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
#1:
Instructions: Solve each equation.
a) -17 = -5n -1 - 1
b) -b + 5b = -16
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#2:
Instructions: Solve each equation.
a) 6(z + 7) = 90
b) 8(5y + 6) = 168
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#3:
Instructions: Solve each equation.
a) 6 + 8(3 + 4x) = 2(12x + 11)
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#4:
Instructions: Solve each equation.
a) -5(5 + 4r) + 3 = 6 + 7(-5r - 4)
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#5:
Instructions: Solve each equation.
a) -8(n - 5) - 2 = -3n - 6(n - 5)
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Written Solutions:
#1:
Solutions:
a) n = 3
b) b = -4
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#2:
Solutions:
a) z = 8
b) y = 3
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#3:
Solutions:
a) x = -1
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#4:
Solutions:
a) r = 0
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#5:
Solutions:
a) n = -8
