Absolute Value Equations & Inequalities Quiz

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Tags

MI.CCSAS.Math.Content.6.NS.C.7.c

Solve for x
l 5x l = 40

• x = 8 and x =-8
• x = 35 and x = -35
• Only x = 8
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x

| x - 3 | = 40

• x = 43, x = -37

• x = 43, x = -43

• x = -43, x = 37

• x = -37, x = 37

Solve for x

| x + 9 | = -5

• x = -14

• x = -4

• x = -14 and x = -4

• no solution

Tags

CCSS.HSA.REI.B.3

Solve for x
l 2x − 1 l = 9

• x = 5 and x =-4
• x = 5 and x = -5
• Only x = 5
• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.7

Solve | x – 12 | - 3 = 11.

• x = -2 and x = -26

• x = -2 and x = 26

• x = 4 and x = 26

• No Solution

Solve.

 $2\left|x-25\right|+4\ =\ 12$  

• x = 29

• x = 17, x = 29

• x = 21, x = 29

• No Solution

Solve the inequality. 
| m | + 5 < 9

• m < 4
• m < -4
• -4 < m < 4
• m < 4,-4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
| c + 4 | < 5

• x < -9 or x > 1
• -9 < x < 1
• x < 9 or x > -1
• -1 < x < 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve.
| 4m + 9 | ≥ 21

• -7.5 ≤ m ≤ 3
• m ≤ -7.5 or m ≥ 3
• -3 ≤ m ≤ 7.5
• m ≤ -3 or m ≥ 7.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3