Absolute Value Equations and Inequalities

Solve:
|2x-3|=5

• x=4
• x=4 and x=-4
• x=4 and x=-1
• x=14

Solve:
2|5x-1|+3=9

• x=4/5
• x=7/5 and x=-1
• x=7/5
• x=4/5 and x=-2/5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve:
 |−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:
|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

Solve:
|m-2|<8

• 9>m>8
• 2<m< -6
• -6 <m< 10
• 0>m<0

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What kind of compound inequality is this?

• AND compound inequality
• OR compound inequality

What kind of inequality is this? |x-2|<7

• AND compound inquality
• OR compound inequality

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Absolute value is defined as...

• always positive numbers
• negative numbers becoming positive
• distance from zero
• numbers on the number line

Tags

CCSS.6.NS.C.7C

What is the first step?

• Drop the absolute value bars by splitting into two equations
• Add 2 to both sides

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3