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Construct Function to Model Linear Relationship

Authored by Barbara White

Mathematics

8th Grade

CCSS covered

Construct Function to Model Linear Relationship
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23 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How can you write the equation for a linear function if you know only two ordered pairs for the function?

Use the two ordered pairs to find the slope (m). Then substitute the slope and one set of ordered pairs into y=mx+b to solve for b.

Use the two ordered pairs to find the y-intercept (b). Then substitute the y-intercept and one set of ordered pairs into y=mx+b to solve for m.

Use the two ordered pairs to find the value of y. Then substitute the the value of y and one set of ordered pairs into y=mx+b to solve for x.

Use the two ordered pairs to find the value of x. Then substitute the the value of x and one set of ordered pairs into y=mx+b to solve for y.

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A line passes through the points (5, –7.5) and has a y-intercept 10.

Which is a linear function in the form of y = mx + b for this line?

y = 0.5x + 10

y = –1.5x + 10

y = –3.5x + 10

y = 10x – 3.5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write a function in the form y=mx+b for the line that passes through the points (2,4) and (6,16)

y = 3x - 2

y = 2x + 4

y = 6x + 16

y = 2x + 6

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Sierra is building a skateboard ramp.

She wants the ramp to have a height, h, of 15 inches and a base length, l, of 54 inches.

Which linear function models the situation?

y = (5/18)x

y = (18/5)x

y = 5x + 18

y = 18x + 5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is in slope-intercept form?

y=10x-7
y-5=3(x-1)
5x-y=12
6x+2y-15=0

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Is this function linear or nonlinear?

Linear
Nonlinear

Tags

CCSS.8.F.A.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the slope given the following points: (5,1) and (3,1)

m=1/4
m=0
m=1
m=undefined

Tags

CCSS.8.EE.B.5

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