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Solving One Step Inequalities - Printable Mathematics Worksheets - Wayground

Solving One Step Inequalities

10 questions

6th - 6th Grade

Mathematics

Solving One Step Inequalities is a free Grade 6 mathematics worksheet that helps students solve and interpret one-step inequalities. Across 10 multiple-choice questions, students isolate a variable using addition, subtraction, multiplication, or division; match a graph to an inequality; test whether a value makes an inequality true; and identify inequalities represented by everyday statements such as “at least” and “no more than.” The worksheet also reinforces the meaning of inequality symbols and when to reverse the symbol when multiplying or dividing by a negative number. Its varied items give teachers a quick way to check procedural fluency, graph and symbol interpretation, substitution, and translation from words to algebraic notation. This free printable worksheet includes a complete answer key for independent practice, review, classwork, or assessment preparation.

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Worksheets

Solving One Step Inequalities

Total questions: 10

Name
Class
Date
1.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
2.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
3.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
4.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
5.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
6.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
7.
Solve
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
8.

Level 1

Write an inequality for the statement:

You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

9.

Level 1

When do we switch the inequality symbol?

a)

when multiplying or dividing by a NEGATIVE

b)

when adding and subtracting a NEGATIVE

c)

we never switch the inequality

d)

When there is a negative in the problem

10.
What is the correct inequality for the following sentence?

Swim practice will be no more than 35 laps. 
a)
p ≤ 35
b)
p = 35
c)
p > 35 
d)
p< 35
Answer Key

Solving One Step Inequalities

Total questions: 10

1.
b) x > 2
2.
c) r ≥ 31
3.
c) x < 6
4.
c)  11 ≤ a
5.
b) B
6.
a) True
7.
c) z≤9
8.
d)

h ≥ 48

9.
a)

when multiplying or dividing by a NEGATIVE

10.
a) p ≤ 35

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FAQs

What does the Solving One Step Inequalities worksheet cover?

This Grade 6 worksheet develops one-step inequality skills through 10 multiple-choice questions. Students solve inequalities such as x + 5 > 7 and 8x < 48, match a graph to an inequality, test a value in an inequality, translate phrases such as “at least” and “no more than,” and identify when the inequality symbol must be switched.

How can I use this worksheet to teach one-step inequalities?

Introduce the worksheet by modeling how to isolate the variable and preserve the inequality relationship, then discuss how phrases such as “at least” map to ≥ and “no more than” maps to ≤. Have students explain their reasoning for the graph-matching and true-or-not-true items before completing the remaining multiple-choice questions independently.

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

Students may add or subtract the constant incorrectly, choose the wrong direction for a symbol, or confuse strict symbols such as > and < with inclusive symbols such as ≥ and ≤. Watch especially for errors in the graph-matching item, the verbal statements using “at least” and “no more than,” and the rule that the symbol switches only when multiplying or dividing by a negative number.

How do I assign and grade this one-step inequalities worksheet?

You can assign Solving One Step Inequalities as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this one-step inequalities worksheet for my students?

Use the worksheet’s Advanced Settings to increase font size or spacing so the multiple-choice options and inequality symbols are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language, which may support students working with the verbal inequality items.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad 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.

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