Solving Multi-step Equations by Combining Like Terms
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Transcript Solving Multi-step Equations by Combining Like Terms
Solving Multi-step Equations
by Combining Like Terms
and with
Variables on Both Sides
• Getting rid of fractions.
– To get rid of a fraction from
Simplifying
an equation multiply each
equations
term by the LCD.
involves three
steps.
• Getting rid of parentheses.
– To get rid of parentheses
from an equation, distribute.
This lesson focuses on
this part.
• Getting rid of like terms
that are on the same side
of the equal sign.
– Combine like terms by
adding or subtracting using
your integer rules.
To SIMPLIFY use this
checklist.
Ex. 1
4 x 9 x 4
5x 4
5
5
x
4
5
• Any fractions?
– NO
• Any ( )
– NO
• Any like terms
– YES – use integer
rules.
• Now SOLVE
Ex. 2
3 2 x 10 8 x
3 2 x 8 x 10
3 10x 10
10
10
7 10x
10 10
7
x
10
To SIMPLIFY use this
checklist.
• Any fractions?
– NO
• Any ( )
– NO
• Any like terms
– YES – Combine
them using Integer
rules.
• Now ISOLATE the
variable
• and SOLVE
Ex. 3
5x 8 x 6
x
x
4x 8 6
8 8
4x 2
4
4
2
x4
1
x
2
To SIMPLIFY use this
checklist.
• Any fractions?
– NO
• Any ( )
– NO
• Any like terms
– NO
• So ISOLATE the
variables. Get
them together on
the same side
• Now SOLVE
– And reduce
Ex. 4
3 x 5 7 x 21
7x
7x
4x 5 21
5
5
4x 16
4
4
x4
To SIMPLIFY use this
checklist.
• Any fractions?
– NO
• Any ( )
– NO
• Any like terms
– NO
• So ISOLATE the
variables. Get
them together on
the same side
• Now SOLVE
Ex. 5
To SIMPLIFY use this
checklist.
5 x 21 7 x 21 2
5 x 7 x 21 21 2
2x 42 2
• Any fractions?
42 42
2x 44
2
2
x 22
– NO
• Any ( )
– NO
• Any like terms
– YES – Regroup
then use integer
rules.
• Now SOLVE
To SIMPLIFY use this
checklist.
Ex. 6
21x 4 14x 1 3
21x 14 x 4 1 3
35x 3 3
3 3
35x 0
35
35
x
0
• Any fractions?
– NO
• Any ( )
– NO
• Any like terms
– YES – Regroup
then use integer
rules.
• Now ISOLATE
• and SOLVE