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# Absolute Value Questions - All Grades

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Grade 6 Absolute Value CCSS: 6.NS.C.7
Solve the equation $|1-2x|+6=9$.
1. $x= -1$
2. $x= -2, 0$
3. $x= -1, 2$
4. $x= -2,1$
Grade 6 Absolute Value CCSS: 6.NS.C.7, 6.NS.C.7c
Given: $|(x + 5)/3| - 3 > 6$
Find all solutions to x.
1. $x>22 or x<-32$
2. $x>32 or x<-22$
3. $x > 16 or x < -26$
4. $x>26 or x<-16$
Absolute value is:
1. The distance from zero
2. Shown with the symbols | |
3. Always positive
4. All of the above
Grade 6 Absolute Value CCSS: 6.NS.C.7c
Grade 6 Absolute Value CCSS: 6.NS.C.7, 6.NS.C.7c
Given: $1/11|2x - 4| + 10 <= 11$
Find all solutions for x.
1. $-53.5 <= x <= 57.5$
2. $-57.5 <= x <= 53.5$
3. $-7/2 <= x <= 15/2$
4. $-15/2 <= x <= 7/2$
When isolating the absolute value part of the equation, what steps should you do and in what order?

$3-4|x-4| =27$
1. Add 4 on both sides, divide both sides by 3
2. Subtract 3 on both sides, divide both sides by 4
3. Subtract 3 on both sides, add 4 on both sides
4. Add 3 on both sides, multiply both sides by 4
5. Subtract 3 on both sides, divide both sides by -4
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
Grade 7 Absolute Value CCSS: 7.NS.A.1c
The distance between $| -45|$ and $| -35|$
1. $10$
2. $-10$
3. $80$
4. $-80$