Basic Equations Properties: 1. 2. A linear equation is an equation that can be written in the form ax + b = 0 where a and b are real numbers and x is a variable.

Ex 1: Solve. Ex 2: Solve.

Ex 3: Solve. Ex 4: Solve.

xn = a has the solution if n is odd and if n is even and a ≥ 0. If n is even and a < 0, the equation has no real solution. Ex 5: a. b. Ex 6: a. b.

Ex 7: Solve.

Guidelines for Modeling (pg 83) 1. Identify a variable 2. Express unknowns in terms of the variable. 3. Set up a model. 4. Solve the equation and check the solution.

Ex 1: A car rental company charges $30 per day and Ex 1: A car rental company charges $30 per day and 15¢ per mile for renting a car. Helen rents a car for two days and her bill comes to $108. How many miles did she drive?

Ex 4: A square garden has a walkway 3 ft wide. around its outer edge Ex 4: A square garden has a walkway 3 ft wide around its outer edge. If the entire garden, including the walkway, is 18,000 ft2, what are the dimensions of the planted area?

Ex 6: A manufacturer of soft drinks advertises their Ex 6: A manufacturer of soft drinks advertises their orange soda as “naturally flavored,” although it contains only 5% orange juice. A new federal regulation stipulates that to be called “natural” a drink must contain at least 10% fruit juice. How much pure orange juice must this manufacturer add to 900 gal of orange soda to conform to the new regulation?

Assignment #7: S 1.1/1.2: pg 81 #9-12,16,19,24,30,32,33,41,42,47,52,59 pg 92 #13,25,26,28,38