Download 9.2 The Multiplication Property of Equality Learning Objectives: 1

9.2 The Multiplication Property of Equality Learning Objectives: 1. Use the multiplication property of equality to solve linear equations. 2. Use both the addition and multiplication properties of equality to solve linear equations. 3. Write word phrases as algebraic expressions. 1. Using the Multiplication Property Multiplication Property of Equality: If a = b then ac = bc where a, b and c are any real numbers. Example 1. Solve the following linear equations. 1. 2. y
= 2.5 − 11
− 5.8 x + 1.9 = −32.5 − 1.5 x 2. Use both the addition and multiplication properties of equality to solve linear equations Example 2. Solve the following linear equations. 1. 4(4 x − 1) = −8 − (− 24 ) 3. Writing Algebraic Expressions 1st number
2nd number 3rd number 4th number Consecutive number Consecutive even number Consecutive odd number x x x x + 1 x + 2 x + 2 x + 2 x + 4 x + 4 x + 3 x+6 x +6 Example 3. Write each algebraic expression described. Simplify if possible. 1. If x represents the first of two consecutive even integers, express the sum of the two integers in terms of x. 2. If y represents the first of three consecutive odd integers, express the sum of the first and third integer in terms of y. ***************************************************************************************************** Read sections: 9.3/9.5