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?

REI.1: EXPLAIN EACH STEP IN SOLVING A SIMPLE EQUATION

Sept. 8th, 2014

The Properties of OperationsHere a, b, and c stand for arbitrary numbers in a given number system.

Name of the Property Using a, b, and c Example

Associative Property of addition

Commutative Property of addition

Additive Identity Property

Additive Inverse

Name of Property Using a, b, and c Example

Associative Property of multiplication

Commutative Property of multiplication

Multiplicative Identity Property

Multiplicative Inverse

Distributive Property of multiplication over addition

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

The Properties of OperationsHere a, b, and c stand for arbitrary numbers in a given number system.

Name of the Property Using a, b, and c Example

Reflexive Property of equality

Symmetric Property of equality

Transitive Property of equality

Addition Property of equality

The Properties of OperationsHere a, b, and c stand for arbitrary numbers in a given number system.

Name of the Property Using a, b, and c Example

Subtraction Property of equality

Multiplication Property of equality

Division Property of equality

Substitution Property of equality

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

Equation to be solved Written Step (including property used)

2(3x + 5) = 22

6x + 10 = 22 - 10 - 10

6x = 12 6 6

x = 2

Complete the REI.1 Assignment Worksheet

9/8/14