Download Multi-Step Equations

Multi-Step Equations
Sol A.4
• To solve multi-step equations you form a
series of simpler equivalent equations.
• To do this use the properties of equality,
inverse operations and properties of real
numbers.
• You use the properties until you isolate the
variable.
Combining Like Terms
5 = 5m – 23 + 2m
5 = 5m + 2m – 23
5 = 7m – 23
5 + 23 = 7m – 23 + 23
28 = 7m
28/7 = (7m)/7
4=m
Check your work.
Comm. Prop. Of Addition
Combine Like Terms
Add 23 to both sides
Simplify
Divide each side by 7
Your Turn
11m – 8 – 6m = 22
Your Turn
• -2y + 5 + 5y = 14
Solving a Multi-Step Equation Word
Problem
• Turn to page 95 in your textbook and lets look
at “Problem 2” together.
Solving an Equation Using the
Distributive Property
-8(2x – 1) = 36
-16x + 8 = 36
-16x + 8 – 8 = 36 – 8
-16x = 28
(-16x)/-16 = 28/-16
X = -7/4
Distributive Property
Subtract 8 from both sides
Simplify
Divide each side by -16
Simplify
Your Turn
18 = 3(2x – 6)
Solving an Equation That contains
Fractions
There are 2 methods that you can you to solve
an equation that contains fractions.
I will show you both methods and you need to
try them both to decide which works best for
you!
Method 1
Write the terms using a common
denomitaor
• 3/4x – 1/3x = 10
Method 2
Clear the fractions from the equation
• 3x/4 – x/3 = 10
Your turn
• (2b)/5 + (3b)/4 = 3
Your Turn
• 1/9 = 5/6 – m/3