Solving EquationsSolving Equations

What???What???Why???Why???How???How???

By: Lori EdwardsBy: Lori Edwards

What Will I Learn?What Will I Learn?

solve equations using equality propertiessolve equations using equality properties..

Solve equations using both equality propertiesSolve equations using both equality properties

Why Should I Learn Why Should I Learn Algebra?Algebra?

To get a job. Not all jobs using To get a job. Not all jobs using algebra are boring!algebra are boring!

Fun jobs

Computer programmer

Chef

Airplane maintenance

Nurse

Shopping specialist

Comparing Solving Equations Comparing Solving Equations to Real Life Situations!to Real Life Situations!

Be FAIR!!!Be FAIR!!!

My brother got more. Not fair or My brother got more. Not fair or equal.equal.

Scales –one side is heavier, both Scales –one side is heavier, both sides don’t weigh the same.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 EqualityThe Addition Property of Equality

X = 7 X = 7

________________________________

= 2= 2

OrOr

X = 2X = 2

Get X by itself

Do the oppositeThe opposite of + 5

is - 5

X + 0 is…X

+ 5

- 5- 5

X + 0

Another Example…

-6 = y

_______________

2 =

Or

2 = y

Get X by itself

Do the opposite

The opposite of -8 is +8

Y + 0 is ….y

- 8

+8+8

y + 0

The Multiplication Property of Equality

- 12 x = 72Get x by

itself______

-12_____

-12 The opposite of multiplying is

dividing

X = - 6 -12 ÷ -12 = 1 (you are left with

only 1x)

72 ÷ -12 = - 6

Try Again…Get x by itself

(-8)

(y is being divided by -8)…

so multiply

Y = 11

- 8

y = 11 -8

(-8) Multiply both sides of the equation by -8

You get…..

Y = -88

Because… the -8’s cancel out

and leave 1y or just y

and 11 times -8 is -88

Using Both Properties!

- 5X + 6 = -16Get x by itself Get rid of the +6 by subtracting Get rid of the -5 by dividing

- 6 - 6____________________________

- 5 x = - 22

- 5 - 5You are left with…

x = +22 5

Fun Facts!!!Fun Facts!!!

Works citedWorks cited