1 3 Open Sentences Vocabulary find the definition

1. 3 Open Sentences

Vocabulary – find the definition for each word and add to your notes § § § § Open Sentence Solution Equation Replacement Set Element Solution Set

Example #1: Find the solution set for each equation if the replacement set is {3, 4, 5, 6, 7} § A) 6 n + 7 = 37 § Replace n with each of the numbers from the replacement set to see which one(s) work. Solution set = {5} § B) 5(x + 2) = 40 Solution set = {6}

Example #2 § Solve

Inequality – find definition and add to your notes § Inequalities can be solved in the same way as equations. § Example #3: Meagan had $18. After she went to the used bookstore, she had less than $10 left. Could she have spent $8, $9, $10, $11? Find the solution set for 18 – y < 10 if the replacement set is {8, 9, 10, 11}. Solution Set = {9, 10, 11}

Example #4 § Trevor and his brother have a total of $15. They plan to buy 2 movie tickets at $6. 50 each and then play video games in the arcade for $0. 50 each. Write and solve an inequality to find the greatest number of video games v that they can play. 2(6. 50) +. 50 v < 15 13 +. 50 v < 15 Replacement set v = 2, 3, 4, 5 Greatest number of video games = 4

1. 4 Identity and Equality Properties § § § Vocabulary definitions to add to notes Additive Identity Additive Inverses Multiplicative Identity Multiplicative Property of Zero Multiplicative Inverse or Reciprocals

Example #1 § Find the value of n in each equation. Then name the property that is used. § A) n=1 Multiplicative Identity § B) n = 1/9 Multiplicative Inverse

Example #2 § Evaluate

Homework Assignment #3 § Practice Worksheet 1. 3 even § p. 23 9 -23 odd, 27 -31