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Algebra 1 Exponential Review - Printable Mathematics Worksheets - Wayground

Algebra 1 Exponential Review

15 questions

9th - 9th Grade

Mathematics

Algebra 1 Exponential Review is a free printable Grade 9 mathematics worksheet with 15 multiple-choice questions focused on interpreting and writing exponential models. Students identify the initial value as the y-intercept, convert percent growth or decay into a multiplier, classify models as growth or decay, and select equations that represent real-world situations such as car depreciation, bacteria loss, population change, bank interest, and ticket-price increases. The worksheet also asks students to connect exponential equations with tables and graphs, find values for a given year or month, and identify an initial amount or interest rate from a function. These varied multiple-choice items help students apply exponential-function concepts in both symbolic and contextual settings rather than relying only on definitions. Designed for Algebra 1 instruction or review, the worksheet is available as a free printable worksheet and includes a complete answer key for efficient checking and feedback.

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Worksheets

Algebra 1 Exponential Review

Total questions: 15

Name
Class
Date
1.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
2.
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
3.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
4.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
5.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
6.
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=5000xx
7.

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

a)

5000

b)

9006

c)

9765

d)

5433

8.

Using the table below, find the equation that matches

a)

y = 20(2)x

b)

y = 20(1/2)x

c)

y = 2(20)x

d)

y = 20(1.25)x

9.

What is the equation for the graph of the exponential function?

a)

y = 4(2)x

b)

y = (4)x

c)

y = (2)x

d)

y = 2(4)x

10.

Write the multiplier for the following scenario.

A population is decaying at a rate of 5.1% per year.

a)

1-5.1

b)

.949

c)

1.051

d)

.051

11.
The following function represents a bank account. 
g(x) = 200(1.25)x
What was the initial dollar amount put in the bank?
a)
$200
b)
$1.25
c)
$0.25
d)
$2.00
12.

The following function represents a bank account.

g(x) = 200(1.25)x

What interest rate did the bank give?

a)

200%

b)

1.25%

c)

25%

d)

2%

13.

Great Amusements Park has been raising its ticket prices every year, as shown in the table. Write an equation that represents the ticket price for year x.

a)

y = 5x + 50

b)

y = 50(1.10)x

c)

y = 42.5(1.05)x

d)

y = 50(5)x

14.

Determine the population for year 3 of the table.

a)

8.2

b)

8.4

c)

8.64

d)

9

15.

Write an equation that presents the population for any year.

a)

y = x + 5

b)

y = 5(1)x

c)

y = 1.2x + 5

d)

y = 5(1.2)x

Answer Key

Algebra 1 Exponential Review

Total questions: 15

1.
c) Y-INTERCEPT
2.
c) .92
3.
b) y = 15(1.35)x
4.
b) Decay
5.
a) Growth
6.
a) y=5000(0.7)x
7.
c)

9765

8.
b)

y = 20(1/2)x

9.
c)

y = (2)x

10.
b)

.949

11.
a) $200
12.
c)

25%

13.
b)

y = 50(1.10)x

14.
c)

8.64

15.
d)

y = 5(1.2)x

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FAQs

What does the Algebra 1 Exponential Review worksheet help students practice?

This Grade 9 worksheet uses 15 multiple-choice questions to help students interpret and write exponential growth and decay models. Students identify initial values, calculate growth and decay multipliers, classify models, match equations to tables and graphs, and apply exponential functions to contexts such as depreciation, populations, bank accounts, and ticket prices.

How can I use this worksheet to teach exponential growth and decay models?

Introduce the worksheet by reviewing the roles of the initial value and multiplier in an equation such as y = a(b)^x. Have students explain why a 35% increase uses a multiplier of 1.35 and why a 30% decrease uses 0.70, then ask them to justify their choices in the scenario and table-based questions. Use the graph and table items for a final discussion about how the multiplier signals growth or decay.

What mistakes should I watch for when students complete this exponential functions worksheet?

Watch for students choosing the percentage itself instead of the multiplier, such as using 0.08 rather than 0.92 for an 8% depreciation rate. Students may also confuse the initial value a with the growth or decay factor, classify a model incorrectly when its multiplier is below 1, or select a linear equation for a situation represented by repeated percent change. In the application items, check that they use the stated number of months or years as the exponent.

How do I assign and grade this Algebra 1 Exponential Review worksheet?

You can assign it as a printable PDF or as a digital quiz on Wayground, and it includes a complete answer key for checking the 15 multiple-choice responses. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the PDF option can also support classrooms that are reducing screen time.

How can I differentiate this exponential functions worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the exponential equations, answer choices, tables, and graph-based prompts easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while retaining its multiple-choice format and exponential growth-and-decay content.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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