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Grade 9 Linear Relationships Worksheet

This worksheet focuses on understanding and applying linear relationships, including graphing, identifying slope and y-intercept, and writing linear equations.

Grade 9 Math AlgebraLinear Relationships
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSA.CED.A.2CCSS.MATH.CONTENT.HSA.REI.D.10CCSS.MATH.CONTENT.HSF.LE.A.2

Topics

AlgebraLinear RelationshipsGrade 9GraphingSlopeY-intercept
7 sections · Free to use · Printable
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Grade 9 Linear Relationships

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

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

a

y = x² + 3

b

y = 2x - 5

c

y = |x| + 1

d

y = √x

2. What is the slope of the line that passes through the points (2, 3) and (4, 7)?

a

1

b

2

c

-1

d

-2

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

4. The   of a line describes its steepness and direction.

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

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

6. Write the equation of a line with a slope of 3 and a y-intercept of -2.

7. A horizontal line has an undefined slope.

T

True

F

False

8. The equation y = mx + b is in slope-intercept form.

T

True

F

False

9. A taxi charges a flat fee of $3.00 plus $1.50 per mile. Write a linear equation that represents the total cost (C) for a ride of (m) miles. Then, calculate the cost of a 10-mile ride.