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Algebra I Unit 4 Review - Printable Mathematics Worksheets - Wayground

Algebra I Unit 4 Review

24 questions

8th - 8th Grade

Mathematics

Algebra I Unit 4 Review is a Grade 8 mathematics worksheet that checks students’ understanding of exponential expressions and exponential functions. Across 24 questions—6 fill-in-the-blank items and 18 multiple-choice questions—students evaluate expressions using exponents and PEMDAS, including expressions with negative exponents and answers that may need to be written as reduced fractions. They also classify exponential growth and decay and identify an equation that represents growth. The review gives students practice applying exponent rules, including power of a power, quotient and product rules, zero exponents, and simplifying monomial products and quotients. It is useful for independent review, homework, or a unit assessment check before students move to more complex algebraic expressions. This free printable worksheet includes a complete answer key for efficient checking and feedback.

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Algebra I Unit 4 Review

Total questions: 24

Name
Class
Date
1.

Evaluate each of the following. If necessary, type answers as reduced fractions (no decimals). 


5⋅235\cdot2^3  
HINT: PEMDAS



(a)  

2.

Evaluate each of the following. If necessary, type answers as reduced fractions (no decimals). 


2−32^{-3}  
HINT: 1st make the exponent 'happy'



(a)  

3.

Evaluate each of the following. If necessary, type answers as reduced fractions (no decimals). 


5⋅2−35\cdot2^{-3}

HINT: 1st make the exponent 'happy', then use PEMDAS



(a)  

4.

−2⋅53-2\cdot5^3  


NOTE: The -2 has an exponent of +1, so it's 'happy'



(a)  

5.

(14)2\left(\frac{1}{4}\right)^2  




(a)  

6.

(14)−2\left(\frac{1}{4}\right)^{-2}  


HINT: There is more than 1 way to approach this, but I'd distribute the negative exponent 1st, then make everything 'happy'



(a)  

7.
Is this exponential growth or decay?
a)
Growth
b)
Decay
8.
Is this exponential growth or decay?
a)
Growth
b)
Decay
9.
Pick the equation that is exponential growth
a)
y=2(0.5)x
b)
y = 0.5(2)x
10.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
11.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
12.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
13.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
14.
Simplify: 
(9n4)(6n7)
a)
54n11
b)
15n11
c)
15n28
d)
54n28
15.
Simplify: 
6x5y2 / 2x4y2
a)
3xy
b)
4x
c)
3x
d)
4xy
16.

Simplify the exponential expression.

a)

27m18

b)

27m3

c)

3m3

d)

3m-18

17.

Simplify the exponential expression.

a)

14x2y3

b)

48xy

c)

48x3y7

d)

48x2y12

18.

Simplify the exponential expression.

a)

35x4y7

b)

35x10y10

c)

13x4y7

d)

13x-10y-3

19.

Simplify the exponential expression.

a)

4x6

b)

2x6

c)

4x5

d)

2x5

20.

Evaluate the function for the given value:

h(t) = 3 • 4t for h(-3)

a)

364\frac{3}{64}

b)

192

c)

-36

d)

−364-\frac{3}{64}

21.

Evaluate the function for the given value:

f(x)=3xf\left(x\right)=3^x  for f(3)

a)

27

b)

9

c)

6

d)

12

22.

Evaluate the function for the given value:

y=(14)xy=\left(\frac{1}{4}\right)^x  for x = 4

a)

1256\frac{1}{256}  

b)

256

c)

116\frac{1}{16}  

d)

16

23.

Linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

24.

Linear, exponential, or neither?

a)

Linear

b)

Exponential

c)

Neither

Answer Key

Algebra I Unit 4 Review

Total questions: 24

1.
40
2.
1/8
3.
5/8
4.
-250
5.
1/16
6.
16
7.
a) Growth
8.
b) Decay
9.
b) y = 0.5(2)x
10.
a) 2¹⁶
11.
a) 8⁵
12.
b) 1
13.
a) n¹¹
14.
a) 54n11
15.
c) 3x
16.
c)

3m3

17.
c)

48x3y7

18.
a)

35x4y7

19.
a)

4x6

20.
a)

364\frac{3}{64}

21.
a)

27

22.
a)

1256\frac{1}{256}  

23.
a)

Linear

24.
b)

Exponential

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FAQs

What does the Algebra I Unit 4 Review worksheet cover?

This Grade 8 worksheet covers evaluating exponential expressions with PEMDAS, positive and negative exponents, and reduced-fraction answers, along with identifying exponential growth and decay. Its 6 fill-in-the-blank items require students to calculate expressions, while 18 multiple-choice questions assess exponent laws such as power of a power, product and quotient rules, zero exponents, and simplifying monomial products and quotients.

How can I use this worksheet to teach exponent rules and exponential growth?

Introduce the fill-in-the-blank evaluation items first, modeling how to handle exponents before applying PEMDAS and how to manage negative signs. Then use the multiple-choice items to have students explain why exponents are added when multiplying like bases, subtracted when dividing, and multiplied in a power of a power. Finish with the growth-and-decay questions by asking students to connect the base or multiplier to the behavior of the function.

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

Watch for students applying PEMDAS before simplifying an exponent, mishandling a negative sign, or treating a negative exponent as a negative value instead of using its reciprocal. In the multiple-choice items, students may add exponents in a quotient, fail to recognize that a nonzero expression raised to the zero power equals 1, or combine coefficients and variables incorrectly when simplifying monomials. They may also confuse exponential growth and decay when interpreting the multiplier.

How do I assign and grade the Algebra I Unit 4 Review worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for all 24 items. For printable submissions, you can scan student work with the Wayground for Teachers app to streamline grading. The PDF option also supports schools that want to reduce screen time while keeping practice available.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the exponent notation, fill-in-the-blank prompts, and multiple-choice expressions are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when appropriate. These options help students access the same exponent evaluation and simplification practice without changing the mathematical content.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across all subjects, including 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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