1.3 solving equations properties reflexive: symmetric: transitive: substitution: if a = b, then b...

1.3

Solving Equations

Properties

Reflexive:

Symmetric:

Transitive:

Substitution:

aa

abthenbaIf ,

cathencbandbaIf ,

If a = b, then b can be substituted anywhere for a

Properties

Addition:

Subtraction:

Multiplication:

Division:

cbcathenbaIf

cbcathenbaIf

bcacthenbaIf

0; cc

b

c

athenbaIf

Solving

Solve: 4784813 yy

Solving

Solve: tt 4932

Solving

Solve: )92(3)132(73 xxx

Solving

Solve: 706)3(2 y

Solving for a variable

Solve for h: )(2

121 bbhA

Solving for a variable

Solve for b1: )(2

121 bbhA

Application

A dog kennel owner has 100 ft of fencing to enclose a rectangular dog run. If the owner wants it to be 5 times longer than wide, what are the dimensions?

Application

The measures of the angles of a triangle are in the ratio of 4:5:6. Find the measure of all three angles.

Application

Two cars leave a house at the same time traveling opposite directions. One car travels at 35mph while the other travels at 45mph. How long will it take them to be 200 miles apart?

Exit Slip

I gave 3 examples of real-world application. What other situations can you think of that would require the same type of application?

Homework

8/27: #1 Rules8/28: No Homework8/24: #2 Wkst 1.3