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
x4
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
x4
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