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Chapter 3: Solving Equations 3.1 Solving Two-Step Equations Solving equations with algebra tiles • 3x – 2 = 4 model the equation Example 1 • Solve and justify each step: m 10 2 4 Example 1a • Solve the equation and justify each step: 7 2y 3 Example 1b • Solve the equation and justify each step: x 15 12 9 Example 1c • Solve the equation and justify each step: x 15 12 Example 2 • A music store sells a copy of a deluxe electric guitar for $295. This is $30 more than 1/3 the cost of the deluxe electric guitar it is modeled after. What is the cost of the deluxe electric guitar? Example 2a • Suppose your high school’s baseball team scored 5 runs in Saturday’s game. This was four more than ½ the runs scored by the opposing team. How many runs did the opposing team score? Example 3 • In a catalog, tulips cost $0.75 each and shipping costs are $3.00. Write a rule that describes the amount spent as a function of the number of bulbs ordered. Then determine the greatest number of bulbs that you can order for $14. Example 3b • Mrs. Simmons works at a furniture store. Her base salary is $125 a week plus 1/12 of her sales. Write a rule that describes her total weekly salary as a function of her sales. Then find the amount of her sales if her total weekly salary is $255. Example 4 • Solve and justify each step: k 1 5 12 Example 4a • Solve and justify each step: 9 4m 3 Homework • P. 122 • 4, 8, 12, 16, 20, 22, 24, 28, 32, 36, 40, 48, 54 • ALL equations must have steps justified!!