What does the RC 5 EOC Algebra 1 Review worksheet cover?

This Grade 9 worksheet reviews exponential functions through 31 varied items, including math-response, multiple-choice, drag-and-drop, dropdown, fill-in-the-blank, and multiple-select questions. Students identify function features such as y-intercepts, ranges, and horizontal asymptotes, write models from percentage-change situations, and evaluate growth and decay applications such as investments, depreciation, land value, and population change.

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

Introduce the structure y = a(b)^t by having students identify the initial value a and convert a percentage increase or decrease into the growth factor b. Then use the worksheet’s scenario-based items to compare growth factors such as 1.05 and 1.075 with decay factors such as 0.70 and 0.50, before assigning the equation-writing, evaluation, and function-feature questions. Ask students to explain why the initial amount is not the same as the percent rate.

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

Watch for students using the percentage itself instead of the multiplier—for example, choosing 0.30 rather than 0.70 for a 30% decrease, or 0.35 rather than 1.35 for a 35% increase. Students may also reverse the initial value and rate, use the wrong number of years as the exponent, confuse a horizontal asymptote with an intercept, or round application results incorrectly, such as the car value after eight years.

How do I assign and grade this Algebra 1 review worksheet?

The RC 5 EOC Algebra 1 Review is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for all 31 items. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or use the digital version to collect responses online. The printable format also gives schools an option for reducing screen time.

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

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the exponential equations, answer choices, and multi-step word problems are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the growth-and-decay modeling tasks in the same format.

Where can I find more free worksheets like this on Wayground?

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

RC 5 EOC Algebra 1 Review - Free Printable Worksheet

Worksheets

RC 5 EOC Algebra 1 Review

Total questions: 31

Name

Class

Date

What is the y-intercept of the function

$y=23\left(4\right)^x$

What is the range of the function

$y=55\left(2.5\right)^x$

What is the horizontal asypmtote of the funtion

y=200\left(\frac{1}{2}\right)^x

$y=200$

$y=\frac{1}{2}$

$y=0$

$x=200$

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

$y\ =\ 5000\left(0.7\right)^t$

$y\ =\ 5000\left(.3\right)^t$

$y\ =\ 30\left(50\right)^t$

$y\ =\ 30\left(5000\right)^t$

Write an equation that models the following situation: Initial value of 6 and a growth factor of 14%. (a)

Choose from the below words

$y=6\left(1.14\right)^x$

$y=6\left(0.14\right)^x$

$y=6\left(1.86\right)^x$

$y=6\left(0.86\right)^x$

You buy a new computer for $2100. The computer decreases by 50% annually. Which function represents the situation?

$y\ =\ 2100\left(0.5\right)^t$

$y\ =\ 2100\left(1.5\right)^t$

$y\ =\ 50\left(1.2100\right)^t$

$y\ =\ 50\left(.2100\right)^t$

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Write an equation to represent the situation:

$f\left(x\right)\ =\ 30,000\left(1.05\right)^t$

$f\left(x\right)\ =\ 30,000\left(.95\right)^t$

$f\left(x\right)\ =\ 30,000\left(1.5\right)^t$

$f\left(x\right)\ =\ 30,000\left(5\right)^t$

You invested $400 into an account with 7.5% interest rate compounded yearly. Which equation can be used to calculate how much you will have in x years?

$f\left(x\right)\ =\ 7.5\left(1.75\right)^x$

$f\left(x\right)\ =\ 400\left(0.925\right)^x$

$f\left(x\right)\ =\ 400\left(1.075\right)^x$

$f\left(x\right)\ =\ 400\left(.75\right)^x$

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

$y\ =\ 35\left(.15\right)^t$

$y\ =\ 35\left(1.15\right)^t$

$y\ =\ 15\left(.65\right)^t$

$y\ =\ 15\left(1.35\right)^t$

10.

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation. (a)

Choose from the below words

$y=1400\left(1.09\right)^x$

$y=1.09\left(1400\right)^x$

$y=1.09^x$

$y=1400\left(0.91\right)^x$

11.

