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One-Step Addition and Subtraction Inequalities Quiz - Printable Mathematics Worksheets - Wayground

One-Step Addition and Subtraction Inequalities Quiz

15 questions

7th - 7th Grade

Mathematics

One-Step Addition and Subtraction Inequalities Quiz is a Grade 7 mathematics worksheet with 15 multiple-choice questions focused on solving one-step inequalities. Students identify inequality symbols, determine solution sets, and select matching number-line graphs with appropriate endpoints and shading. The problems require applying inverse addition or subtraction operations to isolate the variable. This free printable worksheet with an answer key gives teachers a focused way to check whether students can connect an algebraic inequality to its meaning and visual representation. The repeated multiple-choice format supports independent practice, review, or a short formative assessment. Students must distinguish between open and closed circles, interpret less-than and greater-than relationships, and select the correct direction for a solution set rather than simply calculate a numerical answer.

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Worksheets

One-Step Addition and Subtraction Inequalities Quiz

Total questions: 15

Name
Class
Date
1.

Solve the inequality: x+5>8x + 5 > 8 .

a)

x>3x > 3

b)

x<3x < 3

c)

x>13x > 13

d)

x<13x < 13

2.

Graph the solution to the inequality x−4≤2x - 4 \leq 2 .

a)

A number line with a closed circle at 6 and shading to the left.

b)

A number line with an open circle at 6 and shading to the right.

c)

A number line with a closed circle at 2 and shading to the left.

d)

A number line with an open circle at 2 and shading to the right.

3.

Interpret the inequality symbol in x+3<7x + 3 < 7 .

a)

Greater than

b)

Less than

c)

Greater than or equal to

d)

Less than or equal to

4.

Identify the solution set for the inequality x−2≥5x - 2 \geq 5 .

a)

x≥3x \geq 3

b)

x≤3x \leq 3

c)

x≥7x \geq 7

d)

x≤7x \leq 7

5.

Solve the inequality: x+9≤12x + 9 \leq 12 .

a)

x≤3x \leq 3

b)

x≥3x \geq 3

c)

x≤21x \leq 21

d)

x≥21x \geq 21

6.

Graph the solution to the inequality x−1>0x - 1 > 0 .

a)

A number line with an open circle at 1 and shading to the right.

b)

A number line with a closed circle at 1 and shading to the right.

c)

A number line with an open circle at 0 and shading to the left.

d)

A number line with a closed circle at 0 and shading to the left.

7.

Interpret the inequality symbol in x−6≥2x - 6 \geq 2 .

a)

Greater than

b)

Less than

c)

Greater than or equal to

d)

Less than or equal to

8.

Identify the solution set for the inequality x+4<10x + 4 < 10 .

a)

x<6x < 6

b)

x>6x > 6

c)

x<14x < 14

d)

x>14x > 14

9.

Solve the inequality: x−7≤0x - 7 \leq 0 .

a)

x≤7x \leq 7

b)

x≥7x \geq 7

c)

x≤−7x \leq -7

d)

x≥−7x \geq -7

10.

Graph the solution to the inequality x+2≥5x + 2 \geq 5 .

a)

A number line with a closed circle at 3 and shading to the right.

b)

A number line with an open circle at 3 and shading to the left.

c)

A number line with a closed circle at 7 and shading to the right.

d)

A number line with an open circle at 7 and shading to the left.

11.

Interpret the inequality symbol in x+1≤4x + 1 \leq 4 .

a)

Greater than

b)

Less than

c)

Greater than or equal to

d)

Less than or equal to

12.

Identify the solution set for the inequality x−3>1x - 3 > 1 .

a)

x>4x > 4

b)

x<4x < 4

c)

x>2x > 2

d)

x<2x < 2

13.

Solve the inequality: x+6<15x + 6 < 15 .

a)

x<9x < 9

b)

x>9x > 9

c)

x<21x < 21

d)

x>21x > 21

14.

Graph the solution to the inequality x−5≥0x - 5 \geq 0 .

a)

A number line with a closed circle at 5 and shading to the right.

b)

A number line with an open circle at 5 and shading to the left.

c)

A number line with a closed circle at 0 and shading to the right.

d)

A number line with an open circle at 0 and shading to the left.

15.

Interpret the inequality symbol in x−8<3x - 8 < 3 .

a)

Greater than

b)

Less than

c)

Greater than or equal to

d)

Less than or equal to

Answer Key

One-Step Addition and Subtraction Inequalities Quiz

Total questions: 15

1.
a)

x>3x > 3

2.
a)

A number line with a closed circle at 6 and shading to the left.

3.
b)

Less than

4.
c)

x≥7x \geq 7

5.
a)

x≤3x \leq 3

6.
a)

A number line with an open circle at 1 and shading to the right.

7.
c)

Greater than or equal to

8.
a)

x<6x < 6

9.
a)

x≤7x \leq 7

10.
a)

A number line with a closed circle at 3 and shading to the right.

11.
d)

Less than or equal to

12.
a)

x>4x > 4

13.
a)

x<9x < 9

14.
a)

A number line with a closed circle at 5 and shading to the right.

15.
b)

Less than

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FAQs

What does the One-Step Addition and Subtraction Inequalities Quiz cover?

This Grade 7 worksheet uses 15 multiple-choice questions to assess solving one-step addition and subtraction inequalities, interpreting inequality symbols, identifying solution sets, and matching inequalities to number-line graphs. Completing the items helps students connect the inverse operation used to isolate a variable with the correct endpoint type and shading direction on a graph.

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

First model how to undo the addition or subtraction in an inequality, then ask students to explain what the resulting symbol means before selecting a solution set. Use the graphing items to discuss why some endpoints are open or closed and why the number line is shaded left or right. After guided examples, assign the remaining multiple-choice questions for independent practice and review the reasoning behind each choice.

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

Watch for students choosing an answer without applying the inverse operation, misreading less-than or greater-than symbols, or selecting a solution set that does not match their algebraic result. In the graphing questions, common errors include using an open circle when the endpoint is included, using a closed circle when it is excluded, and shading in the wrong direction. Students may also confuse the boundary value before and after undoing the addition or subtraction.

How do I assign and grade this worksheet?

The One-Step Addition and Subtraction Inequalities Quiz is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for all 15 multiple-choice questions. Assign the digital version for online responses, or print the worksheet and grade student work using the answer key. Printable submissions can also 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 adjust font spacing or increase the font size so the inequality expressions, answer choices, and number-line graphics are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the solving, symbol-interpretation, and graph-selection tasks intact.

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, including downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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