1. Warm-up Use the distributive property to rewrite the expression without parentheses. 1.) 8(x + 5)2.) 4(y – 7)3.) (x – 4)(2) 4.) –6(r – 1)5.) (m – 7)( –3) 6.) –12(3 + n)

2. Warm-up continued 7.) (x)(x + 3)8.) (–a)(a + 3)9.) (2x + 1)(5x)

3. Algebra 1 Unit 1 Section 1.5 Notes: Equations

4. Open Sentence: a mathematical statement with one or more variables. Equation: a mathematical sentence that contains an equals sign, =.

5. Solving an open sentence: Finding a replacement value for the variable that results in a true sentence or an ordered pair that results in a true statement when substitute into the equation. Solution: a replacement value for the variable in an open sentence. Replacement Set: a set of numbers from which replacements for a variable may be chosen.

6. Set: a collection of objects or numbers that is often shown using braces. Element: Each object or number in the set. Solution Set: the set of elements from the replacement set that make an open sentence true.

7. Example 1

8. Example 1 Continued

9. Example 2

10. Example 3: Solve each equation.

11. Example 4

12. Example 5 a) Dalila pays $16 per month for a gym membership. In addition, she pays $2 per Pilates class. Write and solve an equation to find the total amount Dalila spent this month if she took 12 Pilates classes.

13. Example 5 Continued b) Amelia drives an average of 65 miles per hour. Write and solve an equation to find the time it will take her to drive 36 miles.

14. Exit Slip Complete problems #2, 5, 8, 11, & 12 in your workbook. Raise your hand when you finish and I’ll come by to check your answers