Free Printable Linear vs Exponential Practice Test

1.

A(n) _________________ function will ADD the same number each time.

a)

Linear

b)

Exponential

c)

Neither

2.

A(n) _________________ function will MULTIPLY the same number each time.

a)

Linear

b)

Exponential

c)

Neither

3.

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. Is this exponential growth or decay?

a)

Growth

b)

Decay

c)

Neither

4.

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. Which function matches the situation?

a)

f(t)=1000-0.14t

b)

f(t)=1000(.14)^t

c)

f(t)=1000(.86)^t

d)

f(t)=1000-0.86t

5.

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. How much will the iPhone X be worth 3 years after it's release?

a)

$1481.54

b)

$636.06

c)

$2.74

d)

$958

6.

The population of Cary, NC in the year 2000 was 97,400 people. The population steadily grew by 2.5% each year. Is this exponential growth or decay?

a)

Growth

b)

Decay

c)

Neither

7.

The population of Cary, NC in the year 2000 was 97,400 people. The population steadily grew by 2.5% each year. Which function relates to the situation?

a)

f(t)=97400+2.5t

b)

f(t)=97400(2.5)^t

c)

f(t)=97400(1.25)^t

d)

f(t)=97400(1.025)^t

8.

The population of Cary, NC in the year 2000 was 97,400 people. The population steadily grew by 2.5% each year. About how many people lived in Cary, NC in the year 2007?

a)

115,778 people

b)

81,581 people

c)

97,417 people

d)

59,448,242 people

9.

A new gym opens in the area. When it opens, there are only 20 members. Each year, the gym gains 100 more members. What type of function is this?

a)

Linear

b)

Exponential

10.

A new gym opens in the area. When it opens, there are only 20 members. Each year, the gym gains 100 more members.

Write an equation to represent this situation.

a)

$f\left(t\right)=100t+20$

b)

$f\left(t\right)=20\left(100\right)^t$

c)

$f\left(t\right)=100\left(20\right)^t$

d)

$f\left(t\right)=20x+100$

11.

A dish begins with 35 bacteria. The number of bacteria in the dish doubles each hour.

What type of function is this?

a)

Linear

b)

Exponential

12.

A dish begins with 35 bacteria. The number of bacteria in the dish doubles each hour.

Write an equation to represent this situation.

a)

$f\left(x\right)=2x+35$

b)

$f\left(x\right)=35\left(2\right)^x$

c)

$f\left(x\right)=2\left(35\right)^x$

d)

$f\left(x\right)=-2x+35$

13.

Is the table linear or exponential?

a)

Linear

b)

Exponential

14.

What is the equation of the pattern shown?

a)

$f\left(x\right)=3^x$

b)

$f\left(x\right)=\left(\frac{1}{3}\right)^x$

c)

$f\left(x\right)=9\left(\frac{1}{3}\right)^x$

d)

$f\left(x\right)=\frac{1}{3}x+1$

15.

Is the table linear or exponential?

a)

Linear

b)

Exponential

16.

What is the equation given the table?

a)

y=5x+10

b)

y=-5x+10

c)

y=5x+20

d)

y=-5x+20

17.

Is the graph linear or exponential?

a)

Linear

b)

Exponential

18.

Write the equation of the graph.

a)

$f\left(x\right)=2x-2$

b)

$f\left(x\right)=-2x-1$

c)

$f\left(x\right)=2x$

d)

$f\left(x\right)=-2x-2$

19.

Is the graph linear or exponential?

a)

Linear

b)

Exponential

20.

Write an equation for the graph.

a)

$f\left(x\right)=\left(\frac{1}{3}\right)^x$

b)

$f\left(x\right)=2\left(3\right)^x$

c)

$f\left(x\right)=2\left(\frac{1}{3}\right)^x$

d)

$f\left(x\right)=\left(3\right)^x$

Linear vs Exponential Practice Test

Total questions: 20

Worksheet time: 20mins

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