1. C. A. Warm Up 9/8/14 Write the question: 1.How many feet per second is 80 miles per hour? 2.Harold and Kumar are digging up treasure. Harold can dig the treasure up in 4 hours and Kumar can dig it up in 5 hours. How long will it take for them to dig it up together? 3.What is the sum of the coefficients in the following expression: 5x + y + 3z 4.The perimeter of a rectangle is 40 inches. The length is 4 more than twice the width. What is the width of the rectangle?

2. REI.1: EXPLAIN EACH STEP IN SOLVING A SIMPLE EQUATION Sept. 8 th, 2014

3. The Properties of Operations Here a, b, and c stand for arbitrary numbers in a given number system. Name of the PropertyUsing a, b, and cExample Associative Property of addition Commutative Property of addition Additive Identity Property Additive Inverse

4. Name of PropertyUsing a, b, and cExample Associative Property of multiplication Commutative Property of multiplication Multiplicative Identity Property Multiplicative Inverse Distributive Property of multiplication over addition

5. Examples: Identify which property each of the following is: 7 + 3 = 3 + 7 7 × 1 = 7 (3 + 4) + 5 = 3 + (4 + 5) 3 × 1/3 = 1 1 + (-1) = 0 (5 × 6) × 7 = 5 × (6 × 7) 7 × 4 = 4 × 7 2 (4 + 5) = 2 × 4 + 2 × 5 8 + 0 = 8

6. The Properties of Operations Here a, b, and c stand for arbitrary numbers in a given number system. Name of the PropertyUsing a, b, and cExample Reflexive Property of equality Symmetric Property of equality Transitive Property of equality Addition Property of equality

7. The Properties of Operations Here a, b, and c stand for arbitrary numbers in a given number system. Name of the PropertyUsing a, b, and cExample Subtraction Property of equality Multiplication Property of equality Division Property of equality Substitution Property of equality

8. Examples: Identify which property each of the following is: x = x If x = 5 and x = y + 3, then 5 = y + 3 If x = 5, then 2 × x = 2 × 5 If x = 5, then 5 = x If x = 5, then x + 3 = 5 + 3 If x = 5, then x – 4 = 5 – 4 If x = 5, then x/2 = 5/2 If x = 5 and y = 3x + 4, then y = 3(5) + 4

9. Equation to be solved Written Step (including property used) 2(3x + 5) = 22 6x + 10 = 22 - 10 - 10 6x = 12 6 6 x = 2

10. Complete the REI.1 Assignment Worksheet 9/8/14