Name
Date
Class
Practice C
LESSON
10-3 Simplifying Rational Expressions
Find any excluded values for each rational expression.
5
4x
1. ______
2. _______
2
4x 7
x 4x
x5
3. _______
x 2 25
Simplify each rational expression, if possible. Identify
any excluded values.
2
x 20x
x1
_________
4. ______
5. 4
2
2x 10
x 4
x1
6. _____________
2x 3 5x 2 3x
Simplify each rational expression, if possible.
x 2 4x 5
7. ___________
x 2 8x 15
3x 12
8. _____________
6x 2 18x 24
2
2x 32
9. ___________
x 2 8x 16
x 360
__________
10. 10
5x 2 30x
2
x 2x 8
11. _____________
x 3 2x 2 24x
2
x 1
12. ___________
2x 2 3x 5
5x
13. _______________
2x 3 16x 2 30x
x 25
14. ___________
10 3x x 2
27 3x
15. _____________
6x 2 36x 54
2
2
2
16. Flavored crushed ice is served in a paper container in the shape of a right circular cone.
a. Find the surface-area-to-volume ratio of a right
circular cone. (Hint : For a right circular cone,
2
2
2
1 r 2h.)
S r rs (where s r h ) and V __
3
b. Container A has a radius of 2 in. and a height of 3 in. Container B
has a radius of 3 in. and a height of 4 in. Which container uses the
least amount of paper to hold the greatest amount of crushed ice? Explain.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
21-28_a107c10_pr.indd 23
23
Holt Algebra 1
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