Free Printable Unit 6 Review

1.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

2.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

3.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

4.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

5.

a)

b)

c)

d)

6.

a)

b)

c)

d)

7.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

8.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

9.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

10.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

11.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

12.

(2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

13.

Simplify

(2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

14.

n⋅n⁴⋅n⁵

a)

n¹⁰

b)

n⁴⁰

c)

n¹³

d)

n²²

15.

a)

25⁶⁰

b)

25¹⁷

c)

5⁶⁰

d)

5¹⁷

16.

$\frac{5^{-9}}{5^{-6}}$ Simplifiies to:

a)

$\frac{1}{5^3}$

b)

$5^3$

c)

$5^{-15}$

d)

$5^{54}$

17.

The length of a rectangle is 4a⁴b⁵ and the width is 3a²b³, what is the expression that represents the area of the rectangle?Area = length ⋅ width

a)

12a⁶b⁸

b)

7a⁶b⁸

c)

12a⁸b¹⁵

d)

12a²b²

18.

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

a)

When he multiplies exponents, he is supposed to add the base and the exponent

b)

When he multiplies exponents, he is supposed to multiply the base and keep the exponents

c)

When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

d)

None of the above

19.

What is the area of this rectangle?

a)

$18m^2$

b)

$9m^2$

c)

$20m^2$

d)

$40m^2$

20.

What is the area of this square?

a)

$16m^2$

b)

$4m$

c)

There's only one side given??

d)

$8m^2$

21.

Is a square has a width of $\frac{4}{5}\ m$ , what is the area of the square?

a)

$\frac{4}{5}m^2$

b)

$\frac{16}{25}m^2$

c)

$\frac{16}{20}m^2$

d)

$\frac{12}{25}m^2$

22.

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

23.

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

24.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

25.

7.82 x 10^-⁶ is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

26.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

27.

Level 2

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

28.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

29.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

30.

$\frac{1.05\times10^{12}}{5\times10^4}$

a)

$0.21\times10^3$

b)

$2.1\times10^7$

c)

$0.21\times10^8$

d)

$2.1\times10^9$

31.

$\frac{4\times10^5}{8\times10^{10}}$

a)

$0.5\times10^{-6}$

b)

$5\times10^{-5}$

c)

$5\times10^{-6}$

d)

$50\times10^6$

32.

$\frac{8\times10^4}{2\times10^{-3}}$

a)

$4\times10^{-1}$

b)

$6\times10^7$

c)

$4\times10^1$

d)

$4\times10^7$

33.

(1.08 × 10^-3)(9.3 × 10^-3)

a)

1.004 × 10^-6

b)

1.004 × 10^-5

c)

1.004 × 10^-7

d)

10.38 × 10^-5

34.

(2 × 10^-4)(8.1 × 10^-1)

a)

10.1 × 10^-5

b)

1.62 × 10⁴

c)

1.62 × 10^-5

d)

1.62 × 10^-4

35.

a²-b²Evaluate if a=4 and b =-2

a)

4

b)

20

c)

-4

d)

12

36.

Evaluate m² if m = 7

a)

9

b)

14

c)

49

d)

51

37.

Evaluate the expression when x = 3.
2x² - 5

a)

31

b)

12

c)

7

d)

13

38.

What is the value of $5x^{-3}y^2$ if x = 2 and y = -2

a)

\frac{20}{8}

b)

$160$

c)

-160

d)

$-\frac{20}{8}$

Unit 6 Review

Total questions: 38

Worksheet time: 1hrs 16mins

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