Mini-Lecture 7.4: Adding and Subtracting Rational Expressions with Unlike Denominators | Lecture Note - Edubirdie

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

2023
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42

Pages:

1
Author:

shokoa5oyn

Mini-Lecture 7.4 Adding and Subtracting Rational Expressions With Unlike Denominators Learning Objectives: 1. Add and subtract rational expressions with unlike denominators. Examples: 1. Perform each indicated operation. Simplify if possible. x 8 + 9 7 a) 6 d) z 2 − 4 z g) −8x + 3 −8x + 2 + x 5x j) −5 7 − y−4 4−y l) x x − 16 2 − b) x 3 − 5 11 c) − e) 5 9 + r r −3 f) 9 − 5y 8 − 7y − 63 18 h) 6x 3 + x+6 x −6 i) 7 2 + 6−m m−6 k) 6 x + 5x + 4 2 m) m−5 m + 9m + 20 2 3 y − 3y + 2 2 + + 9 2 − 40 5x 4m − 1 m + 7m + 10 2 5 y −1 2 Teaching Notes: • • • • Most students have difficulty with adding and subtracting rational expressions, mainly with finding the LCD. Remind students that with subtraction, they are subtracting the entire numerator (i.e. Distributive Property). Some students may find working in a vertical format easier to build equivalent expressions. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. 7 x + 72 11x − 15 −9 x − 16 6 − 4z 14r − 15 39 y − 38 ; 1b) ; 1c) ; 1d) ; 1e) ; 1f) ; 2 2 126 63 55 40 x z r − 3r −48 x + 17 6 x 2 − 33 x + 18 6 2 5m 2 + 12m − 14 ; 1h) ; 1i) ; 1j) ; 1k) ; 1g) 5x 6−m y−4 x 2 − 36 m3 + 11m 2 + 38m + 40 Answers: 1a) 1l) x 2 − 5 x + 24 8y − 7 ; 1m) 3 3 2 y − 2 y2 − y + 2 x + x − 16 x − 16

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