Free Printable FINAL UNIT 1 REVIEW

1.

What decimal is equivalent to 1/10?

a)

0.1

b)

10.1

c)

1.10

d)

10

2.

How would the fraction 4/10 be written as a decimal?

a)

4.10

b)

.4

c)

.04

d)

40

3.

√ 9

(a)

4.

How would the decimal .3 be written as a fraction?

a)

3/10

b)

3/100

c)

1/3

d)

3/5

5.

How would the fraction 25/100 be written as a decimal?

a)

.25

b)

2.5

c)

25.0

d)

.025

6.

Simplify the expression:

(3x^-2y³)²

a)

9x^-4y⁶

b)

9x⁴y⁶

c)

6x^-4y⁶

d)

6x⁴y⁶

7.

Which of the following is equivalent to 5/100?

a)

.5

b)

5

c)

.05

d)

.005

8.

Convert to a decimal: 20/100

a)

.02

b)

.1

c)

.2

d)

2.0

9.

How would the decimal .08 be written as a fraction?

a)

8/10

b)

8/100

c)

1/8

d)

8/8

10.

Convert the decimal to its fraction in simplest form.

0.26

a)

13/100

b)

26/100

c)

13/50

d)

2/10

11.

Convert the decimal to its fraction in simplest form.

1.09

a)

1 $\frac{9}{10}$

b)

9/100

c)

1 $\frac{9}{100}$

d)

1 $\frac{3}{50}$

12.

Convert the decimal to its fraction in simplest form.

0.648

a)

162/250

b)

81/125

c)

648/1000

d)

648/100

13.

Convert the decimal to its fraction in simplest form.

6.175

a)

6 $\frac{7}{40}$

b)

6 $\frac{175}{1000}$

c)

7/40

d)

6 $\frac{7}{20}$

14.

Convert the decimal to its fraction in simplest form.

1.008

a)

1 $\frac{4}{5}$

b)

1 $\frac{1}{125}$

c)

1 $\frac{8}{100}$

d)

1 $\frac{4}{50}$

15.

√ 100

(a)

16.

Long Division Review:

713/8

a)

808

b)

89

c)

88 r. 1

d)

89 r. 1

17.

Subtract the within the scientific notation.
(2 x 10³) - (1.9 x 10²)

a)

1.81 x 10⁵

b)

1.81 x 10³

c)

1.81 x 10⁶

d)

1.81 x 10⁴

18.

Long Division Review:

2,156 ÷ 44

a)

50

b)

49

c)

49 R14

d)

50 R 3

19.

Long Division Review:

4,458 ÷ 54

a)

82 R30

b)

82 R50

c)

82

d)

82 R13

20.

Subtract using scientific notation.
(2 x 10³) - (1.9 x 10²)

a)

1.81 x 10⁵

b)

1.81 x 10³

c)

1.81 x 10⁶

d)

1.81 x 10⁴

21.

Simplify

x⁻⁶

a)

$\frac{1}{x^6}$

b)

x⁶

c)

-x⁶

d)

$\frac{-1}{x^6}$

22.

(7.2 x 10⁶)-(3.4x 10⁶)

a)

3.8x10⁶

b)

7.7x10⁶

c)

3.7x 10⁶

d)

3.9x10⁶

23.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

24.

Estimate the square root.

a)

9

b)

10

c)

11

d)

12

25.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

26.

What do you do to your exponents when you are multiplying in scientific notation?

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

27.

Multiply:

(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.6 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

28.

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

29.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

30.

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

31.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

32.

Level 3: Estimate the square root.

a)

Between 3 and 4 and closer to 3

b)

Between 2 and 3 and closer to 3

c)

Between 3 and 4 and closer to 4

d)

Between 2 and 3 and closer to 2

33.

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

34.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

35.

√ 49

(a)

36.

√ 144

(a)

37.

(2.8 x 10⁸)+(5.4 x 10⁹)

a)

5.68 x 10⁹

b)

5.69 x 10⁹

c)

5.67 x 10⁹

d)

5.70 x 10⁹

38.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

39.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10⁴

d)

5 x 10³

40.

