Linear equations (one variable)

Solve the absolute value equation:

 $-2\left|3x-1\right|=4$  

• 2 solutions: x=-1,1
  

• 1 solution: x=1/3
  

• no solution
  

• none of the above
  

• -3

• 13

• 7

• -13

Solve for x:
 $\left|x+6\right|=11$  

•  $x=-6\ \ \ \ OR\ \ \ \ x\ =\ 11$ 

• No Solution

•  $x=5\ \ \ \ \ OR\ \ \ \ \ x=-17$ 

•  $x=-5\ \ \ \ OR\ \ \ \ \ x\ =\ 17$ 

What is the solution to the equation |2x + 5| = 9?

• x = -7 or x = 2

• x = -7 or x = -2

• x = 7 or x = -2

• x = 7 or x = 2

Solve the following equation:

∣ 2x + 9 ∣ = 15

• x = 3

• x = 3, x = −6

• x = 3, x = −12

• x = 6, x = −12

Solve:

 $\left|2x-1\right|=-4$  

•  $x=\frac{1}{2}\ \ \ \ OR\ \ x\ =\ -4$  

• No Solution

•  $x=-\frac{3}{2}\ \ OR\ \ x\ =\ \frac{5}{2}$  

•  $x=\frac{5}{2}\ \ OR\ \ x\ =\ -\frac{3}{2}$  

Solve the equation for y.

 $\left|2y-4\right|=-8$  

•  $y=-2\ or\ y=6$  

•  $y=2\ or\ y=-6$  

•  $y=-2\ or\ y=-6$  

• No Solution

Solve:

 $\left|2x-7\right|=9$  

•  $x=-1,8$  

•  $x=-1$  

•  $x=-8$  

•  $x=-8,1$  

How many solutions does the equation |x - 4| = -5 have?

• two solutions

• one solution

• no solution

• three solutions