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Absolute Value Unit Review

Authored by Deborah Rubio

Mathematics

9th - 12th Grade

CCSS covered

Used 17+ times

Absolute Value Unit Review
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12 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which number line shows the solution set of the inequality  2x+35\left|2x+3\right|\le5  ?

Media Image
Media Image
Media Image
Media Image

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If g(x)=2g(x)=2  and  f(x)=x23f(x)=|x-2|-3  when will  f(x)=g(x)f(x)=g(x)  ?

x = -1, 0

x = -3, 7

x = -1, 5

x = 0, -1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If  f(x) = xf\left(x\right)\ =\ \left|x\right|  which of the following statements best describes the graph of  2f(x)-2f(x)  ? 

The graph has a vertex at (-2, 0) and is reflected and neither wider nor narrower than the graph of f(x).

The graph has a vertex at (0,-2) and is reflected and wider than the graph of f(x).

The graph has a vertex at (0, 0) and is reflected and narrower than the graph of f(x).

The graph has a vertex at (0,0) and is reflected and wider than the graph of f(x).

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following functions has a line of symmetry at x = -2?

f(x)=x+2f(x)=|x|+2

f(x)=x2f(x)=|x-2|

f(x)=x+2f(x)=|x+2|

f(x)=x2f(x)=|x|-2

Tags

CCSS.HSF-IF.C.7D

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 What is the solution set to the equation 33x3=33|3-x|-3=3 ?

x = 1, 5

x = 2, 4

x = 3

No solution

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The amount of chips in an 18-ounce bag of chips can vary by as much as 0.4 ounces. Which of the following absolute value equations could be used to find the maximum and minimum ounces of chips in a randomly selected 18-ounce bag of chips?

x+0.4=18|x+0.4|=18

x0.4=18|x-0.4|=18

x18=0.4|x-18|=0.4

x+18=0.4|x+18|=0.4

Tags

CCSS.HSA.CED.A.3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the range of the function h(x)=2x+107h(x)=-2|x+10|-7  ?

 [10,)[-10,∞)  

 (,7](-∞,-7]  

 [10, )[10,\ ∞)  

 [7,)[-7,∞)  

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