Transcript 2.3 Notes Solving Multi

Lesson 2-3
Solving Multi-Step
Equations
* Use two or more
transformations to solve an
equation
Remember solving an equation is a
balancing act.
What you do
to one side
you have to
do to the
other!!
Example #1
1
x  6  8
3
6 6
1
x  14
3
x  42
Example #2
7 x  3x  8  24
4x  8  24
 8  8
4x  32
4
4
x 8
Example #3
4 x  3( x  2)  21
4x  3x  6  21
x  6  21
 6  6
x  15
Example #4
6
66 
( x  3)
5
 55  x  3
-3
-3
Try to solve this on
your own
What are some ways
you started this
problem?
x  58
Multiply by 5
Multiply by the
reciprocal
Example #5
Find three consecutive integers whose sum is 33.
Define the Variable
Are we finished???
Let x = first number
Let x + 1 = second number The three integers
Let x + 2 = third number
are 10, 11, and 12
Write an Equation
Solve:
Now we are finished
Example #6
Jason bought 5 movie tickets and a bag of
popcorn
popcorn. Steve bought 2 movie tickets
tickets.
total If the popcorn costs
They spent $54 total.
$5, how much did each movie ticket cost?
$5
Step 1:
Step 2:
Step 3:
Step 4:
Circle “what your are solving for”
Define a variable
Let t = cost of one movie ticket
Highlight important information
Draw a diagram
Let t = cost of one movie ticket
5t
$54 total
5
Step 5: Write the Equation
Step 6: Solve and label
2t