refresher
Directions: Choose the best answer for each question. Answer ALL of the questions (or only a few at a time), then use the CHECK ANSWER button at the bottom of the page to see your progress. If you see that an answer is incorrect, go back and redo that question and CHECK ANSWERS again. Unless otherwise stated, all variables refer to real number values.

1.  Which choice is equivalent to   | −12 | + | 12 | ?
  [1]  0   [2]  24   [3]  12   [4]  -12

 

2. Which choice is equivalent to   − | (5 − 9) | + | −8 | ?
  [1]  12
   [2]  −12   [3]  −4
   [4]  4

 

3. Simplify absfrac when x < 0.
  [1]  1
  [2]   −1   [3]  0   [4]  undefined

 

4.  Fill in the blank:   | x | + 10 is ____________ > 10.
  [1]   always   [2]  sometimes   [3]  never   [4]  unknown

 

5.  Which choice is equivalent to   | −10 | + | −6 | − | 10 | ?
[1]   6 [2]   −6 [3]   16 [4]   26

 

6.  Which choice when added to | −5 + 7 | will equal zero?
[1]   | +5 − 7 | [2]  − | −5 + 7 | [3]  | −( −5 + 7 ) | [4]   | 7 − 5 |

 

7.  The graph of absolute value lies in ______________ and includes the origin.
  [1]  Quadrants I and IV
  [3]  Quadrants I and II 		  [2]  Quadrants III and IV
   [4]  Quadrants II and III

 

8.  Which expression represents the distance on a real number line from −4 to +9 ?
  [1]  | −4 − 9 |   [2]  | 9 − (−4) |   [3]  | −4 + 9 | [4]  Both 1 and 2

 

9.  Which choice is equivalent to   − | −7 | 2 ?
  [1]  49
  [2]  −49   [3] 14
   [4]  −14

 

10.  Which choice is equivalent to abs10?
  [1]  abs10a   [2]  abs10b   [3] abs10c
   [4]  All Choices

 


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