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

2023
Views:

337

Pages:

1
Author:

Kevin Riddle

Mini-Lecture 2.1 Simplifying Algebraic Expressions Learning Objectives: 1. 2. 3. 4. Identify terms, like terms, and unlike terms. Combine like terms. Use the distributive property to remove parentheses. Write word phrases as algebraic expressions. Examples 1. Identify the numerical coefficient of each term. a) 9x b) -3y d) 2.7x2y c) -x Indicate whether the terms in each list are like or unlike. e) 6x, -3x 1 g) 5ab, − ba 2 f) -xy2, -x2y h) 2x3yz2 , -x3yz3 2. Simplify each expression by combining any like terms. a) 7x – 2x + 4 b) -9y + 2 – 1 + 6 + y – 7 c) 1.6x5 + 0.9x2 – 0.3x5 3. Simplify each expression. Use the distributive property to remove any parentheses. 1 c) b) -(-5m + 6n – 2p) a) 3(x + 6) ( 6x − 9) 3 Remove parentheses and simplify each expression. d) 14(2x + 6) – 4 e) 10a – 5 – 2(a – 3) f) 3(2x – 5) – (x + 7) 4. Write each phrase as an algebraic expression. Simplify if possible. a) Add -4y + 3 to 6y - 9 b) c) Triple a number, decreased by six d) Six times the sum of a number and two Subtract 2x –1 from 3x + 7 Teaching Notes: • • • • Students will need repeated practice with identifying terms and like terms. Some students do not know that a variable without a numerical coefficient actually has a coefficient of 1. Some students will forget to distribute the minus sign in 3b), 3e), and 3f). Some students might need to write a 1 in front of the parentheses in 3b) and 3f). Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) 9; 1b) -3; 1c) -1; 1d) 2.7; 1e) like; 1f) unlike; 1g) like; 1h) unlike; 2a) 5x+4; 2b) -8y; 2c) 1.3x5+0.9x2; 3a) 3x+18; 3b) 5m-6n+2p; 3c) 2x-3; 3d) 28x+80; 3e) 8a+1; 3f) 5x-22; 4a) (-4y+3) + (6y-9) = 2y-6; 4b) (3x+7) – (2x-1) = x + 8; 4c) 3x-6; 4d) 6(x + 2)