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

2023
Views:

386

Pages:

1
Author:

sommatosmby

Mini-Lecture 2.2 The Addition Property of Equality Learning Objectives: 1. Define linear equations and use the addition property of equality to solve linear equations 2. Write word phrases as algebraic expressions. Examples: 1. Solve each equation. Check each solution. a) y – 6 = 18 b) -18 = t – 5 c) 8.1 + y = 13.9 d) a + 2 3 =− 3 4 Solve each equation. If possible, be sure to first simplify each side of the equation. Check each solution. e) 5(y + 2) = 6(y – 3) f) 10x = 4x + 9 + 5x g) -8z + 5 + 6z = -3z + 10 h) 1 1 5 1 i) − x − = x + 6 3 6 2 j) -14.9 + 4a – 2.7 + 2a = 5.1 + 7a + 1.5 -5x + 4 + 6x = 15 - 28 2. Write each algebraic expression described. a) Two numbers have a sum of 72. If one number is z, express the other number in terms of z. b) During a recent marathon, Tom ran 8 more miles than Judy ran. If Judy ran x miles, how many miles did Tom run? c) On a recent car trip, Raymond drove x miles on day one. On day two, he drove 170 miles more than he did on day one. How many miles, in terms of x, did Raymond drive for both days combined? Teaching Notes: • • • • • Some students need a quick review of “like terms”. Advise students to write out each step until they have mastered this concept. Avoid shortcuts! Some students need to be taught how to work a problem in sequential order showing each step. Encourage students to take their time and organize their work. This will help when the problems become more complex. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) 24; 1b) -13; 1c) 5.8; 1d) -17/12; 1e) 28; 1f) 9; 1g) 5; 1h) -17; 1i) -5/6; 1j) 11; 2a) 72 – z; 2b) x+8; 2c) 2x+ 170