Page 337 - Algebra 1
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L E S S O N Simplifying Rational Expressions with Like
51
Denominators
Warm Up
1. Vocabulary _2
is a(n) expression.
3x Simplify.
(39)
2. 5n - k + n (18)
Factor each expression using the GCF.
3.4x2 +x 4.w2 -w
(38) (38)
5. Multiple Choice Which expression is equivalent to 6g2 - 12g + 3?
(38) A 3(g-5) B 6g(g-2)+1 C 3g(2g2 -4g+1) D 3(2g2 -4g+1)
New Concepts Rational expressions have variables in the denominator. All values that would make the denominator equal zero are excluded.
Identifying Excluded Values
Find the excluded value(s) in each expression. a. _3
Set the denominator equal to zero. Divide both sides by 5.
0 is an excluded value.
Set the denominator equal to zero. Subtract 1 from both sides.
-1 is an excluded value.
Example
1
Math Reasoning
Analyze Compare substituting a variable that makes the denominator equal to zero and dividing by zero.
5m SOLUTION
Online Connection www.SaxonMathResources.com
5m = 0 _5 m = _0
55 m=0 m≠0
b. _5m m+1
SOLUTION
m+1=0 -_ _1 = -_ _1 m = -1 m ≠ -1
322 Saxon Algebra 1
