Solving Inequalities and Absolute Value Equations

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

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

Solve |2x –3| + 5 =10.

• -1, 1

• -1, 4

• -1, -4

• 1, 4

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

Write an inequality for Graph 2.

• −2 ≤ x < 5

• x ≤ −2 AND x > 5

• x ≥ −2 OR x < 5

• −2 ≤ x ≤ 5

What is the first step?

• Drop the absolute value bars by splitting into two equations

• Add 2 to both sides

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

Solve:

• {24}

• {-6, -8}

• {16, 4}

• {24, -24}

|6 - 2k| = 18

• k = -6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5