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One Step Inequality Word Problems - Printable Mathematics Worksheets - Wayground

One Step Inequality Word Problems

10 questions

6th - 7th Grade

Mathematics

One Step Inequality Word Problems is a free printable Mathematics worksheet for Grades 6–7 that helps students translate real-world situations into one-step inequalities. Across 10 multiple-choice questions, students identify inequalities representing limits and targets involving costs, earnings, temperatures, heights, weights, distances, and shared expenses. They interpret phrases such as “at most,” “at least,” “more than,” and “less than,” then select the matching inequality using addition, subtraction, multiplication, or division. This worksheet is designed for guided practice, independent work, or a quick check of students’ ability to model verbal constraints symbolically before solving them. Its varied contexts require students to connect quantities and choose the correct inequality sign rather than apply a procedure without understanding the situation. The free printable worksheet includes a complete answer key for efficient review and grading.

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Worksheets

One Step Inequality Word Problems

Total questions: 10

Name
Class
Date
1.

Top Golf charges $12 for each hour. You can spend no more than $60.


Which of the following inequalities could help you solve for all the possible hours, h, that you can golf for?

a)

12x < 60

b)

12x ≤ 60

c)

12x > 60

d)

12x ≥ 60

2.

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall.


Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

a)

6 + x ≥ 35

b)

6 + x > 35

c)

6 + x < 35

d)

6 + x ≤ 35

3.

An unknown number decreased by 9 is at most 25. What is the number?

a)

x - 9  ≥\ge   25

b)

x - 9 ≤ 25

c)

x - 9 < 25

d)

x - 9 > 25

4.

You start a dog walking business. Each dog earns you $8.


Which of the following inequalities could help you find all the possible values of d, the amount of dogs you will need to walk, to have more than $32?

a)

8x >328x\ >32


b)


8x ≥328x\ \ge32

c)

8x <328x\ <32

d)

8x ≤328x\ \le32

5.

The temperature for the day starts at 37 degrees and rises to at least 60 degrees.


Which of the following inequalities could be used to find all the possible values of t, the amount the temperature could rise?

a)

37 + x > 60

b)

37 + x ≥ 60

c)

37 + x < 60

d)

37 + x ≤ 60

6.

Julie had twins that weighed less than 16 pounds together. If each twin weighed the same amount, which of the following inequalities could be used to find all the possible values of w, the amount each twin weighs?

a)

2x ≤ 16

b)

2x > 16

c)

2x ≥ 16

d)

2x < 16

7.

Your brother has $2,000 saved for a vacation. His airplane ticket is $637. Which inequality can be used to find out how much he can spend on everything else?

a)

637 + x ≤ 2000

b)

x − 637 ≤ 2000

c)

637 + x ≥ 2000

d)

x − 637 < 2000

8.

Trisha and her three sisters to decide to purchase their mom a Christmas gift. They decide that everyone will contribute an equal amount, up to $60 per person. Which inequality will help find how much money will the sisters spend on their mom for Christmas?

a)

x ÷ 4 ≤ 60

b)

4x ≤ 60

c)

x ÷ 4 ≥ 60

d)

4x ≥ 60

9.

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

a)

d − 15 > 40

b)

d − 15 < 40

c)

d + 15 ≥ 40

d)

d + 15 ≤ 40

10.
Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike? 
a)
15h ≤ 105
b)
15h > 105
c)
15h < 105
d)
15h ≥ 105
Answer Key

One Step Inequality Word Problems

Total questions: 10

1.
b)

12x ≤ 60

2.
d)

6 + x ≤ 35

3.
b)

x - 9 ≤ 25

4.
a)

8x >328x\ >32


5.
b)

37 + x ≥ 60

6.
d)

2x < 16

7.
a)

637 + x ≤ 2000

8.
a)

x ÷ 4 ≤ 60

9.
d)

d + 15 ≤ 40

10.
d) 15h ≥ 105

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FAQs

What does the One Step Inequality Word Problems worksheet cover?

This Grade 6–7 Mathematics worksheet gives students 10 multiple-choice word problems in which they select the one-step inequality that models each situation. Students translate phrases such as “at most,” “at least,” “more than,” and “less than” into inequality symbols while representing costs, earnings, temperatures, shared amounts, and other quantities.

How can I use this worksheet to teach students to write inequalities from word problems?

Before students begin, have them underline the known quantity, the unknown quantity, and the phrase that describes the limit or target in each problem. Model one context—such as a fixed cost plus an amount that cannot exceed a budget—then ask students to explain why the wording determines the inequality sign before they complete the remaining multiple-choice items.

What mistakes should I watch for when students complete these inequality word problems?

Students may confuse “at most” with “less than” and omit the equal sign, or confuse “at least” with “greater than” when choosing between symbols such as ≤ and ≥. They may also reverse the relationship when modeling fixed costs plus an unknown amount, or choose multiplication instead of division in the shared-contribution problem.

How do I assign and grade this inequality word-problem worksheet?

The worksheet is available on Wayground as a printable PDF and as a digital quiz, and it includes a complete answer key for all 10 multiple-choice questions. For printable submissions, you can scan student work with the Wayground for Teachers app to support grading and review.

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

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the 10 multiple-choice word problems easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while preserving its inequality-modeling format.

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 build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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