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Comparing Linear Functions to y=x

Comparing Linear Functions to y=x

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Practice Problem

Hard

CCSS
8.EE.B.5, 8.EE.B.6, 8.F.B.4

+2

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.8.EE.B.5
,
CCSS.8.EE.B.6
,
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
,
CCSS.8.F.A.3
,
Mr. Bowman explains how to compare linear functions to the parent function y = x. He first analyzes the function y = 1/5x, discussing its slope and y-intercept compared to y = x, concluding that it is less steep with no vertical shift. Next, he examines y = x + 3, noting that it has the same slope as y = x but a vertical shift upwards by three units.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the parent function of all linear functions?

y = 2x

y = x

y = x + 1

y = x^2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the steepness of y = (1/5)x compare to y = x?

It is steeper

It is not a linear function

It is equally steep

It is less steep

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the function y = (1/5)x?

1

5

0

1/5

Tags

CCSS.8.EE.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where does y = (1/5)x cross the y-axis compared to y = x?

It does not cross the y-axis

At a higher point

At the same point

At a lower point

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of y = (1/5)x?

0

1

1/5

5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the steepness of y = x + 3 compare to y = x?

It is less steep

It is not a linear function

It is steeper

It is equally steep

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the function y = x + 3?

3

1

0

x

Tags

CCSS.8.EE.B.5

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