Absolute Value and Inequalities Review

Solve  | 2x - 1 | = -4

• x = ¹/₂ and x = -4
• No Solution
• x = ^-3/₂ and x = ⁵/₂
• x = ³/₂ and x = ^-5/₂

Tags

CCSS.HSA.REI.B.3

Solve | 3x - 6 | - 9 = -3

• No Solution

• x = 0 or x = 4

• x = 2 or x = -2

• x = -4 or x = 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve |-7n + 4| + 9 = 34

• n = -3

• No Solution

• n = -3, n = -29/7

• n = -3, n = 29/7

Tags

CCSS.HSA.REI.A.1

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

Tags

CCSS.6.NS.C.7C

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

Solve for x
l 5x l = 40

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

∣ 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

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

Tags

CCSS.HSA.REI.A.1

Solve for p. 9|9 - 2p| = 81

• p = 0, p = -9

• p = -63/2, p = 99/2

• p = 0, p = 9

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

• {4, -4}
• {9, -9}
• {5, -9}
• {13, -1}

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3