Solving Absolute Value Equations and Inequalities

Evaluate the expression.
|1 - 5|

• 4

• -4

• -6

• 6

Tags

CCSS.6.NS.C.7C

Solve:
 |x + 3| > 8

• x > 5 or x < -11

• x > 5

• all real numbers

• no solution

|v + 8| − 5 = 2 

• {-1,-15}

• {-1,-5}

• {-15,15}

• No Solution

Evaluate each expression.
| x + 9 | = -5

• -14

• -4

• {-14, -4}

• no solution

Solve:

• {24}

• {-6, -8}

• {16, 4}

• {24, -24}

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

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or

| x | ≤ 3.5

• No Solution

• All Real Numbers

• -3.5 ≤ x ≤ 3.5

• x ≤ -3.5  or  x ≥ 3.5

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5

Solve. 
5 + |3v| > 20 

• v>5 or v<-5

• v≥5 or v≤-5

• v>-5 or v<5

• all real numbers