solving absolute values

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3, -6

• x = 3, -12

• x = 6, -12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|3m - 9| = 18

• m = 9,-3

• m = 9,3

• m = 9

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

| x + 3 | ≤ 2

• No Solution

• x ≤ -1

• -5 ≤ x and x ≤ -1

• 1 ≤ x and x ≤ 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| x + 3 | > 8

• No Solution
• All Real Numbers
• x < -11  or  x > 5
• -5 < x < 11

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What is the correct first step?

• divide by 10
• multiply by 10
• make it two inequalities with an "or"
• make it two inequalities with and "and

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8

• add 8 to both sides

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• no solution
• x > 2 or x < -22
• -22 < x < 2
• all real numbers

Tags

CCSS.HSA.REI.B.3

-8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Tags

CCSS.6.EE.B.8

10 < 3x + 19

• x < 3
• x > 3
• x < -3
• x > -3

Tags

CCSS.7.EE.B.4B