objectives: 1. to solve equations 2. to solve problems by writing equation
TRANSCRIPT
1-3 Solving Equations
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.
Properties of Equality𝐿𝑒𝑡𝑎 ,𝑏 ,∧𝑐 𝑟𝑒𝑝𝑟𝑒𝑠𝑒𝑛𝑡𝑟𝑒𝑎𝑙𝑛𝑢𝑚𝑏𝑒𝑟𝑠
Reflexive Property
Symmetric Property
Transitive Property
Addition Property
Subtraction Property
Multiplication Property
Division Property
Substitution Property
Example 1: Solve the equation
a) b)
Example 2: Solve the formula for
a)
Example 3: Solve the equation for and find any
restrictions on .a) b)
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.
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
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.
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.
Homework P 21 – 23: 6, 8, 10, 16, 18, 24, 28, 30, 32, 34, 46, 50, 60