1) |9v| = 22
9|v| = 22
|v| = 22/9
v = ±22/9
v ≈ ±2.44
2) |-9c| = 8
9|c| = 8
|c| = 8/9
c = ±8/9
c ≈ ±0.89
3) |9|t|| = 11
9|t| = 11
|t| = 11/9
t = ±11/9
t ≈ ±1.22
4) |2|-n|| = 19
2|n| = 19
|n| = 19/2
n = ±19/2
n = ±9.50
5) |y - 20| = 21
y - 20 = 21 or y - 20 = -21
y = 41 or y = -1
y = 41.00, -1.00
6) |-a - 7| = 4
|-(a + 7)| = 4
|a + 7| = 4
a + 7 = 4 or a + 7 = -4
a = -3 or a = -11
a = -3.00, -11.00
7) |z| - 27 = 29
|z| = 56
z = ±56
z = 56.00, -56.00
8) |-r| + 13 = 12
|r| + 13 = 12
|r| = -1
No solution (absolute value cannot be negative)
9) |3b - 29| = 18
3b - 29 = 18 or 3b - 29 = -18
3b = 47 or 3b = 11
b = 47/3 or b = 11/3
b ≈ 15.67, 3.67
10) |-9x - 23| = 10
|-9x - 23| = 10
-9x - 23 = 10 or -9x - 23 = -10
-9x = 33 or -9x = 13
x = -33/9 or x = -13/9
x = -11/3 or x = -13/9
x ≈ -3.67, -1.44
Parent Tip: Review the logic above to help your child master the concept of equations and inequalities worksheet.
