Free Printable Unit 1 (Part 1) Review

1.

Which of the following numbers is rational?

a)

$\sqrt{7}$

b)

$\frac{2}{3}$

c)

3.1456289...

d)

$\pi$

2.

Which of the following numbers is not rational?

a)

$-3$

b)

$2.7$

c)

$\sqrt{4}$

d)

$\sqrt{5}$

3.

Select ALL numbers that are irrational.

a)

10

b)

-21

c)

$\pi$

d)

$\frac{10}{2}$

e)

$\sqrt{10}$

4.

Determine which of the following examples is irrational.

a)

A fraction whose denominator is larger than its numerator

b)

A decimal that never ends but repeats

c)

A perfect cube root

d)

A decimal that never ends and never repeats

5.

Which of the following numbers is irrational?

a)

$\sqrt{50}$

b)

$\sqrt{36}$

c)

$\sqrt{169}$

d)

$\sqrt{225}$

6.

What kind of number is -3?

a)

rational

b)

irrational

c)

whole

d)

natural

7.

Which number is an integer?

a)

-1/2

b)

0.2

c)

3/4

d)

-2

8.

The following set of numbers are called what?
{0, 1, 2, 3....}

a)

Whole numbers

b)

Integers

c)

Plain Numbers

d)

Irrational numbers

9.

A REPEATING decimal is what type of number?

a)

Rational

b)

Irrational

10.

The square root of 2 is an irrational number because...

a)

All square roots are irrational

b)

The answer is a decimal that never stops or repeats

c)

Two is an even number

d)

The answer is a decimal that never stops

11.

Is the number rational or irrational?

a)

Rational -

b)

Irrational

12.

Is the number rational or irrational?

a)

Rational

b)

Irrational

13.

$\sqrt{10}$

Rational or Irrational?

a)

Rational

b)

Irrational

14.

a)

A, B, C

b)

B, C, A

c)

C, A, B

d)

A, C, B

15.

If a square has an area of 36 square inches, what is the length of each side?

a)

9 inches

b)

6 inches

c)

4 inches

d)

18 inches

16.

If a square has an area of 252 ft², describe the side length of the square:

a)

Each side of the square would be 63 feet.

b)

Each side of the square would be 25.2 ft.

c)

Each side of the square would be between 15.8 and 15.9 feet.

d)

Each side of the square would be 1,008 feet.

17.

A square with an area of 300 in² must have side lengths that are between:

a)

17 and 17.5 inches

b)

15 and 16 inches

c)

18 and 20 inches

d)

14.5 and 15 inches

18.

Which description best describes an irrational number?

a)

A repeating decimal

b)

An improper fraction

c)

A non-repeating, non-terminating decimal

d)

A perfect square

19.

What is the area of a square with side lengths of 9.6 meters?

a)

92.16 m²

b)

38.4 m²

c)

19.2 m²

d)

28.8 m²

20.

Between which two whole numbers is the $\sqrt[]{5}$ ?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

21.

a)

M

b)

N

c)

O

d)

P

22.

Which best represents point Z on the number line?

a)

√165

b)

√149

c)

√12.2

d)

√13

23.

Which points are greater than √5 ? Choose ALL that apply.

a)

Point M

b)

Point N

c)

Point P

d)

Point Q

e)

None of the above

24.

Which is the best approximation of point P?

a)

√8

b)

√2.8

c)

17/5

d)

2 1/4

25.

A square poster has an area of 81 square inches. What is the length of each side of the square?

a)

3 inches

b)

9 inches

c)

20.25 inches

d)

40.5 inches

26.

What does this symbol represent?

a)

square root

b)

divide by 2

c)

cube root

d)

greater than or less than

27.

Which representations are equal to 64?

a)

8²

b)

32²

c)

(-8)(-8)

d)

4³

e)

21³

28.

Leona is so excited. Her grandma is ordering a cubic hot tub that has a volume of 216 ft³. Her grandma needs to know how long each side is to order trim. What is the length of each side?

a)

4 feet

b)

6 feet

c)

8 feet

d)

108 feet

29.

Valencia, Saralyn, and Emily are solving math problems to win a race. They need to determine the approximate value of $\sqrt{47}$ . Saralyn insists the value is closer to 7, while Emily is sure it is closer to 8. Valencia thinks the value is closer to 6. Who do you agree with?

a)

Saralyn

b)

Emily

c)

Valencia

30.

What is the difference between the area of square A and square B.

Square A has side lengths of 5 cm and square B has side lengths of 7 cm.

a)

2 cm²

b)

4 cm²

c)

16 cm²

d)

24 cm

e)

24 cm²

31.

$\sqrt[3]{8}$ (cube root of 8)

a)

2

b)

$\pm2$

c)

-2

d)

None of the above

32.

$\sqrt[3]{-1}$ (cube root of -1)

a)

$\pm1$

b)

1

c)

-1

d)

none of the above (imaginary number)

33.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

34.

Solve for p when $p^2=100$

a)

$\pm10$

b)

10

c)

$\pm1,000$

d)

1,000

35.

