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2016-09-05 Inverse Operations Solving Equations using Inverse Operations 6.1 Example 1 Solve each equation using inverse operations. b) 20 + x = 32 a) k - 18 = 13 Example 3 Solve for "x" using inverse operation. a) Three times a number is -3.6 What is an inverse operation? Operations that undo each other. Examples? - Adding and Subtracting - Multiplying and Dividing - Squaring and taking the square root Example 2 Solve and Verify. a) 4.5d - 3.2 = -18.5 b) + 3 = 7.2 Example 5 b) A number divided by 4 is 1.5 Seven percent of a number is 56.7. Write and solve equation then verify. 1 2016-09-05 Homework Page 272 Solving Equations using Balance Strategies #5c 6c 8abde 10bcd 18ace 19 6.2 Review Example 1 (Exit Presentation Mode) Solve. 5x + 3 = 13 a) Solve 3x + 2 = 6 + x using balance scales AND algebra. X Example 2 (Exit Presentation Mode) Example 1 (Exit Presentation Mode) Solve -2n + 5 = 3n – 5 using algebra tiles AND algebra. b) Solve 3x + 4 = 10 + x using balance scales AND algebra. X 2 2016-09-05 Example 3 Solve and Verify. Example 5 Solve and Verify. Example 4 Solve and Verify. Example 6 Two rental halls are considered for a wedding: Hall A - $50/person Hall B - $2000, plus $40/person Determine the number of people for which the halls will cost the same to rent. a) Model this problem with an equation. b) Solve the problem. Homework Page 280 #4a 5 11cd 15ab 18 19ac Review Study Guide: - Solve for variables using: - Tiles - Scales - Algebra 3 2016-09-05 Review Practice Quiz! Review Kahoot! Homework Page 286 #2 3 5ab 6 7efg 8 Introduction to Linear Equations 6.3 Inequalities Inequality is used to model a situation that can be described by a range numbers. Inequalities Inequality signs: Less Than < Less Than or Equal to ≤ Greater Than > Greater Than or Equal to ≥ 4 2016-09-05 Example 1 Definition Graphing on a number line: - includes point: use whenever you have an equal sign. - excludes point: use when you do not have an equal to sign. Example 1 Example 1 Graph the following: a) Less than or equal to 4 Graph the following: c) b) Less than 4 d) Homework Page 292 #3acegh 5bef 9afh 11 12bc 13cf Solving Linear Inequalities by using Addition and Subtraction 6.4 5 2016-09-05 Review Graph the following: X<7 Example 1 Solve, test and graph the following: Example 3 Solve, test and graph the following: Solving Inequalities Solve inequalities exactly as you solve equations except: - Change the sign when you multiply/divide by a negative. Example 2 Solve, test and graph the following: Example 4 A store is offering Beanie Babies on sale for $12.50, including tax. Sean has set his spending limit at $80. How many Beanie Babies can he buy and stay within the limit? a) Write an inequality to model the problem. b) Solve the inequality and interpret the solution. 6 2016-09-05 Homework Page 298 #4ae 7d 8df 9cdf 12 14 Solving Linear Inequalities using Multiplication and Division 6.5 6.3-6.5 Quiz Coming Soon Review Solve, test and graph the following: 3–d>5 Example 2 Solve, test and graph the following: Example 1 Solve, test and graph the following: Example 3 Solve, test and graph the following: 7 2016-09-05 Example 4 Homework Page 305 Example 5 Solve, test and graph the following: Review 6.4-6.5 Worksheet #4ae 7d 8df 9cdf 12 14 Homework Page 308 #2 3ad 4 5 6 7aef 8 11 15 16df 8