Absolute Value Equations & Inequalities

Solve this equation. 
|-6x| = 30

• x = -5
• No solution
• x = 5, -5
• x = 5 

Solve the equation. 
|m| + 2 = 11

• m = -9
• m = 9
• m = -13, 9
• m = 9, -9

Solve the equation. 
4|n + 8| = 56

• n = 6
• n = -22
• n = 6, -22
• No solution

Solve the equation. 
-10|v + 2| = -70

• v = 5
• v = -9
• v = 5,-9
• No solution

Solve the inequality. 
|k| - 6 ≤ -1

• k ≤ 5
• k ≤ -5
• k ≤ -5, 5
• -5 ≤ k ≤ 5

Solve the inequality. 
|m| + 5 < 9

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

| x + 3 | ≤ 2

• No Solution
• All Real Numbers
• -5 ≤ x ≤ -1
• 1 ≤ x ≤ 5

| 2x + 12 | < 8

Which is the correct first step?

• 2x + 12 < 8 and 2x+12 > -8

• 2x + 12 < 8 or 2x+12 > -8

• 2x + 12 < 8 and 2x+12 < -8

• 2x + 12 < 8 or 2x+12 < -8

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

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.

Tags

CCSS.6.NS.C.7C