Linear equations (one variable)

1. Solve |3 - x| + |x - 2| = 5

• x=3

• x=-2

• x=3

  x=-2

• x=-3

  x=2

Solve Ix-1I = 5

• No solution

• One Solution

• Many Solutions

|2a + 10| = 6

• a = 8, a = 2

• a = −2

• a = −8

• a = −8, a = −2

Solve for x

l 4x+2 l + 9 = 2x - 1

• x = -6 or x = $\frac{4}{3}$

• x = 6 or x = $\frac{4}{3}$

• No solution

• x = -6 or x = -2

| 3x - 6 | - 9 = -3

• No Solution
• x = 0 and x = 4
• x = 2 and x = -2
• x = -4 and x = 4

Solve.
3|2d + 9| + 13 = 10

• d = 5 or d = -1
• d = -4 or d = -5 

• d = 4 or d = -5
• no solution

Given two functions, 
 $f\left(x\right)\ =\ \left|x-4\right|\ +8\ and\ g\left(x\right)=-x^2+18\$  
  Which one is the graph?(use desmos.com to graph)
what are the solution(s) of the equation f(x)=g(x)
Hint where the two graph intersect.

• (-2,14) (3,9)

• (-4.243,0) (4.242,0)

• (-5,10) (4,9)

 $\frac{\left|2x\ +5\right|}{8}\ =\ 2$  

•  $\frac{-11}{2}$  

•  $\frac{-21}{2}$  

•  $\frac{11}{2}$  

•  $\frac{21}{2}$  

Solve by graphing:

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3

  x = -6

• x = 3

  x = -12

• x = 6

  x = -12