Solve for x when $x^3=\frac{1}{8}$

a)

2

b)

$\frac{1}{64}$

c)

$\frac{1}{3}$

d)

$\frac{1}{2}$

36.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

37.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

38.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

39.

Is 225 a perfect square?

a)

Yes

b)

No

40.

13²

a)

26

b)

196

c)

144

d)

169

41.

$\sqrt[3]{-27}$

a)

3

b)

-3

c)

±3

d)

None of these

42.

$x^2=36\$

a)

$6$

b)

$\pm6$

c)

$-6$

d)

$\pm18$

43.

$\sqrt[]{225}$

a)

13

b)

16

c)

18

d)

15

44.

$\sqrt[]{196}$

a)

12

b)

13

c)

14

d)

15

45.

Which number is NOT a perfect square?

a)

196

b)

169

c)

121

d)

132

46.

14²=

a)

7

b)

28

c)

169

d)

196

47.

Solve. $\sqrt[]{9}\times\sqrt[]{100}$

a)

30

b)

-200

c)

900

d)

90

48.

Estimate $\sqrt[]{5}$ to the nearest tenth:

a)

2.2

b)

2.9

c)

4.1

d)

3.2

49.

Which number is the smallest?

a)

A

b)

B

c)

C

d)

D

e)

E

50.

Point B could represent which of the following numbers?

a)

$\sqrt[]{24}$

b)

$\sqrt[]{30}$

c)

$\sqrt[]{35}$

d)

$\sqrt[]{42}$

51.

The $\sqrt[]{21}$ is between which two integers?

a)

5 and 6

b)

20 and 22

c)

4 and 5

d)

10 and 11

52.

The $\sqrt[]{40}$ is between which two integers?

a)

39 and 41

b)

6 and 7

c)

5 and 6

d)

19 and 21

53.

Mrs. Hiltz and Ms. Weber decide to host a lemonade stand. The table they use has side lengths of 5 feet. What is the area of their table?

a)

25 feet

b)

25 square inches

c)

5 ft²

d)

25 square feet

54.

Solve

$x^2=25$

Select all that apply

a)

x=5

b)

x=-5

c)

x=525

d)

x=3

e)

x=-3

55.

Solve

$y^2=36$

Select all that apply

a)

y=-6

b)

y=-9

c)

y=6

d)

y=9

e)

y=3

56.

Solve

$z^2=81$

Select all that apply

a)

z=-3

b)

z=9

c)

z=245

d)

z=6

e)

z=-9

57.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

58.

Solve the following (find the simplest form)

$\sqrt{\frac{25}{64}}$

a)

$\frac{5}{8}$

b)

$\frac{\sqrt[]{5}}{\sqrt[]{8}}$

c)

$\frac{\sqrt[]{5}}{8}$

d)

$\frac{5}{\sqrt[]{8}}$

59.

A square poster has an area of 81 square inches. What is the length of each side of the square?

a)

3 inches

b)

9 inches

c)

20.25 inches

d)

40.5 inches

60.

What does this symbol represent?

a)

square root

b)

divide by 2

c)

cube root

d)

greater than or less than

61.

Evaluate.

a)

$-\frac{1}{15}$

b)

$\frac{1}{15}$

c)

$-\frac{1}{5}$

d)

$\frac{1}{5}$

62.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

63.

Find the cube root:

$\sqrt[3]{-1000}$

a)

Not a real number

b)

10

c)

-10

d)

-100

64.

$\sqrt{\frac{16}{81}}$ =

a)

$\frac{4}{9}$

b)

$\frac{8}{27}$

c)

$\frac{8}{9}$

d)

$\frac{4}{3}$

65.

Between which two whole numbers does the $\sqrt[]{32}$ fall?

a)

4 and 5

b)

5 and 6

c)

6 and 7

d)

7 and 8

66.

Between which two whole numbers does the $\sqrt[]{115}$ fall?

a)

9 and 10

b)

10 and 11

c)

9 and 11

d)

11 and 12

67.

Between which two whole numbers does the $\sqrt[]{71}$ fall?

a)

10 and 11

b)

9 and 10

c)

8 and 9

d)

7 and 8

68.

Evaluate.

a)

444

b)

222

c)

4

d)

2

69.

Simplify

a)

$\frac{6}{7}$

b)

$\frac{4}{9}$

c)

$\sqrt[]{\frac{6}{7}}$

d)

e)

$\frac{6}{9}$

70.

Which of these is both a perfect square and a perfect cube?

a)

64

b)

125

c)

225

d)

81

71.

If x³ = -27, then x equals

a)

-3

b)

-9

c)

+3 and -3

d)

+9 and -9

72.

Select all the PERFECT CUBES

a)

8

b)

2

c)

125

d)

27

73.

Find the AREA of this figure.

a)

25 square feet

b)

20 cm

c)

25 square cm

d)

20 cm sq.

74.

Which point most closely corresponds to ∛8 on the number line below? (Click the question to see the picture)

a)

P

b)

Q

c)

R

d)

S

Unit 1 (Part 1) Review

Total questions: 74

Worksheet time: 2hrs 36mins

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