University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

240

Pages:

1
Author:

Annalise Mayer

Mini-Lecture 2.3 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. Examples: 1. Use the multiplication property of equality to solve the following linear equations. Check each solution. a) -8x = -24 e) 2 a = 12 5 b) 7x = 0 f) y = 2.5 −11 c) -z = 19 g) −3 b=0 8 d) 3x = -22 h) -10.2 = -3.4c 2. Use the addition property of equality and the multiplication property of equality to solve the following linear equations. Check each solution. a) 5 x + 6 = 46 b) e) -5.8z + 1.9 = -32.5 – 1.5z a − 7 = 11 9 c) -24 = -3x – 9 f) 8y + 7 = 6 – 2y – 10 y d) 1 1 y − = −6 3 3 g) 4(4x – 1) = (-8) – (-24) 3. Write each algebraic expression described. Simplify if possible. a) If z represents the first of two consecutive even integers, express the sum of the two integers in terms of z. b) If x represents the first of three consecutive even integers, express the sum of the first and third integer in terms of x. c) Houses on one side of a street are all numbered using consecutive odd integers. If the first house on the street is numbered x, write an expression in x for the sum of five house numbers in a row. Teaching Notes: • • • • Review “like terms” with students. Many students do not combine like terms before using one of the properties. Encourage students to always take the time to check their solution. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) 3; 1b) 0; 1c) -19; 1d) -22/3; 1e) 30; 1f) -27.5; 1g) 0; 1h) 3; 2a) 8; 2b) 162; 2c) 5; 2d) -17; 2e) 8; 2f) -1/20; 2g) 5/4; 3a) 2z+2; 3b) 2x+4; 3c) 5x+20