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One and Two Step Inequalities - Printable Mathematics Worksheets - Wayground

One and Two Step Inequalities

13 questions

9th - 9th Grade

Mathematics

One and Two Step Inequalities is a Grade 9 mathematics worksheet with 13 multiple-choice questions focused mainly on solving one- and two-step linear inequalities. Students isolate the variable, choose the correct first operation, solve inequalities with positive and negative coefficients, and identify when multiplying or dividing by a negative number requires reversing the inequality symbol. The worksheet also includes two linear-equation items and one Thanksgiving-related knowledge question. This free printable worksheet with an answer key gives teachers a quick way to check whether students can apply inverse operations and preserve inequality meaning while solving. Use it for guided practice, independent review, or a short formative assessment after instruction on one- and two-step inequalities. The multiple-choice format helps reveal whether students understand the sign-flipping rule, select the correct solution, or need support with a particular solving step.

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Worksheets

One and Two Step Inequalities

Total questions: 13

Name
Class
Date
1.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
2.
Solve: -2x ≤ 14
a)
x ≤ 7
b)
x ≤ -7
c)
x ≥ 7
d)
x ≥ -7
3.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
4.
Solve for t.

6t 
+ 
4 ≤ -2
a)
t ≤ -1 
b)
t ≤ 1
c)
t=1
d)
1=t
5.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
6.
r∕5 -15 = 18
a)
115
b)
15
c)
165
d)
35
7.
-9a - 1 < 26
a)
a<-3
b)
a<3
c)
a>-3
d)
a>3
8.

What would be the first step in solving the inequality for 2x+7>15?

a)

Add 7 to both sides

b)

Subtract 7 from both sides

c)

Divide both sides by 2

d)

Multiply both sides by 2

9.

What is the rule for one or two-step inequalities when multiplying or dividing by a negative coefficient (number)?

a)

No change

b)

Flip the sign

c)

Make your answer a positive number

d)

Get rid of the negative sign

10.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
11.
Solve
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
12.

Do I need to flip my sign?

-3 + x ≥ -12

a)

Yes

b)

No

13.

What traditional meat do Americans eat on Thanksgiving Day?

a)

Lamb

b)

Potatoes

c)

Turkey

d)

Hippopotamus

Answer Key

One and Two Step Inequalities

Total questions: 13

1.
b) s ≥ -34
2.
d) x ≥ -7
3.
d) multiple or divide by a negative number
4.
a) t ≤ -1 
5.
c) 3
6.
c) 165
7.
c) a>-3
8.
b)

Subtract 7 from both sides

9.
b)

Flip the sign

10.
a) Yes
11.
c) z≤9
12.
b)

No

13.
c)

Turkey

FAQs

What does the One and Two Step Inequalities worksheet cover?

This Grade 9 mathematics worksheet uses 13 multiple-choice questions to practice solving one- and two-step linear inequalities. Students identify the correct first operation, isolate the variable, and determine when a negative multiplier or divisor requires the inequality symbol to be reversed; two items also ask students to solve linear equations.

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

Model one item by applying inverse operations to isolate the variable, then have students explain why the inequality symbol changes only when multiplying or dividing by a negative number. Use the questions asking for the first step and whether the sign must flip as discussion prompts before students solve the remaining inequality items independently.

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

Watch for students reversing the sign after adding or subtracting, or failing to reverse it when dividing by a negative number, as in the items with negative coefficients. Students may also choose the correct operation but stop before isolating the variable, or confuse an inequality solution with an equation answer in the two equation items.

How do I assign and grade this One and Two Step Inequalities 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 13 multiple-choice items. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or increase the font size to make the inequality expressions and multiple-choice options easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the one- and two-step inequality questions in the same format.

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.