1. 1.3 Open Sentences

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

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

4. Example #2
Solve

5. 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}

6. 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) + .50v < 15
v < 15
Replacement set
v = 2, 3, 4, 5
Greatest number of video games = 4

7. 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

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

9. Example #2
Evaluate

10. Homework Assignment #3 Practice Worksheet 1.3 even
p odd, 27-31