Free Printable Topic 1 Review for Test

1.

A fraction is which type of number?

a)

Rational

b)

Irrational

2.

A non-terminating decimal is which type of number?

a)

Rational

b)

Irrational

3.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

4.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

5.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

6.

Which represents a rational number?

a)

√110

b)

√324

c)

√65

d)

√80

7.

Convert 0.444... to a fraction.

a)

4/10

b)

4.4/99

c)

4/9

d)

2/5

8.

The √40 is between which two consecutive whole numbers?

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

9.

Round to the Nearest Tenth: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

10.

Which of the following is a perfect square?

a)

24

b)

48

c)

81

d)

110

11.

Round to the Nearest Tenth: √119

a)

10.9

b)

10.5

c)

11.1

d)

10

12.

Which is the best estimate of the square root of 63?

a)

7.1

b)

7.3

c)

7.5

d)

7.9

13.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

14.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10⁵

15.

Express the fraction 7/9 as a decimal.

a)

0.8

b)

0.88888...

c)

0.7

d)

0.777777...

16.

Write 0.35 as a fraction in simplest form.

a)

35/100

b)

3.5/10

c)

7/20

d)

3/10

17.

If the volume of a cube is 27in³, what is the length of one side of the cube?

a)

3in

b)

9in

c)

2.7in

d)

5.2in

18.

If the area of a square is 81cm², what is the side length?

a)

9cm

b)

81cm

c)

3cm

d)

20.25cm

19.

2^{3 = ?}

a)

5

b)

8

c)

6

d)

9

20.

13² = ?

a)

169

b)

26

c)

132

d)

266

21.

3³ = ?

a)

27

b)

9

c)

6

d)

¹⁵

22.

∛8 = ?

a)

2

b)

24

c)

3.14

d)

64

23.

The volume of a cube is 1,000 cm³. What is the length of each side of the cube?

a)

1

b)

10

c)

100

d)

300

24.

Evaluate: $\sqrt{256}$

a)

$\sqrt{16}$

b)

$16^2$

c)

16

d)

128

25.

Evaluate: $\sqrt{576}$

a)

23

b)

24

c)

25

d)

26

26.

Evaluate: $17^2$

a)

289

b)

34

c)

$\sqrt{17}$

d)

256

27.

Solve for x: x² = 36

a)

x = 6

b)

x = 6 and -6

c)

x = 18 and -18

d)

x = -6

28.

Evaluate: $4\sqrt{49}$

a)

449

b)

47

c)

196

d)

28

29.

Evaluate: $\sqrt{\frac{4}{9}}$

a)

$\frac{2}{3}$

b)

$\frac{16}{81}$

c)

$\frac{4}{9}$

30.

Solve for x: $x^{2\ }=12$

a)

$x\ =\ \pm6$

b)

$x\ =\ \pm\sqrt{12}$

c)

$\pm24$

d)

$\pm144$

31.

Determine which radical is approximately 5.8

a)

$\sqrt{25}$

b)

$\sqrt{28}$

c)

$\sqrt{34}$

d)

$\sqrt{36}$

32.

Determine which number is a perfect cube.

a)

3

b)

6

c)

8

d)

9

33.

Evaluate: $-2\sqrt{64}$

a)

-28

b)

-16

c)

16

d)

28

34.

Evaluate: $\left(\frac{4}{5}\right)^2$

a)

$\frac{8}{10}$

b)

$\frac{16}{25}$

c)

$\frac{8}{25}$

d)

$\sqrt{\frac{4}{5}}$

35.

The area of a square is $49\ ft^2$ . What is the length of one side?

a)

$12.25\ feet$

b)

$7\ feet$

c)

$7^2\ feet$

d)

$\sqrt{7}\ feet$

36.

The volume of a cube is 125 cubic inches. What is the length of one edge?

a)

$25\ inches$

b)

$5^{3\ }inches$

c)

$5\ inches$

d)

$31.25\ inches$

37.

The area of a square is 36 cm². What is the perimeter of the square?

a)

9 cm

b)

18 cm

c)

6 cm

d)

24 cm

38.

Simplify, determine the equivalent expression.

