Solving Inequalities and Absolute Value Equations

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

CCSS.6.NS.C.7C

Evaluate the expression.
|1 - 5|

• 4
• -4
• -6
• 6

Tags

CCSS.6.NS.C.7C

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Write an inequality for Graph 4.

• -2 < x < 5
• x < -2 or x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x ≤ 5

-1(2x + 4) ≥ 6

• x ≤ -5
• x ≥ -5
• x ≤ -1
• x ≥ -1

Tags

CCSS.7.EE.B.4B

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

Solve the absolute value equation. 

• {7}
• {-7, 7}
• {0, 7}
• No Solution

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3