Solving Multi-Step Equations and Absolute Value

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4 

3x + 2(4x - 4) = 3

• 4

• 3

• 2

• 1

2x + 3(5x - 7) = 47

• 1

• 2

• 3

• 4

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

How many solutions does the following equation have?

3| x + 3 | -3 = -3

• One

• Two

• Three

• Zero

Solve the absolute value equation: |7x - 2| = 4

• x = 1, x = -2/7

• x = 4, x = -1/7

• x = 2/7, x = -1

• x = 1/7, x = -4

• -50, 20

• -45, 30

• 5, 25

• 0, 35

What is the first step when solving an absolute value equation?

• Eliminate the y

• Switch x and y

• Eliminate any outside terms

• Set everything = to 0

what is an absolute value equation?

• equations where the variable is within an absolute value operator

• equations where the variable is without an absolute value operator

• when the equations are always positive

• when the equations are always negative

solve for t.

|t - 8| + 4 = 11

• 1, 15

• -23, 7

• 15

• 15, -15