Solving Equations - Etiwanda E

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Transcript Solving Equations - Etiwanda E

Solving Equations
What???
Why???
How???
By: Lori Edwards
What Will I Learn?


solve equations using equality properties.
Solve equations using both equality properties
Why Should I Learn Algebra?
To get a job. Not all jobs using algebra are boring!
Fun jobs
Computer programmer
Chef
Airplane maintenance
Nurse
Shopping specialist
Comparing Solving Equations to Real Life
Situations!

Be FAIR!!!

My brother got more. Not fair or equal.

Scales –one side is heavier, both sides don’t weigh the same.
What Skills Do I Need To
Know?

What does opposite mean: (+/-)
(x/÷)
+, -, x, and ÷ Integers
The Addition Property of Equality
X +5 =
7
- 5
-5
________________
X + 0 = 2
Or
X+0
is…X
X =2
 Get X by
itself
 Do the opposite
The opposite of + 5
is - 5
Another Example…
-6 = y - 8
+8
+8
_______________
2 =
y + 0
Or
Y + 0
2 = y
is ….y
 Get X by
itself
 Do the
opposite
The opposite
of -8 is +8
The Multiplication Property of Equality
- 12 x = 72
______
_____
-12
-12
X = -6
Get x by
itself
The opposite of
multiplying is
dividing
 -12 ÷ -12 = 1
(you are left with
only 1x)
72 ÷ -12 = - 6
Try Again…
Get x by itself
Y = 11
-8
(-8)
 (y is being
divided by 8)…so multiply
y = 11 (-8)
-8
You get…..
Y = -88
Multiply both sides of
the equation by -8
Because… the 8’s cancel out
and leave 1y or
just y
and
11 times
-8 is -88
Using Both Properties!
- 5X + 6 = -16
-6
-6
Get x by itself
 Get rid of the +6 by subtracting
 Get rid of the -5 by dividing
____________________________
-5x
-5
You are left with…
x = +22
5
= - 22
-5
Fun Facts!!!
Works cited