About Multi-Step Equations:

We previously learned how to use the addition property of equality to solve equations such as: x + a = c. We also learned how to use the multiplication property of equality to solve equations such as: ax = c. We will now use both of these properties to solve a multi-step equation such as: ax + b = c.


Test Objectives
  • Demonstrate an understanding of the addition property of equality
  • Demonstrate an understanding of the multiplication property of equality
  • Demonstrate the ability to solve an equation using more than one property of equality
Multi-Step Equations Practice Test:

#1:

Instructions: Solve each equation.

a) -17 = -5n -1 - 1

b) -b + 5b = -16


#2:

Instructions: Solve each equation.

a) 6(z + 7) = 90

b) 8(5y + 6) = 168


#3:

Instructions: Solve each equation.

a) 6 + 8(3 + 4x) = 2(12x + 11)


#4:

Instructions: Solve each equation.

a) -5(5 + 4r) + 3 = 6 + 7(-5r - 4)


#5:

Instructions: Solve each equation.

a) -8(n - 5) - 2 = -3n - 6(n - 5)


Written Solutions:

#1:

Solutions:

a) n = 3

b) b = -4


#2:

Solutions:

a) z = 8

b) y = 3


#3:

Solutions:

a) x = -1


#4:

Solutions:

a) r = 0


#5:

Solutions:

a) n = -8