Solve 3^-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

41.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

42.

How do you write
1001
in scientific notation?

a)

1.0001 x 10⁴

b)

1.01 x 10⁵

c)

1.001 x 10³

d)

10.1 x 10³

43.

Which of the following in the LARGEST number?

a)

9 x 10⁶

b)

8 x 10¹⁰

c)

1.3 x 10¹²

d)

5.3 x 10³

44.

Express the following in standard notation:

8.025 x 10^-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

45.

Which one of these is in scientific notation?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

46.

Write 9.8 x 10^-5in standard form

a)

0.00098

b)

0.000098

c)

.098

d)

98,000

47.

Which of the following numbers is the SMALLEST?

a)

8.7 x 10³

b)

3 x 10⁴

c)

1.3 x 10⁸

d)

9 x 10²

48.

Solve 5^-2

a)

-10

b)

1/25

c)

1/(5)²

d)

-1/10

49.

Write 0.000972 in scientific notation.

a)

9.72 x 10^-4

b)

9.72 x 10^-3

c)

972 x 10^-4

d)

9.72 x 10⁴

50.

3⁻⁴

a)

1 ⁄ 81

b)

-81

c)

81

d)

1 ⁄ 12

51.

Solve (-8)^-2

a)

1/(-8)²

b)

1/8²

c)

1/64

d)

-64

52.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-⁵

d)

7b³ /a⁵

53.

Simplify

a)

42x⁵

b)

-42/x⁵

c)

42/x^-⁵

d)

42/x⁵

54.

Rewrite using a positive exponent.
2w^-13

a)

-w¹³

b)

2/_w¹³

c)

2/_w^-13

d)

2w¹³

55.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

56.

Simplify
x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

57.

Simplify

x⁻⁶

a)

$\frac{1}{x^6}$

b)

x⁶

c)

-x⁶

d)

$\frac{-1}{x^6}$

58.

Rewrite using a positive exponent.

g^-7

a)

$\frac{1}{g^7}$

b)

$g^7$

c)

$\frac{1}{g^{-7}}$

59.

Rewrite using a positive exponent.

2w^-13

a)

-w¹³

b)

$\frac{2}{w^{13}}$

c)

$\frac{2}{w^{-13}}$

d)

$2w^{13}$

60.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

61.

Write with positive exponents:

a)

a^-2

b)

a²

c)

$\frac{1}{a^2}$

62.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

63.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

64.

Solve (-8)^-2

a)

1/(-8)²

b)

1/8²

c)

1/64

d)

-64

65.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-⁵

d)

7b³ /a⁵

66.

Rewrite using a positive exponent.
2w^-13

a)

-w¹³

b)

2/_w¹³

c)

2/_w^-13

d)

2w¹³

67.

Simplify
x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

68.

Rewrite using a positive exponent.

2w^-13

a)

-w¹³

b)

$\frac{2}{w^{13}}$

c)

$\frac{2}{w^{-13}}$

d)

$2w^{13}$

69.

Rewrite using a positive exponent.
(-5)^-4

a)

(-5)⁴

b)

¹/_(-5)^-4

c)

¹/_(-5)⁴

d)

-625

70.

What is the product of $2 \times 10^3$ and $3 \times 10^4$ ?

a)

$6 \times 10^7$

b)

$6 \times 10^12$

c)

$6 \times 10^8$

d)

$6 \times 10^5$

71.

What is the value of 2^-3?

a)

1/8

b)

8

c)

-8

d)

-1/8

72.

Express 4.5 x 10^-2 in standard notation.

a)

0.045

b)

0.45

c)

4.5

d)

45

73.

Convert the following to scientific notation:

0.00056

a)

5.6 x 10^-4

b)

5.6 x 10^-3

c)

5.6 x 10^-5

d)

5.6 x 10^-6

74.

What is the value of 5^-3?

a)

1/125

b)

1/25

c)

1/15

d)

1/5

FINAL UNIT 1 REVIEW

Total questions: 74

Worksheet time: 5hrs 36mins

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