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:
#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:
Solution:
a) n = 3
b) b = -4
Solution:
a) z = 8
b) y = 3
Solution:
a) x = -1
Solution:
a) r = 0
Solution:
a) n = -8