# M1 L22 Notes ```Lesson 22
NYS COMMON CORE MATHEMATICS CURRICULUM
LEARNING TARGET: I can define rational expressions and write them in equivalent forms.
M1
ALGEBRA II
Lesson 22: Equivalent Rational Expressions
Classwork
Opening Exercise
On your own or with a partner, write two fractions that are equivalent to
1
3
Example 1
Consider the following rational expression:
2(𝑎−1)−2
6(𝑎−1)−3𝑎
. Turn to your neighbor and discuss the following: For what values
of 𝑎 is the expression undefined? What is the rational expression equivalent to?
Lesson 22:
Date:
Equivalent Rational Expressions
3/19/16
&copy; 2014 Common Core, Inc. Some rights reserved. commoncore.org
S.106
Lesson 22
NYS COMMON CORE MATHEMATICS CURRICULUM
LEARNING TARGET: I can define rational expressions and write them in equivalent forms.
M1
ALGEBRA II
Exercise 1
Reduce the following rational expressions to lowest terms, and identify the values of the variable(s) that must be
excluded to prevent division by zero.
a.
b.
c.
d.
2(𝑥+1)+2
(2𝑥+3)(𝑥+1)−1
𝑥 2 −𝑥−6
5𝑥 2 +10𝑥
3−𝑥
𝑥 2 −9
3𝑥−3𝑦
𝑦 2 −2𝑥𝑦+𝑥 2
Lesson 22:
Date:
Equivalent Rational Expressions
3/19/16
&copy; 2014 Common Core, Inc. Some rights reserved. commoncore.org
S.107