11-3 Simplifying Rational Expressions
State the excluded values for each rational expression.
12. ANSWER: 7, −7
14. ANSWER: 5, −2
3
2
16. GEOMETRY The volume of a rectangular prism is 3x + 34x + 72x - 64. If the height is x + 4, what is the area
of the base of the prism?
ANSWER: Simplify each expression. State the excluded values of the variables.
18. ANSWER: ; x ≠ 0, y ≠ 0
20. ANSWER: ;0
22. ANSWER: ;6
24. ANSWER: n + 9; 2
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ANSWER: ; 0, −5
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24. 11-3ANSWER: Simplifying Rational Expressions
n + 9; 2
26. ANSWER: ; 0, −5
28. ANSWER: ; 5, −5
Find the zeros of each function.
30. ANSWER: −3, 4
32. ANSWER: −8,
34. ANSWER: 0, −3, 2
36. PYRAMIDS The perimeter of the base of the Pyramid of the Sun is 4π times the height. The perimeter of the base
of the Great Pyramid of Giza is 2π times the height. Write and simplify each ratio comparing the base perimeters.
a. Pyramid of the Sun to the Great Pyramid
b. Great Pyramid to the Pyramid of the Sun
ANSWER: a. about 0.97
b. about 1.03
Simplify each expression. State the excluded values of the variables.
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b. Great Pyramid to the Pyramid of the Sun
ANSWER: about 0.97 Rational Expressions
11-3a. Simplifying
b. about 1.03
Simplify each expression. State the excluded values of the variables.
38. ANSWER: 3
3
b + 3a − 2a ; a, b ≠ 0
40. ANSWER: , −5
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