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WorksheetsSolving Absolute Value Equations and Inequality
Total questions: 16
Worksheet time: 8mins
Evaluate the expression |4w + 7| if w = –9.
27
29
-29
-27
Evaluate the expression |3x + y| if x = 2.5 and y = 6.
13.4
14.5
-13.5
13.5
Evaluate the expression 5|xy – w| if w = –3, x = 1.7, and y = 9.
91.5
91.6
92.5
-92.6
Solve the equation |h + 36| = 67.
{ 31, -103 }
{ - 31, -103 }
{ -31, 103 }
{ 31, 103 }
Solve the equation | r+24 | = 22 .
{ 2 , 46 }
{ -2 , 46 }
{ 2 , -46 }
{ -2 , -46 }
Solve the equation | x - 60 | = 32 .
{ 92 , 28 }
{ 92 , 27 }
{ 92 , - 28 }
{ - 92 , 28 }
Solve the equation –4|a + 2| = –8.
{ 0 , 4 }
{ 0 , -4 }
{ -1 , -4 }
{ 1 , -4 }
Solve the equation –5|a + 9| = –8.
{ 7.5 , 10.6 }
{ 7.4 , -10.6 }
{ -7.4 , -10.6 }
{ -7.4 , 11.6 }
What is the solution to the equation
1|7x – 1| – 2 = –5?
x = 1 / 3
no solution
x = -1 / 3
x = 1 / 4
Solve | 4x - 7 | - 6 = 4
{ - 5.25 , -0.75 }
{ 4.25 , 0.75 }
{ 4.25 , - 0.75 }
{ -4.25 , - 0.75 }
3 I 2x + 5 I +14 = 11
- 2/3
14
-14
no solution
|3x + 8| > 5
A . x > -1
B. x < - 13 / 3
C. x < - 14 / 4
both A and B
Solve the following
Absolute-Value Inequalities:
|x -7| < 5
2 < x < 14
- 2 < x < 12
- 2 < x < -12
2 < x < 12
|p + 3 | + 4 < 11
no solution
- 10 < p < 4
10 < p < 4
- 10 < p < - 4
|4w - 2| + 7 = 2
no solution
13
13.5
14
Evaluate the expression |4w + 7| if w = –9.
27
29
-29
-27
