Wayground
Algebra - Equations Review - Printable Mathematics Worksheets - Wayground

Algebra - Equations Review

20 questions

9th - 9th Grade

Mathematics

Algebra - Equations Review is a free printable Grade 9 mathematics worksheet with 20 multiple-choice questions on solving linear equations in one variable. Students solve one- and multi-step equations such as 4 = 2(x + 3), equations with variables on both sides, expressions requiring the distributive property, and equations with fractional coefficients. Several questions also ask students to identify the correct first or next operation, reinforcing inverse operations and solution procedures. The worksheet gives students repeated practice simplifying expressions, isolating the variable, handling positive and negative coefficients, and selecting a solution from plausible answer choices. It is useful for guided practice, independent review, or a quick check of equation-solving fluency. A complete answer key is included, and the worksheet is available as a free printable PDF for Grade 9 classrooms.

Worksheet settings

Font size

S
M
L
XL
Worksheets

Algebra - Equations Review

Total questions: 20

Name
Class
Date
1.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
2.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
3.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
4.
Solve the following equations
4 (x + 3) = 2x + 5
a)
7/2
b)
- 7/2
c)
2
d)
7
5.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
6.
What operation would you perform first and then second when solving for m in the following equation?
10 + 7m = 17
a)
subtract 10, divide by 7
b)
divide by 7, subtract 10
c)
multiply by 7, add 10
d)
add 10, multiply by 7
7.
Solve the equation.
14 − 4(2k + 4) = -2(4 − 3k)
a)
k = -3⁄7
b)
k = 3⁄7
c)
k = 5⁄7
d)
k = 7⁄3
8.

Solve for x:

 x5=2\frac{x}{5}=2  

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

9.

Solve for x:

 8x−4(x+8)=88x-4\left(x+8\right)=8  

a)

x = 2

b)

x = 10

c)

x = 4

d)

x = -4

10.

Solve for x:


3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

no solution

d)

infinite solutions

11.

2(4x - 3) - 8 = 4 + 2x

a)

x = 1

b)

x = 3

c)

x = 5/6

d)

x = -3

12.
Solve:
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
13.

Solve for x.

 2 3x=4\frac{2\ }{3}x=4  

a)

3

b)

4

c)

5

d)

6

14.

Solve for x.

 37x−8=1\frac{3}{7}x-8=1  

a)

-16

b)

21

c)

-3

d)

9

15.
-14 + 6b + 7 - 2b = 1 + 5b
a)
no solution
b)
-8
c)
45
d)
-35
16.
3(x - 5) - x = 1
a)
x = 4
b)
x = 8
c)
x = 3
d)
x = 2
17.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
18.
Solve m - n = 5 for m.
a)
m = 5 + n
b)
m = -5 - n
c)
m = -5 + n
d)
m = 5 - n
19.
Solve for t.
D= rt
a)
D/r = t
b)
Dr = t
c)
D/t = r
d)
Dt = r
20.
What should we do first to solve for x?
y=mx+b
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
Answer Key

Algebra - Equations Review

Total questions: 20

1.
c) -1
2.
b) -6
3.
c) 15
4.
b) - 7/2
5.
b) Subtract 11 from both sides
6.
a) subtract 10, divide by 7
7.
b) k = 3⁄7
8.
c)

x = 10

9.
b)

x = 10

10.
a)

x = 4

11.
b)

x = 3

12.
c) -6
13.
d)

6

14.
b)

21

15.
b) -8
16.
b) x = 8
17.
a) F = (S + 24)/3
18.
a) m = 5 + n
19.
a) D/r = t
20.
b) Subtract

Browse by subjects

Browse by grades

Browse by format

FAQs

What does the Algebra - Equations Review worksheet cover?

This Grade 9 worksheet contains 20 multiple-choice questions that ask students to solve one-variable linear equations, including equations with parentheses, variables on both sides, negative values, and fractional coefficients. It also checks whether students can identify the correct first and second operations, helping them apply inverse operations in the right sequence rather than guess a solution.

How can I use this worksheet to teach solving linear equations?

Use the questions about the first and second operations to introduce a consistent process: simplify or undo the operation closest to the variable, then isolate the variable while performing the same operation on both sides. Model one equation with parentheses, such as 4(x + 3) = 2x + 5, then have students explain how distribution and combining like terms change the equation before completing similar multiple-choice items independently.

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

Watch for students choosing the wrong inverse operation, applying an operation to only one side, or reversing a sign when distributing a negative coefficient. In equations with variables on both sides, students may also move terms incorrectly; in fraction-based items, they may multiply or divide by the wrong coefficient. Ask students to substitute their selected answer back into the original equation to check it.

How do I assign and grade this Algebra - Equations Review worksheet?

You can assign this worksheet as a printable PDF or use it as a digital quiz on Wayground. The complete answer key supports quick grading, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives students a way to practise equation solving with reduced screen time.

How can I differentiate this linear equations worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so algebraic expressions, fractions, and answer choices are easier to track. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options will help students access the equation-solving directions and notation.

Where can I find more free 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.

© 2026 Wayground Inc.

Accessibility and Inclusion