Transcript 2.2 Solving Two-Step Equations

2.2 Solving Two-Step
Equations
I can solve two-step equations in one variable.
What is a two-step equation?

Requires 2 steps to solve.
◦ Involves 2 operations
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Uses properties of equality and inverse
operations to solve.
◦ Isolate the variable.
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Ex:
How to Solve
Identify operations
 Use inverse operations to “undo” them
 Undo operations in reverse order
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Ex: 2x+3 = 15
◦ Multiplication and addition
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Undo
◦ Subtract 3: 2x = 12
◦ Divide by 2: x = 6
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Solution: x = 6
Solving with 2 Terms in the
Numerator
𝑥−7

3

= −12
Operations
◦ Subtraction and division
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Undo
◦ Multiply by 3: x – 7 = -36
◦ Add 7: -29
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Solution: x = -29
Practice

-t + 8 = 3
◦t=5
1
 𝑎
3
+ 7 = 11
◦ a = 12

6=
𝑥−2
4
◦ x = 26
Using an Equation as a Model
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An advertisement for community service
opportunities uses half a sheet of paper per
ad and 5 sheets for a title banner. If you
have 18 sheets, how many ads can be made?
What do we know?
What are we looking for?
Write an equation.
1
 𝑎
2


+ 5 = 18
Solve.
a = 26
Assignment
ODDS ONLY
 P.91 #11-33, 39-45, 51
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