Mini-Lecture 7.2: Multiplying and Dividing Rational Expressions - Edubirdie

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

2023
Views:

123

Pages:

1
Author:

Killian Mata

Mini-Lecture 7.2 Multiplying and Dividing Rational Expressions Learning Objectives: 1. Multiply rational expressions. 2. Divide rational expressions. 3. Multiply or divided rational expressions. Examples: 1. Find each product and simplify if possible. a) 8p − 8 7p 2 i p 9p − 9 b) x 2 + 5x + 6 i x 2 + 8x c) x + 11x + 24 x − 4x + 3 2 2 x3 − x 2 + x x +1 3 i −45x − 45 5x 2. Find each quotient and simplify. a) −4k 2 4k 5 ÷ 16k 4 b) 12k 6 2 − 2x 5x − 5 ÷ x 3x 2 c) y 2 − 11y + 30 y 2 − 36 ÷ y2 − 9 y 2 − 3y − 18 3. Multiply or divide. Simplify if possible. a) x 2 − 11x + 10 x 2 − 11x + 28 i x 2 − 9x + 20 x 2 − 16x + 60 b) 2k 2 + 8k + 6 4k 2 + 18k + 14 ÷ 2k − 6 k2 − 9 Teaching Notes: • • • • Many students need to review multiplying and dividing numerical fractions. When dividing, remind students to change division to multiplication by the reciprocal first, then begin factoring. Many students will begin factoring and forget that they are dividing. Some students will need additional practice using unit fractions. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. 56 p x( x + 2) −3 −6 x ( y − 5)( y − 6) ; 1b) ; 1c) -9; 2a) ; 2b) ; 2c) ; 9 4k 5 ( x − 3)( x − 1) ( y + 6)( y − 3) ( x − 5)( x − 1) 2 ; 3b) ; 3a) 2k + 7 ( x − 6)( x − 7) Answers: 1a)

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