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Name _______________________________________ Date __________________ Class __________________
Rational Expressions Review
Sections 6.2 & 6.3
Solve.
1. Find the values for which
x3
x+5
is undefined.
2
- 7x + 12x
__________________________________________________________________
Write the rational expression in lowest terms.
1–w
w2 - 1
2. 36c5d4
96cd8
3.
_______________________________
_____________________________
Mulitply or divide. Write the answer in lowest terms.
4.
9t + 36
5
10t + 40
6
_______________________________
6.
a2 – 49
2a - 14
c2 +7c + 10
c2 + 2c – 15
5.

4c + 12
3c + 15
_____________________________
8
a+7
7.
_______________________________
5xy2
4x2

8x3y
15y5
_____________________________
Find the least common multiple/denominator for each set of expressions:
8.
5
,
6ab3
-7
2a2
,
9
4b2
_____________________________________
9.
x–3
,
2x2 – 9x + 4
2x + 7
2x2 + 9x - 5
__________________________________
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Advanced Algebra
Name _______________________________________ Date __________________ Class __________________
10.
x2  x  2 and x2  x  6
______________________________________
Add or subtract. Write the answer in lowest terms.
11. 3r + 1
r–4
-
r+9
r–4
12.
x+2
3x + 9
+
- 2x + 3
5x + 15
__________________________________
________________________________
13. 3x+ 1
4x - 5
x
+
x2 – x - 2
-
x-1
4x - 5
14.
__________________________________
15. Simplify the complex fraction:
-2
x2 – 4
________________________________
t–3
6
t2 – 9
15
________________________
Solve the equation:
16.
x2 – 4 = 1
x–2
_______________________________
17.
x2 + x – 12 = - 7
x+4
________________________________
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Advanced Algebra