Wayground
Multiplying Monimials - Printable Math Worksheets 7th Grade - Wayground

Multiplying Monimials

Jennifer Humberson

Created by Jennifer Humberson

20 questions

7th Grade

Math

Updated Oct 2026

Multiplying Monimials is a Grade 7 mathematics worksheet that helps students simplify products of monomials by multiplying numerical coefficients and adding exponents for like variables. The 20 problems include 17 multiple-choice questions and 3 math-response items, with examples involving single-variable expressions such as b² · b⁴, signed coefficients such as (-4r⁵)(2r⁸), and products with more than one variable such as (x³y²)(xy⁴). Students also apply the zero-exponent rule and recognize that any expression multiplied by zero equals zero. This free printable worksheet with an answer key gives students practice moving between procedural calculation and rule-based reasoning. Multiple-choice items help teachers quickly check whether students can identify the correct coefficient, variable factors, and combined exponent, while the math-response questions require students to produce simplified products independently. It is suitable for Grade 7 instruction, guided practice, independent work, or a focused check of understanding after introducing multiplication rules for monomials.

Worksheet settings

Font size

S
M
L
XL
WaygroundWorksheets

Multiplying Monimials

Total questions: 20

Name
Class
Date
1.
Simplify:
b2 ⋅ b4
a)
b8
b)
b6
c)
b2
d)
2b6
2.

n2⋅n⋅n5n^2\cdot n\cdot n^5

a)

n11n^{11}

b)

n8n^8

c)

3n73n^7

d)

n7n^7

3.

Simplify: (x3)(x2)

4.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
5.

 (5x3 )(2x2)

6.

Simplify: (x3y2)(xy4)

a)

x3y8

b)

x4y6

c)

x3y6

d)

x4y8

7.

(−2x3y2)(5xy4)\left(-2x^3y^2\right)\left(5xy^4\right)  

a)

3x3y83x^3y^8  

b)

3x4y63x^4y^6  

c)

−10x3y8-10x^3y^8  

d)

−10x4y6-10x^4y^6  

8.

Simplify:

6x2y ⋅ −2y⋅  13x36x^2y\ \cdot\ -2y\cdot\ \ \frac{1}{3}x^3

9.

Simplify: (−2)3 ⋅ (−2)6\left(-2\right)^3\ \cdot\ \left(-2\right)^6  

a)

(−2)9\left(-2\right)^9  

b)

(−2)18\left(-2\right)^{18}  

c)

(−4)18\left(-4\right)^{18}  

d)

(4)9\left(4\right)^9  

10.

6x7×4x26x^7\times4x^2  

a)
10x9
b)
24x14
c)
24x9
d)
10x14
11.

(−7y3)(5y2)\left(-7y^3\right)\left(5y^2\right)  

a)
-35y6
b)
-35y5
c)
-2y6
d)
-2y5
12.

(−x5)(y3)\left(-x^5\right)\left(y^3\right)  

a)
-x8y
b)
-xy8
c)
-x5y3
d)
-(xy)8
13.

(−4a)(3abc)\left(-4a\right)\left(3abc\right)  

a)
-12abc
b)
-12bc
c)
-4a2bc
d)
-12a2bc
14.

What is the result of multiplying 3x2 by 4x3?

a)

12x5

b)

14x5

c)

10x6

d)

7x5

15.

(3a)0

a)

0

b)

1

c)

3

d)

3a

16.

(-2x3)(0)?

a)

-2x3

b)

0

c)

1

d)

undefined

17.

According to exponent rules, when we multiply the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

18.

Simplify: m9⋅mm^9\cdot m  

a)

m9m^9   

b)

m8m^8  

c)

m10m^{10}  

d)

2m102m^{10}  

19.

Simplify: x⋅x⋅x3x\cdot x\cdot x^3  

a)

x5x^5  

b)

x4x^4  

c)

x3x^3  

d)

3x53x^5  

20.

Simplify: (3xyz)(4xyz)\left(3xyz\right)\left(4xyz\right)  

a)

12xyz12xyz  

b)

7xyz7xyz  

c)

12x2y2z212x^2y^2z^2  

d)

7x2y2z27x^2y^2z^2  

WaygroundAnswer Key

Multiplying Monimials

Total questions: 20

1.
b) b6
2.
b)

n8n^8

3.

x5x^5

4.
a) -8r13
5.

10x510x^5

6.
b)

x4y6

7.
d)

−10x4y6-10x^4y^6  

8.

−4x5y2-4x^5y^2

9.
a)

(−2)9\left(-2\right)^9  

10.
c) 24x9
11.
b) -35y5
12.
c) -x5y3
13.
d) -12a2bc
14.
a)

12x5

15.
b)

1

16.
b)

0

17.
a)

add

18.
c)

m10m^{10}  

19.
a)

x5x^5  

20.
c)

12x2y2z212x^2y^2z^2  

Browse by subjects

Browse by grades

Browse by format

FAQs

What does this multiplying monomials worksheet cover?

This Grade 7 worksheet covers simplifying products of monomials by multiplying coefficients and adding exponents for like variables. Its 20 items—17 multiple choice and 3 math response—include signed coefficients, products with multiple variables, the zero-exponent rule, and multiplication by zero, so students practice both selecting and generating simplified expressions.

How can I use this worksheet to teach students to multiply monomials?

First model one product by multiplying the numerical coefficients and combining powers of the same variable, such as b² · b⁴ = b⁶. Then have students explain why the exponent is added rather than multiplied before completing the multiple-choice items and solving the three math-response problems independently. Use the zero-exponent and zero-product questions as quick discussion checks for rules that students often treat as exceptions.

What mistakes should I watch for on this monomial multiplication worksheet?

Watch for students multiplying or subtracting exponents instead of adding them, or combining coefficients incorrectly—for example, choosing -2r¹³ instead of -8r¹³ for (-4r⁵)(2r⁸). Students may also write a nonzero value for (3a)⁰ or overlook that (-2x³)(0) equals 0. In multivariable items, check that each variable keeps its own combined exponent, such as x⁴y⁶.

How do I assign and grade this multiplying monomials worksheet?

Wayground provides this worksheet as both a printable PDF and a digital quiz, and it includes a complete answer key for the 17 multiple-choice and 3 math-response items. For printable submissions, you can scan student work with the Wayground for Teachers app to support grading. The printable format also gives schools an option for reducing screen time.

How can I differentiate this monomial multiplication worksheet for my students?

Use the worksheet’s Advanced Settings to create an alternate version with medium or wide font spacing, or increase the font size to make the exponent notation easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language. These options can make the coefficient-and-exponent expressions and the math-response items more accessible without changing the practice target.

Where can I find more 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 help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

© 2026 Wayground Inc.

Accessibility and Inclusion