Absolute Value Equations and Inequalities

Solve for x:

∣ 2x + 9 ∣ = 15

• x = 3

• x = -6, 3

• x = -12, 3

• x = -12, 6

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

| 2x - 3 | + 5 = 12

• x = -2

• x = -2, 5

• x = 5

• x = 2, 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

| x - 20 | = -3

• x = 17

• x = 17, 23

• all real numbers

• No solutions

Tags

CCSS.HSA.REI.B.3

Solve |x|= 9

• x = 9

• x = -9 or x = 9

• No Solution

• x = -9

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Tags

CCSS.HSA.REI.D.12

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

Tags

CCSS.HSA.REI.D.12

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0
• x = 3 and x = -3
• x = -12 and x = 0
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

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

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3