You bought a brand new car for $45,000. The car depreciates at approximately 7% per year. How much will the car be worth after 8 years? Round to the nearest whole dollar. (a)

Choose from the below words

$77,318

$25,181

$41,850

The value won't change at all.

12.

You buy a new computer for $2100. The computer decreases by 50% annually. When will the computer have a value of $600? (a)

Choose from the below words

between 1 and two years

more than 5 years

less than a year

between 3 and 4 years

13.

The population of Winnemucca, Nevada, can be modeled by $P=6191\left(1.04\right)^t$ where t is the number of years since 1990. What percent did the population increase each year? (a)

Choose from the below words

It doesn't say

I don't know

400%

14.

The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles? (a)

Choose from the below words

29 to 30 days

23 to 24 days

15 to 16 days

19 to 20 days

15.

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

$361,223

$310,500

$344,000

$280,500

16.

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours?

51 mg

284 mg

1843 mg

116 mg

17.

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? (a)

Choose from the below words

19 to 20 hours

10 to 20 hours

15 to 16 hours

5 to 6 hours

18.

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%. What is the population after 3 years?

1,069 people

894 people

816 people

854 people

19.

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

$11625

$6994.77

$21,477

$875

20.

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?

9765

9006

5433

9766

21.

You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by approximately 4% per year. What was the value of the land in the year 2000? Round to the nearest whole dollar.

$750,000

$605,035,808

$81,084

$7,346

22.

What is the value of b for the function

$y=23\left(4\right)^x$

23.

What is the domain of the function

$y=55\left(2.5\right)^x$

y>55

y>2.5

y>0

y<0

all real numbers

24.

Which of the following is an exponential function?

y = x²

f(x) = 3x³

y = x³

f(x) = 3^x

25.

What is the initial value in y=4(2)^x

26.

What is the y-intercept in y=4(2)^x

(4,0)

(0,2)

(0,4)

(4,2)

27.

What is the starting amount in the problem below?

f(t) = 300(1.05)^t

300

1.05

28.

What is the growth rate in the problem below?

f(t) = 300(1.05)^t

300

1.05

29.

If the function is DECAYING at a rate of 4.1%, the b value is (a) .

30.

If the functions is growing at a rate of 2.7%, the b value is (a) .

31.

Select the functions that are exponential growth.

$y=-2\left(3\right)^x$

$f\left(x\right)=3\left(1.09\right)^x$

$f\left(x\right)=4\left(\frac{1}{3}\right)^x$

$y=0.5\left(\frac{3}{2}\right)^x$

Answer Key

RC 5 EOC Algebra 1 Review

Total questions: 31

$23$

$y>0$

$y=0$

$y\ =\ 5000\left(0.7\right)^t$

$y=6\left(1.14\right)^x$

$y\ =\ 2100\left(0.5\right)^t$

$f\left(x\right)\ =\ 30,000\left(1.05\right)^t$

$f\left(x\right)\ =\ 400\left(1.075\right)^x$

$y\ =\ 15\left(1.35\right)^t$

10.

$y=1400\left(1.09\right)^x$

11.

$25,181

12.

between 1 and two years

13.

14.

29 to 30 days

15.

$361,223

16.

a) 51 mg

17.

19 to 20 hours

18.

c) 816 people

19.

b) $6994.77

20.

9766

21.

$81,084

22.

$4$

23.

all real numbers

24.

f(x) = 3^x

25.

26.

(0,4)

27.

300

28.

1.05

29.

.959, 0.959

30.

1.027

31.

$y=0.5\left(\frac{3}{2}\right)^x$

, a)

$y=-2\left(3\right)^x$

, b)

$f\left(x\right)=3\left(1.09\right)^x$

140 %

RC 5 EOC Algebra 1 Review

RC 5 EOC Algebra 1 Review

Total questions: 31

RC 5 EOC Algebra 1 Review

Total questions: 31

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