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Representing Additive and Multiplicative Relationships - Printable Mathematics Worksheets class 6 - Wayground

Representing Additive and Multiplicative Relationships

15 questions

6th - 6th Grade

Mathematics

Representing Additive and Multiplicative Relationships is a Grade 6 mathematics worksheet that helps students identify independent and dependent variables in coordinate-plane and real-world situations. The 15 multiple-choice questions review which variables belong on the x- and y-axes, recognize the x-axis as horizontal, and determine which quantity depends on the other in examples involving cake deliveries, stickers and papers, walkathon fundraising, studying and grades, travel distance, and mailing costs. This free printable worksheet gives students repeated practice interpreting variable relationships from descriptions, labels, and graphs. Students must connect the context to the correct variable rather than simply recall vocabulary, building a foundation for representing relationships mathematically. A complete answer key is included for efficient review, independent practice, homework, or formative assessment.

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Worksheets

Representing Additive and Multiplicative Relationships

Total questions: 15

Name
Class
Date
1.
a)

Additive

b)

Multiplicative

2.

a)

Additive

b)

Multiplicative

3.

a)

Additive

b)

Multiplicative

4.

a)

Additive

b)

Multiplicative

5.

a)

y = 2x

b)

y = 2 + x

6.

a)

y = 3x

b)

y = 3 + x

7.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
8.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
9.

The x- axis is the ___________________ number line in the coordinate plane.

a)

Vertical

b)

Diagonal

c)

Horizontal

10.
Bob earned $8 for every cake he delivers.

m = money
c = cakes he delivers

The dependent variable is:
a)
m = money
b)
c = cakes he delivers
11.
Carrie gets one sticker for every paper she completes.

s = stickers
p = paper

The independent variable is:
a)
s = stickers
b)
p = paper
12.

Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.

m = the amount of money Sarah will raise

d = the distance Sarah walks

Which of the variables is dependent?

a)

m

b)

d

13.

The total hours, h, spent studying, will determine the grade, g, you earn on your test.


h= represents hours spent studying

g= represents grade earned from studying.

a)

The dependent variable is "g", grade

b)

The dependent variable is " h", hours

14.

The graph shows the distance traveled by Ms. Luce's family on a road trip. They will travel 25 miles each hour. Which statement is true about the situation?

a)

the independent variable is distance

b)

the independent variable is d=25 t

c)

the dependent variable is time

d)

the dependent variable is distance

15.
The graph shows the cost of mailing a package based on its weight.  Which statement is true about the situation?
a)
The dependent variable is total cost
b)
The dependent variable is weight
c)
The independent variable is total cost
d)
The independent variable is cost of a package
Answer Key

Representing Additive and Multiplicative Relationships

Total questions: 15

1.
b)

Multiplicative

2.
a)

Additive

3.
a)

Additive

4.
b)

Multiplicative

5.
a)

y = 2x

6.
b)

y = 3 + x

7.
b) y-axis
8.
a) x-axis
9.
c)

Horizontal

10.
a) m = money
11.
b) p = paper
12.
a)

m

13.
a)

The dependent variable is "g", grade

14.
d)

the dependent variable is distance

15.
a) The dependent variable is total cost

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FAQs

What does the Representing Additive and Multiplicative Relationships worksheet cover?

This Grade 6 mathematics worksheet uses 15 multiple-choice questions to practice identifying independent and dependent variables in graphs and real-world situations. Students determine which variable belongs on the x- or y-axis and decide which quantity depends on the other in contexts such as earnings, stickers, study time and grades, travel distance, and mailing cost.

How can I use this worksheet to teach independent and dependent variables?

First model the x-axis as the horizontal axis and the y-axis as the vertical axis, then introduce the input quantity as the independent variable and the resulting quantity as the dependent variable. Use the worksheet’s scenarios to ask, “Which quantity changes because of the other?” before students select an answer, such as identifying distance as the input and money raised as the dependent result in the walkathon example. Review the graph-based items afterward and have students explain their variable choices.

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

Students may reverse the x- and y-axes, confuse horizontal with vertical, or label the quantity being controlled as dependent. They may also choose the first variable named in a situation instead of checking which quantity depends on the other—for example, selecting study hours rather than the grade earned, or package weight rather than total mailing cost. Ask students to restate each relationship as “___ depends on ___” before answering.

How do I assign and grade this worksheet?

Wayground provides this worksheet as a printable PDF and as a digital quiz, with a complete answer key for all 15 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital quiz.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the multiple-choice prompts and variable labels easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language, which may support access to the graph and real-world relationship questions.

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, including 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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