Lesson 2.3: Absolute Value Equations Day 1

Solve for x

l 5x l = 40

• {8, -8}

• {35, -35}

• {8}

• No Solution

Solve for x

l 2x−1 l = 9

• { -4, 5}

• {-5, 5}

• {5}

• No Solution

Solve for x

l 3x + 2 l = 5

• {-7/3, 1}

• {4, 8}

• { 0}

• No Solution

Evaluate each expression.

| x + 9 | = -5

• {-14}

• {-4}

• {-14, -4}

• no solution

| x – 3 |= 0

• {3}

• {-3}

• {-3, 3}

• no solution

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3

  x = -6

• x = 3

  x = -12

• x = 6

  x = -12

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve |x – 12| - 3 = 11.

• x = -2
  x = -26
• x = -2
  x = 26
• x = 3
  x = 25
• x = 4
  x =  -7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for m.

 $\left|-9m\right|=81$  

• {4, -4}

• {9, -9}

• {5, -9}

• {13, -1}

Solve for x
l 5x l = 40

• x = 8 and x =-8
• x = 35 and x = -35
• Only x = 8
• No Solution