Download 2-2: Solving Two-Step Equations Solving Two-Step Equations 3 4 5

Solve the following equations:
1) x  4  5
2-2: Solving Two-Step Equations
2) 3x  9
4  4
3
3) 3x  4  5
4  4
3x  9
3
3
3
Algebra 1
x3
x9
Solving Two-Step Equations
To solve 3x  4  5 , more than one operation is required.
1. _________
ISOLATE the variable and its ______________
COEFFICIENT
•
Use the ADDITION
___________ or _________________
SUBTRACTION Property of
Equality.
2.
•
Make the coefficient of the variable _______
ONE
MULTIPLICATION
Use the _______________________or
_______________
DIVISION
Property of Equality.
x3
Solve the following equations:
1) 2 x  3  5
2) 2 x  4  8
4  4
2 x  4
3  3
2x  8
2
2
2
3)
3x 1  2
1  1
3x  3
3 3
2
x  2
x4
x  1
Summary:
SUBTRACT FIRST!
ADD
STEP 1 :__________
or _____________
STEP 2: ____________
SECOND!
MULTIPLY or _____________
DIVIDE
Using an Equation as a Model
The fare for a taxicab is $5 per trip plus $0.50 per mile. The fare
for the trip from the airport to the convention center was $11.50.
Write and solve an equation to find how many miles the trip is
from the airport to the convention center.
Let m = # of miles
Complete Got It? #2 p. 96
5  .50m  11.50
5
5
.50m 6.50

.50
.50
m  13 miles
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Solving with Two Denominators
What is the solution of
Clear Fractions (multiply
everything by the LCD of
the denominator)
3𝑥−4
4
= 5?
3x  4
5
4
 3x  4

4
 5
 4

Simplify
3x  4  20
4
4
3x  24
Divide both sides by 3
3
Simplify
Add 4 to both sides
Simplify
3
x 8
1
Solve the following equation and justify your steps:
Solving Equations
Deductive ___________
Reasoning can be used
 ____________
 State your __________
and justify them using
Steps
___________,
Properties ____________
Definitions or ________
Rules
Steps
10  2 x  20
10
-10
2x 10
=
2 2
x5
Reasons
Subtraction Property of Equality
Simplify
1) 6  4 x  18
-6  6 Subtraction Property of Equality
4 x  12 Simplify
4
-4
Division Property of Equality
Simplify
x  3
____________
Division Property of Equality
Simplify
Homework: p.98 #13-21 odd, 25-39 odd, 45
2