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Add/Subtract/Multiply/Divide Integers w/ Number Lines and Models - Printable Math Worksheets 6th Grade - Wayground

Add/Subtract/Multiply/Divide Integers w/ Number Lines and Models

Rebecca Berthold

Created by Rebecca Berthold

10 questions

6th Grade

Math

Updated Oct 2026

This Grade 6 mathematics worksheet helps students interpret integer addition, subtraction, multiplication, and division using visual models and number lines. Students answer 10 multiple-choice questions by selecting the equation represented by each model, distinguishing positive and negative values and connecting visual representations to symbolic expressions. The items include open and closed circle models, where open circles represent 1 and closed circles represent -1, as well as number lines showing operations with signed integers. The worksheet is useful for introducing or reinforcing how models communicate operation type, sign, and result. Students must attend to whether a representation shows combining, repeated groups, equal sharing, or movement along a number line rather than relying only on computation. It is a free printable worksheet with an answer key for Grade 6 practice, independent work, small-group instruction, review, or a quick check of students’ ability to translate integer models into equations.

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WaygroundWorksheets

Add/Subtract/Multiply/Divide Integers w/ Number Lines and Models

Total questions: 10

Name
Class
Date
1.
Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

a)

5 + 5 = 10

b)

5 x 2 = 10

c)

-5 + -5 = -10

d)

-5 x 2 = -10

2.
Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

a)

-3 x 3 = -9

b)

3 x 3 = 9

c)

3 + 3 = 6

d)

-3 + -3 = -6

3.
Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

a)

-12 ÷\div  2 = -6

b)

12 x 4 = 48

c)

12 ÷\div  4 = 3

d)

3 x -4 = -12

4.
Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

a)

-4 + 5 = 1

b)

4 + -5 = -1

c)

4 + 5 = 9

d)

-4 + -5 = -9

5.
Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

Choose the correct equation represented by the model. Open circles = 1; Closed circles = -1

a)

4 + 1 = 5

b)

-4 + 1 = -3

c)

-4 + -1 = -5

d)

4 + -1 = 3

6.
Choose the correct equation represented by the number line.

Choose the correct equation represented by the number line.

a)

4 x 2 = 8

b)

-4 x -2 = 8

c)

-4 x 2 = -8

d)

4 x -2 = -8

7.
Choose the correct equation represented by the number line.

Choose the correct equation represented by the number line.

a)

-3 x 2 = 6

b)

3 x 2 = 6

c)

-3 x 2 = -6

d)

-3 x -2 = -6

8.
Choose the correct equation represented by the number line.

Choose the correct equation represented by the number line.

a)

6 ÷\div  2 = 3

b)

-6 ÷\div  2 = -3

c)

6 ÷\div  -2 = -3

d)

-6 ÷\div  -2 = 3

9.
Choose the correct equation represented by the number line.

Choose the correct equation represented by the number line.

a)

-5 + 7 = 2

b)

7 - 5 = 2

c)

5 + 7 =12

d)

-7 + 5 = -2

10.
Choose the correct equation represented by the number line.

Choose the correct equation represented by the number line.

a)

6 + 9 = -3

b)

9 - 6 = 3

c)

6 - 9 = -3

d)

-3 + 6 = 3

WaygroundAnswer Key

Add/Subtract/Multiply/Divide Integers w/ Number Lines and Models

Total questions: 10

1.
b)

5 x 2 = 10

2.
a)

-3 x 3 = -9

3.
b)

12 x 4 = 48

4.
b)

4 + -5 = -1

5.
d)

4 + -1 = 3

6.
a)

4 x 2 = 8

7.
c)

-3 x 2 = -6

8.
a)

6 ÷\div  2 = 3

9.
d)

-7 + 5 = -2

10.
c)

6 - 9 = -3

FAQs

What does this worksheet cover, and how does it help students represent integer operations?

This Grade 6 worksheet contains 10 multiple-choice items in which students match circle models and number lines to equations involving integer addition, subtraction, multiplication, and division. The visual-to-symbolic format builds students’ ability to identify operation type, interpret positive and negative values, and select an equation that matches both the model and its result.

How can I use this worksheet to teach integer operations with models and number lines?

Introduce the model key first: open circles represent 1 and closed circles represent -1, then have students describe what each visual shows before viewing the answer choices. For the number-line items, ask students to identify the starting value, direction, and number of steps or groups, and require them to explain why the selected equation—not merely its result—matches the representation.

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

Students may confuse open and closed circles, treat every group of symbols as addition, or choose an equation with the correct magnitude but the wrong sign. In the number-line questions, watch for reversed direction, missed negative signs, and confusion between subtraction and addition; students may also select a multiplication equation when the representation shows division, or vice versa.

How do I assign and grade this integer operations worksheet?

The worksheet is available on Wayground as a printable PDF and as a digital quiz, and it includes a complete answer key. Grade the digital quiz through Wayground, or scan students’ printable work with the Wayground for Teachers app to streamline grading while checking how accurately they matched each model or number line to an equation.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the circle models, number lines, and answer choices are easier to scan. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those file-level changes support access to the integer-operation items.

Where can I find more free 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 support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.