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Grade 7 Math: Linear Relationships

This worksheet focuses on understanding and analyzing linear relationships, including identifying slope and y-intercept, interpreting graphs, and solving related problems.

Grade 7 Math AlgebraLinear Relationships
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.8.F.B.4CCSS.MATH.CONTENT.8.F.A.3

Topics

mathalgebralinear relationshipsgrade 7
8 sections · Free to use · Printable
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Grade 7 Math: Linear Relationships

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show your work where applicable.

1. Which of the following equations represents a linear relationship?

a

y = x² + 3

b

y = 2x - 5

c

y = |x| + 1

d

y = 1/x

2. What does the 'm' represent in the equation y = mx + b?

a

y-intercept

b

x-intercept

c

slope

d

constant

3. The point where a line crosses the y-axis is called the  .

4. A linear relationship can be represented by a straight   on a graph.

5. Describe the key characteristics of a linear relationship.

6. In a linear relationship, the rate of change is constant.

T

True

F

False

7. Graph the linear equation y = 2x - 1 on the coordinate plane below.

-10-8-6-4-2246810-10-8-6-4-2246810

8. Look at the graph you drew for question 7. What is the slope of the line? What is the y-intercept?

Slope:  

Y-intercept: