Free Printable Exponential Functions

1.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

2.

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

a)

Growth

b)

Decay

c)

Linear

d)

None

3.

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

a)

Growth

b)

Decay

c)

Linear

d)

None

4.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

5.

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

a)

(.27)^x

b)

.27

c)

13

d)

3.51

6.

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

a)

2

b)

4

c)

(2)^x

d)

8

7.

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

8.

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

a)

Exponential Decay

b)

Exponential Growth

9.

Which of the following is an increasing exponential function whose y-intercept is 50?

a)

y = 50(.05)^x

b)

y = 50x - 4

c)

y = (2)^x + 50

d)

y = 50(1.4)^x

10.

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

a)

Exponential Growth

b)

Exponential Decay

11.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is not one

12.

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

a)

10

b)

0.3

c)

1

d)

3

13.

Classify the function, f(x) = 6.5(0.85)^x.

a)

exponential growth

b)

exponential decay

c)

positive linear

d)

negative linear

14.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

a)

Increasing

b)

Decreasing

15.

If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?

a)

3

b)

-3

c)

1/3

d)

-1/3

16.

Which variable represents time passed in the function y=ab^x?

a)

y

b)

a

c)

b

d)

x

17.

What is the common ratio(multiplier) for the sequence:

3, 15, 75...

a)

12

b)

1/5

c)

5

18.

What is the common ratio(multiplier) for the sequence:

28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

19.

How do you write 5% as a decimal?

a)

50

b)

5

c)

0.5

d)

0.05

20.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

21.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

22.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

23.

What is 7¹?

a)

1

b)

7

c)

0

d)

14

24.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

25.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

26.

Simplify:

a)

2

b)

4

c)

16

d)

64

27.

Simplify:

a)

6

b)

12

c)

36

d)

432

28.

Simplify . Your answer should contain only positive exponents. $\frac{a^2b^0}{3a^4}$

a)

$1$

b)

$\frac{1}{3a^2}$

c)

$\frac{a^2}{3a^4}$

d)

$\frac{1}{3a^4}$

29.

Write each product using an exponent.
4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

4⁶

d)

4⁶

30.

4²* 4²

a)

16⁴

b)

4²

c)

4⁴

d)

8²

31.

2 * 2² *2²

a)

2⁴

b)

8⁴

c)

36

d)

2⁵

32.

2n⁴ * 5n⁴

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

33.

6r *5r²

a)

30r³

b)

30r²

c)

11r³

d)

11r²

34.

3u⁴v⁵ * 7u²v³

a)

21u²v²

b)

14u⁶v⁸

c)

21u⁸v¹⁵

d)

none of the above

35.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

36.

Fill in the blank with the correct exponent to make the statement true.
3^{16 =}(3⁸)(3^_)

a)

2

b)

8

c)

4

d)

1

37.

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

38.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

39.

x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

40.

x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

41.

a)

x⁴

b)

x⁸

c)

x¹²

d)

x²⁰

42.

a)

y¹⁶

b)

y³

c)

16y

d)

y⁴⁸

43.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

44.

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

45.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

46.

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

a)

x⁶

b)

6x

c)

x³

d)

6x⁶

47.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

48.

Simplify.

a)

x⁷

b)

1/x³

c)

x³

d)

1/x⁷

49.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

50.

$-12m^4n^{-3}p^{-2}$

a)

$\frac{-12n^3P^2}{m^4}$

b)

$\frac{-12}{m^4n^4p^2}$

c)

$\frac{m^4}{-12n^3p^2}$

d)

$\frac{-12m^4}{n^3p^2}$

51.

$x^9\cdot x^{-7}\cdot x^{-10}$

a)

$x^8$

b)

$\frac{1}{x^8}$

c)

$x^{26}$

d)

$\frac{1}{x^{26}}$

52.

$6g^{-3}\cdot2g^8$

a)

$\frac{12}{g^3}$

b)

$\frac{12}{g^5}$

c)

$12g^5$

d)

$12g^{11}$

53.

$\left(j^{-1}k\right)^{-3}\cdot\left(j^{-5}k^4\right)^2$

a)

$\frac{k^5}{j^7}$

b)

$\frac{j^7}{k^5}$

c)

$j^{13}k^{11}$

d)

$j^7k^5$

54.

$\frac{d^{-4}}{\left(a^{-6}b^3\right)^3}$

a)

$\frac{a^{18}b^9}{d^4}$

b)

$\frac{d^4}{a^{18}b^9}$

c)

$\frac{a^{18}}{b^9d^4}$

55.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

a)

^.08

b)

^1.08

c)

.92

d)

8

56.

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

a)

Growth

b)

Decay

57.

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

a)

Growth

b)

Decay

58.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70(2)³⁵

b)

70(2)⁵

c)

2(70)⁵

d)

5(70)²

59.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

60.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

a)

$176,783.29

b)

$424,527.63

c)

$57,357.75

d)

$532,041,076.80

61.

√45x⁴y⁷

a)

3x²y³√5

b)

9x²y³√5y

c)

3x²y³√5y

d)

3x⁴y⁷

62.

√36x³y⁴

a)

6y²x√x

b)

3y²√2x

c)

3y√x

d)

6x√3y

63.

5√48x²

a)

10x√3

b)

15x√3

c)

20x√3

d)

25x√3

64.

$\sqrt{63}$

a)

$9\sqrt{7}$

b)

$6\sqrt{2}$

c)

$7\sqrt{6}$

d)

$3\sqrt{7}$

Exponential Functions

Total questions: 64

Worksheet time: 2hrs 48mins

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