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7th grade test review: like terms - Printable Mathematics Worksheets year 7 - Wayground

7th grade test review: like terms

30 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics test review worksheet gives students 30 multiple-choice questions on solving one-variable linear equations. It targets using inverse operations to isolate a variable, including addition, subtraction, multiplication, and division in equations with whole numbers, decimals, fractions, and negative solutions. Students also identify whether a statement is an expression or an equation, select equations that match a given solution, choose the correct algebraic step, and translate simple word situations into equations. The varied question format checks both procedural fluency and foundational reasoning. Students must connect verbal descriptions to symbols, recognize the operation needed to undo a coefficient or constant, and evaluate answer choices for equations such as 3x = 27 and 4x + 7 = 23. Designed for Grade 7 review, reteaching, independent practice, or a quick readiness check, this is a free printable worksheet with a complete answer key.

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Worksheets

7th grade test review: like terms

Total questions: 30

Name
Class
Date
1.

Four times Audrey’s age plus 7 is Parag’s age. Parag is 51. What is

Audrey’s age?

a)

7

b)

11

c)

15

d)

212

2.

Larue scored 10 points less than 3 times the number of points that Ross scored. Larue scored 11 points. How many points did Ross score?

a)

7

b)

19

c)

17

d)

23

3.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
4.
Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
5.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
6.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
7.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
8.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
9.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
10.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
11.
What is the difference between an expression and equation?
a)
Expressions have an equal sign and equations do not have an equal sign
b)
Expressions do not have an equal sign and equations do have an equal sign
c)
There is not a difference
d)
Expressions do not have variables and equations have variables
12.
a)

4.5

b)

4.2

c)

15

d)

51.84

13.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
14.
7 + a⁄3 = 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
15.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
16.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
17.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
18.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
19.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
20.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
21.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
22.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
23.
-4 + y < -8
a)
y < 4
b)
y < -12
c)
y < -4
d)
y < 12
24.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
25.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
26.

Level 2

Solve.

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

27.

Level 4

Solve and graph the inequality.

77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

28.
Which inequality is represented by the  following graph
a)
x < -8
b)
x > -8
c)
x ≥ -8
d)
x ≤ -8
29.
Solve the inequality
2 ≥ y - 12
a)
y ≤ 14
b)
y > 14
c)
y < 10
d)
y ≤ 10
30.
On Friday Fun Day, Mrs. Burns must divide her class into 4 groups with at least 6 students in each group. Write an inequality to find the number, s, of students in class.
a)
s ÷ 4 ≥ 6
b)
s ÷ 4 ≤ 6
c)
s ÷ 6 ≥ 4
d)
s ÷ 6 ≤ 4
Answer Key

7th grade test review: like terms

Total questions: 30

1.
b)

11

2.
a)

7

3.
b) v + 4 = 10
4.
b) Multiply both sides by 11.
5.
a) 16.6
6.
c) x = 10
7.
b) Multiplication
8.
c) 2x = 10
9.
c) x = 9
10.
a) Add 62 to each side. 
11.
b) Expressions do not have an equal sign and equations do have an equal sign
12.
d)

51.84

13.
b) x = 4
14.
b) a= -6
15.
b) c = 6
16.
a) Add 6 to both sides and divide both sides by 5
17.
a) <, >
18.
a) ≤, ≥ 
19.
b) B
20.
d) b ≤ –2
21.
c) x < -4
22.
b) x > 2
23.
c) y < -4
24.
b) m > -2
25.
b) x > -6
26.
c)

z≤9

27.
d)

D

28.
b) x > -8
29.
a) y ≤ 14
30.
a) s ÷ 4 ≥ 6

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FAQs

What does this Grade 7 worksheet cover, and how does it help students solve linear equations?

This 30-question multiple-choice worksheet practices solving one-variable linear equations by using inverse operations to isolate the variable. Students also translate short word situations into equations, distinguish expressions from equations, identify equations with a given solution, and select the correct step for equations involving constants, coefficients, decimals, fractions, and negative values.

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

Introduce the worksheet by modeling how an operation can be undone on both sides of an equation, then have students explain why addition undoes subtraction and multiplication undoes division. As students work through the multiple-choice items, ask them to translate the word-problem situations into equations before solving and to justify why each selected operation isolates the variable.

What mistakes should I watch for when students complete this linear-equations review?

Watch for students applying an inverse operation to only one side, choosing the wrong operation for a coefficient, or stopping after removing a constant instead of completing both steps. Students may also confuse an expression with an equation, reverse the relationship in a word situation, or overlook decimal, fraction, or negative-value calculations when evaluating the answer choices.

How do I assign and grade this linear-equations worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 30 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, while the digital quiz supports online assignment and scoring.

How can I differentiate this worksheet for students who need additional support?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the equation prompts and multiple-choice options easier to scan. You can also apply a dyslexia-friendly font or translate the worksheet into another language when that better supports students reading the algebra directions and word situations.

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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