Absolute Value Unit Review

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

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

• x = -1, 0

• x = -3, 7

• x = -1, 5

• x = 0, -1

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

• 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).

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

• $f(x)=|x|+2$

• $f(x)=|x-2|$

• $f(x)=|x+2|$

• $f(x)=|x|-2$

Tags

CCSS.HSF-IF.C.7D

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

• x = 1, 5

• x = 2, 4

• x = 3

• No solution

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?

• $|x+0.4|=18$

• $|x-0.4|=18$

• $|x-18|=0.4$

• $|x+18|=0.4$

Tags

CCSS.HSA.CED.A.3

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

•  $[-10,∞)$  

•  $(-∞,-7]$  

•  $[10,\ ∞)$  

•  $[-7,∞)$  

What is the solution of the inequality $|2x+3|>7$  ?

•  $[-5,2]$  

•  $(-∞,-5)∪(2,∞)$  

•  $(-5,2)$  

•  $(-∞,-5]∪[2,∞)$  

Identify a, c, d for the graphed function.

• a = -1/2, c = 3, d = -3

• a = 2, c = -3, d = 3

• a = -2, c = -3, d = 3

• a = -2, c = 3, d = - 3

Identify the domain and range of the graphed function.

• $D:\ \left(-\infty,-3\ \right)\ R:\ \left(-\infty,\ \infty\right)$

• $D:\ \left(-\infty,\infty\ \right)\ R:\ \left(-\infty,\ 3\right]$

• $D:\ \left(-\infty,\infty\right)\ R:\ \left(-\infty,\ 3\right)$

• $all\ real\ numbers$

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5