Day 2 Add and Subtract Rational Expressions Completed Notes
Rational Expressions Day 2
Objectives: The learner will...
*add and subtract rational expressions
*simplify rational expressions
*rewrite rational expressions in different forms
Add/subtract rational expressions with like
denominators. State all variable restrictions.
Examples:
1)
7 + 9
20 20
4)
2x
x +1
2
2
Wehrle
2)
+
7 + 5
12x 12x
3) 3x ­ x
x­2 x­2
2
x2 + 1
1
Day 2 Add and Subtract Rational Expressions Completed Notes
When you start out with unlike denominators, you need to find the
LCM (least common multiple) of each denominator.
Find the LCM.
5)
2
2
4x ­ 16 and 6x ­ 24x + 24
6)
5x3 and 10x2 ­ 15x
Add or subtract the following rational expressions. State all
variable restrictions.
7)
Wehrle
3
2x
+
4
5x
8)
x­2 ­
4
3x
3(x+1)
2
Day 2 Add and Subtract Rational Expressions Completed Notes
9)
7
9x
2
+
x
3x +3x
:
intt: st!
Hinor irFsit!r!
H
cto
t F
FFaac r
2
10)
x ­ 2x + 2
3x­15
x ­4x­5
2
Wehrle
3
Day 2 Add and Subtract Rational Expressions Completed Notes
11)
12)
Wehrle
2x + 5 ­ 1
x2 ­4
2­x
x+2
1 +
x
3x2
9x2 ­12x
4
Day 2 Add and Subtract Rational Expressions Completed Notes
13)
x+1 ­ 6
+ 1
2
x +4x+4 x ­4
x­2
2
14)
Wehrle
x+2
­
x2 +2x ­3
5x
x2 ­ 9
5
Day 2 Add and Subtract Rational Expressions Completed Notes
Assignment
Worksheet 2 ­ Adding & Subtracting
Rational Expressions
Wehrle
6