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

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Page 1: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Page 2: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

1.3

Solving Equations

Page 3: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Properties

Reflexive:

Symmetric:

Transitive:

Substitution:

aa

abthenbaIf ,

cathencbandbaIf ,

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

Page 4: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Properties

Addition:

Subtraction:

Multiplication:

Division:

cbcathenbaIf

cbcathenbaIf

bcacthenbaIf

0; cc

b

c

athenbaIf

Page 5: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Solving

Solve: 4784813 yy

Page 6: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Solving

Solve: tt 4932

Page 7: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Solving

Solve: )92(3)132(73 xxx

Page 8: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Solving

Solve: 706)3(2 y

Page 9: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Solving for a variable

Solve for h: )(2

121 bbhA

Page 10: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Solving for a variable

Solve for b1: )(2

121 bbhA

Page 11: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

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?

Page 12: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Application

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

Page 13: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

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?

Page 14: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

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?

Page 15: 1.3 Solving Equations Properties Reflexive: Symmetric: Transitive: Substitution: If a = b, then b can be substituted anywhere for a

Homework

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

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Unit 2 Review - My Math Class...gcmath.weebly.com/uploads/2/1/1/5/21159736/unit_2_review.pdf · UNIT 2 REVIEW ANSWERS 1) Reflexive Property of Equality 2) Transitive Property of Congruence

Learning Targets I can define a reflexive verb I can identify reflexive pronouns I know placement of reflexive pronouns I can conjugate a reflexive verb

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1 RELATIONS Learning outcomes Students are able to: a. determine the properties of relations – reflexive, symmetric, transitive, and antisymmetric b. determine

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