Free Printable Multiplying Exponents day 1 plus review

1.

r²⋅ r

a)

r³

b)

r²

c)

2r³

d)

11r²

2.

7v³*10u³v⁵

a)

70u³v⁶

b)

17u³v⁸

c)

70u³v⁸

d)

none of the above

3.

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

4.

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

5.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

6.

$\left(7x^2y^8\right)\left(3xy^4\right)=$

a)

$10x^2y^{12}$

b)

$21x^3y^{32}$

c)

$21x^3y^{12}$

d)

$21x^2y^{12}$

7.

In order to multiply exponents, the _____ has to be the same.

a)

Base

b)

Exponent

c)

Product

d)

numerator

8.

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

9.

5r²⋅ 6r

a)

30r³

b)

30r²

c)

11r³

d)

11r²

10.

9x⁵y²⋅ 9xy²

a)

81x⁶y⁴

b)

81x⁵y⁶

c)

9x⁶y⁴

d)

none of the above

11.

Simplify the following expression:

2x³y⁵ ⋅ 5xy²

a)

10x⁴y⁷

b)

7x⁴y⁷

c)

10x³y¹⁰

d)

7x³y¹⁰

12.

Simplify the following expression:

5a³b⁵⋅ 3a²b²

a)

8a⁵b³

b)

15a⁵b⁷

c)

8a⁵b⁷

d)

15a⁵b³

13.

7u²v⁵ * 9uv³

a)

16u²v⁸

b)

63u³v¹⁵

c)

63uv⁸

d)

63u³v⁸

14.

uv * 4uv⁵

a)

4u²v⁶

b)

u²v⁶

c)

2u*4v

d)

4uuvvv

15.

What is equivalent to

3x^2y\cdot6xy^3

a)

$9x^3y^4$

b)

$9x^3y^3$

c)

$18x^3y^4$

d)

$18x^3y^3$

16.

What is equivalent to

5m^4n^3\cdot8m^5n^4z

a)

$40m^9n^7$

b)

$13m^8n^7z$

c)

$13m^9n^7z$

d)

$40m^9n^7z$

17.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

18.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

19.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

20.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

21.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

22.

Simplify:

√72

a)

√72

b)

2√2

c)

6√2

d)

4√18

23.

√16

a)

4

b)

8

c)

16

d)

64

24.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

25.

Add the polynomial (-3x + 4) + (8x - 5)

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

26.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

e)

None of these

27.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

e)

None of these

28.

Add the following polynomials

(x³-6x²+3)+(3x³+4x-1)

a)

4x³-2x²+2

b)

4x³-6x²+4x+2

c)

-2x³+2x+2

d)

4x³-2x²-2

e)

None of these

29.

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

30.

Add the polynomials (x-2) and (x²+3)

a)

x²+x+1

b)

x³+5

c)

x³+1

d)

x³-1

31.

Add or Subtract to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

32.

Solve for x : 3x + 2(4x - 4) = 3

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 1

33.

Solve for x : 2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

34.

$Solve:\ -\left(4-y\right)\ =y\ -5+1$

a)

No Solution

b)

Infinite Solutions

35.

$Solve:\ \ -12=2+5d+2d$

(a)

36.

Solve:

5(2x + 6) = −4(−5 −2x)+ 3x

(a)

37.

Solve: −5(4x − 2) = −2(3 +6x)

(a)

38.

Solve: -8(-8x - 6) = -6x - 22

a)

x = -1

b)

x = 2/5

c)

x = 8/7

d)

x = 2

39.

Solve: 22 + 2a = 37 + 6 + a

a)

a = 5

b)

a = 6

c)

a = -21

d)

a = 21

40.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

41.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

a)

Growth

b)

Decay

42.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

a)

Growth

b)

Decay

43.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

44.

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

45.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

Multiplying Exponents day 1 plus review

Total questions: 45

Worksheet time: 2hrs 35mins

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