Systems of Equations and Absolute Value

Solve for x
l 5x l = 40

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

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5
• x = 2 and x = -1
• x = -2 and x = 9
• No Solution

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

• -14
• -4
• {-14, -4}
• no solution

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

What is the solution to this system?

y= 4x + 3

2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

-4x-2y=-12
4x+8y=-24

• (5,6)
• (6,-6)
• (6,-2)
• (4,-3)

Solve: |x+5| < 9

• -14 < x < 4

• x > -14 or x < 4

• -4 < x < 4

• x > -4 or x < 14

Solve 4|x - 1| < 24

• -7 < x < 7

• -5 < x < 7

• x < -5 or x > 7

• -5 < x < 5

|2x| ≤ 14; Is this an AND or an OR?

• AND

• OR

Solve: 10 < |2x + 4|

• -7 < x < 3

• -3 < x < 3

• x < -3 or x > 3

• x < -7 or x > 3