write an equation that could be used to find how many peaches she picked.

a)

x + 10 = 73

b)

73 + x = 10

c)

10x = 73

d)

x - 10 = 73

57.

Dan has 9 sticky notes left. I have 9 times as many as Dan. How many sticky notes do I have?

a)

81

b)

9

c)

72

58.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

59.

-5 - 6a = -59

a)

a= 11

b)

a= -6

c)

a= 9

d)

a= 2

60.

Where/what is the mistake?

a)

Line 2 - You should add 12 to both sides.

b)

Line 4 - You should multiply both sides by the reciprocal.

c)

Line 4 - You should multiply both sides by the original fraction.

d)

Line 5 - There was a calculation error.

overall mixed review

Total questions: 60

Worksheet time: 4hrs 5mins

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