5³ x 5⁴

a)

5¹²

b)

5⁷

c)

5^-1

d)

25⁷

39.

Simplify, determine an equivalent expression.

6⁷ ÷ 6⁴

a)

6¹¹

b)

6³

c)

6²⁸

d)

1³

40.

Simplify, determine an equivalent expression.

(2²)⁴

a)

2⁸

b)

2⁶

c)

2¹⁶

d)

2⁴

41.

Simplify, determine an equivalent expression.

3² x 6²

a)

18⁴

b)

18⁰

c)

18²

d)

9²

42.

Determine which expression is equal to 1.

a)

(-3)⁰

b)

(-3) x 1

c)

(-3)¹

d)

(-3)^-1

43.

Simplify, write as a positive exponent.

3^-2

a)

b)

c)

d)

44.

Determine which expression is equivalent to

a)

3⁴

b)

3^-4

c)

9²

d)

81

45.

Determine which expressions are equivalent to

7³ select all that apply.

a)

7⁶ ÷ 7³

b)

7^-2 x 7⁵

c)

(7^-1)^-3

d)

7^-3

e)

343

46.

Evaluate: 4³x 4^-5

a)

b)

c)

d)

47.

Solve: x² = 400

a)

200 and -200

b)

1600 and -1600

c)

20 and -20

d)

400 and -400

48.

Solve: x³ = 125

a)

5 and -5

b)

5

c)

42

d)

125³

49.

Which of the following real numbers would be classified as irrational?

a)

b)

c)

d)

50.

Evaluate (-4)²

a)

-16

b)

16

c)

-8

d)

8

51.

Evaluate -4²

a)

-16

b)

16

c)

-8

d)

8

52.

Evaluate (-4)³

a)

-12

b)

12

c)

-64

d)

64

53.

How would you write 0.0005 in scientific notation?

a)

5 x 10⁴

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

54.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

55.

Convert to scientific notation:
520,000,000

a)

52 x 10⁷

b)

5.2 x 10⁷

c)

5.2 x 10⁸

d)

0.52 x 10⁹

56.

Convert to standard notation:
2.4 x 10^-3

a)

2400

b)

0.24

c)

0.024

d)

0.0024

57.

Convert to standard notation:
3.05 x 10⁵

a)

305,000

b)

305

c)

3,050,000

d)

30,500

58.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

59.

Write in standard form:
8 x 10⁴

a)

8,000

b)

80,000

c)

.00008

60.

Write in standard form:
6.254 x 10⁶

a)

6,254,000

b)

6,254,000,000

c)

625,400

61.

Write in standard form:
2.12 x 10^-3

a)

.00212

b)

.000212

c)

2,120

62.

Write in scientific notation:
0.0000378

a)

3.78 x 10^-5

b)

3.78 x 10^-6

c)

0.378 x 10^-5

63.

Subtract.
(7 x 10⁴) - (4.2 x 10²)

a)

6.958 x 10⁴

b)

6.58 x 10⁴

c)

6.958 x 10²

64.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

65.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

66.

Solve: Express your answer in scientific notation.

(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

67.

Solve:
(9 x 10^-6) / (3 x 10^-3)

a)

27 x 10^-9

b)

3 x 10^-3

c)

3 x 10^-9

d)

27 x 10^-3

68.

Write the answer in scientific notation.
7.3 x 10⁵ + 3.7 x 10⁵ =

a)

11.0 x 10⁵

b)

1.1 x 10¹⁰

c)

1.10 x 10¹¹

d)

1.1 x 10 ⁶

69.

Multiply:Express your answer in scientific notation.

(4 x 10⁵)(5 x 10^-3)

a)

20 x 10²

b)

20 x 10^-8

c)

2 x 10³

d)

2 x 10

70.

Find the difference
(3.8 x 10⁴) - (2 x 10³)

a)

1.8 x 10⁴

b)

1.8 x 10¹

c)

3.6 x 10¹

d)

3.6 x 10⁴

71.

(9.6×10^-8)÷(2×10^-15)

a)

-4.8×10⁷

b)

4.8×10⁷

c)

4.8×10^-7

d)

4.8×10^-23

Topic 1 Review for Test

Total questions: 71

Worksheet time: 2hrs 51mins

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