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Graphing One-Step Inequalities - Printable Mathematics Worksheets - Wayground

Graphing One-Step Inequalities

14 questions

9th - 9th Grade

Mathematics

This Grade 9 mathematics worksheet gives students focused practice with graphing and solving one-step inequalities. Across 14 multiple-choice questions, students isolate a variable, match inequalities to number-line graphs, choose open or closed circles, identify values in an acceptable range, and connect phrases such as “at most” and “no more than” to the ≤ symbol. The worksheet also includes algebraic and real-world examples, including a maximum test score and a quantity of potatoes needed for dinner. Use this free printable worksheet to reinforce how inequality symbols, boundary points, and solution sets work together. The varied question format helps teachers check whether students can move between equations, graphs, verbal clues, and numerical examples rather than relying on one procedure. It is suitable for Grade 9 math practice, independent work, review, or a quick formative assessment, and it includes a complete answer key for efficient checking.

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Graphing One-Step Inequalities

Total questions: 14

Name
Class
Date
1.
26 < f + 32
a)
f > -6
b)
f < -6
c)
f < 6
d)
f < 55
2.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
3.
Which inequality is represented by this graph?
a)
 2.75 > d
b)
2.75 < d
c)
2.75 ≥ d
d)
2.75 ≤ d
4.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
5.
Will my dot be colored in?
5 ≥ x
a)
Yes
b)
No
6.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
7.

What are two values in the acceptable range of x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

8.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

9.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
10.
25 < X - 10
a)

X > 35

b)

X < 35

c)

X > -35

d)

X < -35

11.
A chef has 7 pounds of potatoes.  She needs more than 14 pounds for dinner.  What inequality describes the amount of potatoes the chef needs to buy?
a)
x - 7 > 14
b)
x + 7 > 14
c)
x - 7 < 14
d)
x + 7 < 14
12.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
≤
d)
≥
13.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

14.
Which inequality matches the graph?
a)

5x < 20

b)

x ≤ 4

c)

5x < -20

d)

-5x < 20

Answer Key

Graphing One-Step Inequalities

Total questions: 14

1.
a) f > -6
2.
c)  11 ≤ a
3.
b) 2.75 < d
4.
b) B
5.
a) Yes
6.
a) x ≤ 13
7.
c)

0.8, 5.9

8.
d)

p ≤ 95

9.
a) Open
10.
a)

X > 35

11.
b) x + 7 > 14
12.
c) ≤
13.
c)

x < 6

14.
a)

5x < 20

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FAQs

What does the Graphing One-Step Inequalities worksheet cover?

This Grade 9 worksheet uses 14 multiple-choice questions to practice solving one-step inequalities and interpreting their graphs. Students identify open or closed circles, match number-line graphs to inequalities, select values within a solution range, translate phrases such as “at most” into ≤, and solve inequalities such as 10 ≥ x − 3 and 8x < 48.

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

Introduce the worksheet by modeling how the inequality symbol determines the endpoint and whether the number-line circle is open or closed. Then have students solve the algebraic items, explain why their boundary point is included or excluded, and finish by discussing how verbal situations such as a maximum score or buying more potatoes translate into inequalities. Use the graph-matching questions to check whether students can connect symbolic solutions to visual representations.

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

Watch for students choosing an open circle for inclusive symbols such as ≤ or ≥, or selecting a closed circle for strict symbols such as < or >. They may also reverse the inequality when isolating the variable, confuse “at most” with ≥, or select a number outside the acceptable range for x < 8. In the graph-matching items, ask students to verify both the endpoint and the direction of the shaded solution set.

How do I assign and grade this worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can use the 14 multiple-choice items for independent practice, review, or formative assessment. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

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

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the inequality expressions, answer choices, and graph-related prompts are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language. These options create an alternate version of the same multiple-choice practice without changing the one-step inequality skills assessed.

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

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