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# Absolute Value Equations, M/C (Grade 10)

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## Absolute Value Equations, M/C

1.
Select the solutions of $|2x - 3| - 8 = -5$.
1. x = 0, x = - 2
2. x = 0, x = 2
3. x = - 2, x = 2
4. x = 0, x = 3
2.
Solve the absolute value equation.
$| 4x - 2 | - 6 = 20$
1. x = 4, x = -4
2. x = 2, x = -2
3. x = 6, x = -7
4. x = -6, x = 7
3.
Solve for $x$.
$3 | 2x - 3 | = 21$
1. 7, 2
2. 21, 7
3. 2, -3
4. 5, -2
4.
Solve for x.
$7|x-6| =49$
1. $x=55$
2. $x=13$
3. $x=55 or x=-43$
4. $x=13 or x=-1$
5.
Solve the absolute value equation.
$| 5x + 12 | = - 53$
1. $x= 8.2, -13$
2. $x= -8.2, 13$
3. $x= 41/5, 13$
4. $"No solution"$
6.
Solve. $|x - 5| -2 = -2x$
1. $x=7/3$
2. $x=-3$
3. $x=-3,7/3$
4. $x=3,7$
7.
Solve. $abs(8-4x)=40$
1. x = 8; x = 12
2. x = 8; x = -12
3. x = -8; x = -12
4. x = -8; x = 12
8.
Solve for x.

$|8 + 4x| = -12$
1. no solution
2. -5
3. 1
4. 1 or -5
9.
Solve the equation $|1-2x|+6=9$.
1. $x= -1$
2. $x= -2, 0$
3. $x= -1, 2$
4. $x= -2,1$
10.
Solve. $| 2x-2 | = 3x + 7$
1. $x = -9,-1$
2. $x = -1$
3. $x = -9$
4. $"No solution"$
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