 Equation: A statement that two expressions are =  Linear Equation: Can be written in the form ax + b = 0 (a and b are coefficients and a≠0)

 Addition Property of Equality  Subtraction Property of Equality  Multiplication Property of Equality  Division Property of Equality

 Your goal when solving for a variable is to isolate that variable on one side.  To move something to the other side of the = sign, simply use the opposite operation.

 x + 8 = 11  y – 4 = 7  5d = 30  ½x = 25

 1 = 1/3a – 5  3 = 2p + 5  7 – 5/3c = 22

 5w + 2 = 2w + 5  p + 5 = 25 – 4p  17 – 6r = 25 – 3r

 2(b + 3) = 4b – 2  10(w – 4) = 4(w + 4) + 4w

 Look at problems 63 and 65

 Solution: A number is a solution of an equation if substituting the variable results in a true statement  Example: n + 3 = 5, 2 is a solution because substituting 2 gives a true statement (2) + 3 = 5 5 = 5  Equivalent equations have the same solutions

 You are a waiter/waitress at a restaurant. You earn $30 for your shift, but you also get an additional 15% in tips on customers’ food bills. You leave with $105 for the day. What was the total of the customers’ food bills?

 The bill for the repair of your bicycle was $180. The cost of parts was $105. The cost of labor was $25 per hour. How many hours did the repair work take?

 It takes you 8 minutes to wash a car and it takes a friend 6 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together?

 It takes you 45 mins to mow your lawn and it takes your brother 30 mins to mow the lawn. How long does it take you to mow the lawn if you have two mowers and work together?

 What are you allowed to do to an equation?  When solving for a variable, what is your goal?  You should never get the answers wrong when solving for linear equations. Why?

 even, 68, 70, 71, 73, 75 – 77  Bonus: 67, 78