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# Absolute Value Questions - All Grades

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Grade 6 Absolute Value CCSS: 6.NS.C.7, 6.NS.C.7c
Which of the following is the solution to the absolute value inequality $|5 - 3x| > 8$?
1. x > 13/3 or x < -1
2. x < 1 or x > -13/3
3. x > 1 or x < -13/3
4. No solution
What is the distance between $| -45|$ and $| -35| ?$
1. $10$
2. $-10$
3. $80$
4. $-80$
Grade 6 Absolute Value CCSS: 6.NS.C.7, 6.NS.C.7c
Solve for x.

$|8 + 4x| = -12$
1. no solution
2. -5
3. 1
4. 1 or -5
Solve for x.

$|x - 13| = 21$
1. {34, -8}
2. {34,8}
3. {-34, -8}
4. no solution
Grade 7 Absolute Value CCSS: 7.NS.A.1, 7.NS.A.1a
Solve for x.
$7|x-6| =49$
1. $x=55$
2. $x=13$
3. $x=55 or x=-43$
4. $x=13 or x=-1$
Solve the absolute value equation.
$| 5x + 12 | = - 53$
1. $x= 8.2, -13$
2. $x= -8.2, 13$
3. $x= 41/5, 13$
4. $"No solution"$
Grade 6 Absolute Value CCSS: 6.NS.C.7
Grade 6 Absolute Value CCSS: 6.NS.C.7, 6.NS.C.7c
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
Solve the equation $|1-2x|+6=9$.
1. $x= -1$
2. $x= -2, 0$
3. $x= -1, 2$
4. $x= -2,1$
What is the distance between $| -6|$ and $| -4| ?$
1. $2$
2. $-2$
3. $10$
4. $-10$