Download Solving Multi-step Equations

Warm up
Solve the following for the indicated variable:
1. 3x  8  14
2. 2  4 x  18
x
 5  8
3.
3
x
4. 2(  15)  48
2
Warm up Answers
1.
x  2
2.
x 5
x  9
4. x  18
3.
Lesson 2.3
Solving 2+ Step Equations
Let’s Review….
What are one step and two
step equations?
An equation that can be solved with only
one or two mathematical operations.
When there are more steps, we call it a
multi-step equation.
Solving Multi-step Equations
The goal is still to get the variable by itself!
Is that always possible?
There are actually three different
possible outcomes when solving for
a variable.
1. One solution
2. No Solutions
3. Infinitely Many Solutions
Let’s try some examples…
Solve the following for the indicated variable:
4x  10  2x  6
x = -8
5 y  2 y 1  3 y  2
No Solution
20  x  19  2x
X=
1
3
 2  4r  7  5  4r
Infinitely Many Solutions
Your Turn…
Solve the following for the indicated variable:
4x  8
 10
2
x = -7
3n
8
 13
12
n = 20
3(a  1)  5  3a  2
Infinitely many Solutions
5
3
t t  3 t
2
2
No Solutions
Summary
List all possible outcomes when
solving multi-step equations.
Classwork: Worksheet 3.4B
Homework: Worksheet 3.4B