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Grade 11 Linear Functions Worksheet

A Grade 11 math worksheet focusing on linear functions, including graphing, identifying properties, and solving related problems.

Grade 11 Math AlgebraLinear Functions
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Includes

2 Short AnswerMultiple ChoiceGraphFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSF.LE.A.1CCSS.MATH.CONTENT.HSF.LE.A.2CCSS.MATH.CONTENT.HSF.IF.C.7a

Topics

linear functionsalgebragraphingslopeintercepts
7 sections · Free to use · Printable
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Grade 11 Linear Functions Worksheet

Name:

Date:

Score:

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

1. Determine if the following equations represent a linear function. Explain your reasoning.

a) y = 3x - 5

b) y = x² + 2x

2. What is the slope of the line represented by the equation 2x + 4y = 8?

a

2

b

-2

c

-1/2

d

1/2

3. What is the y-intercept of the line represented by the equation y = -3x + 7?

a

(0, -3)

b

(-3, 0)

c

(0, 7)

d

(7, 0)

4. Graph the linear function y = (1/2)x - 2 on the coordinate plane below.

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

5. Write the equation of a line in slope-intercept form (y = mx + b) given the following information.

a) Slope = 3, y-intercept = (0, -4)

Equation:  

b) Passes through points (1, 5) and (3, 11)

Equation:  

6. A taxi service charges a flat fee of $3.00 plus $2.50 per mile. Write a linear equation that represents the total cost (C) of a taxi ride for 'm' miles. Then, calculate the cost of a 10-mile ride.

Equation:

Cost of a 10-mile ride: