objectives: 1. to solve equations 2. to solve problems by writing equation

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1-3 Solving Equations Objectives: 1. To solve equations 2. To solve problems by writing equation

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Page 1: Objectives: 1. To solve equations 2. To solve problems by writing equation

1-3 Solving Equations

Objectives:1. To solve equations

2. To solve problems by writing equation

Page 2: Objectives: 1. To solve equations 2. To solve problems by writing equation

Equation A number that makes an equation true is a

solution of the equation.

Page 3: Objectives: 1. To solve equations 2. To solve problems by writing equation

Properties of Equality𝐿𝑒𝑡𝑎 ,𝑏 ,∧𝑐 𝑟𝑒𝑝𝑟𝑒𝑠𝑒𝑛𝑡𝑟𝑒𝑎𝑙𝑛𝑢𝑚𝑏𝑒𝑟𝑠

Reflexive Property

Symmetric Property

Transitive Property

Addition Property

Subtraction Property

Multiplication Property

Division Property

Substitution Property

Page 4: Objectives: 1. To solve equations 2. To solve problems by writing equation

Example 1: Solve the equation

a) b)

Page 5: Objectives: 1. To solve equations 2. To solve problems by writing equation

Example 2: Solve the formula for

a)

Page 6: Objectives: 1. To solve equations 2. To solve problems by writing equation

Example 3: Solve the equation for and find any

restrictions on .a) b)

Page 7: Objectives: 1. To solve equations 2. To solve problems by writing equation

Example 4: Write and solve an equation for the real-

world problem.a) A dog kennel owner has 100ft of fencing to enclose a rectangular dog run. She wants it to be 5 times as long as it is wide. Find the dimensions of the dog run.

Page 8: Objectives: 1. To solve equations 2. To solve problems by writing equation

TRIVIA…

1. What movies gives the famous quote, “Houston we have a problem.”Apollo 13

2. What was Cinderella's coach made from?

A pumpkin

3. In 1993 Michael Jordan gave up basketball to try which sport?Baseball

Page 9: Objectives: 1. To solve equations 2. To solve problems by writing equation

Example 5: Use ratios to set up a picture, an

equation, and then solve.a) The sides of a quadrilateral are in the ratio . The perimeter is . Find the lengths of the sides. Round your answers to the nearest tenth.

Page 10: Objectives: 1. To solve equations 2. To solve problems by writing equation

Example 6a) Radar detected an unidentified plane miles away, approaching at . Fifteen minutes later an interceptor plane was dispatched, traveling at . How long did the interceptor take to reach the approaching plane.

Page 11: Objectives: 1. To solve equations 2. To solve problems by writing equation

Homework P 21 – 23: 6, 8, 10, 16, 18, 24, 28, 30, 32, 34, 46, 50, 60