CHAPTER
Rational and Radical Relationships
Test Form A
Select the best answer.
1. Which equation is best represented
by the statement “x varies jointly with
y and z”?
A x ’ kyz B [pic]
2. P varies inversely with Q, and P ’ 12 when Q ’ 8. Find P when Q ’ 3.
F 2
G 4.5
H 32
3. Simplify [pic].
A [pic]
B [pic]
4. Simplify [pic].
F 1 H [pic]
G [pic]
5. Which function is continuous?
A [pic]
B [pic]
6. Identify all asymptotes of [pic].
F vertical asymptote: x ’ −2
horizontal asymptote: y ’ 3
G vertical asymptote: x ’ −2
horizontal asymptote: y ’ 4
7. How many solutions are there to the equation [pic]?
A 0
B 1
C 2
8. Which could be the equation for
the graph?
[pic]
F [pic]
G [pic]
H [pic]
9. Solve [pic].
A x ’ −8 B x ’ 6
10. Write an equation that represents the statement “P varies directly with Q and inversely with T.”
Rational and Radical Relationships
Test Form A continued
11. P varies directly with Q and inversely
with R, and P ’ 18 when Q ’ 6 and
R ’ 2. Find P when Q ’ 20 and R ’ 10.
12. Simplify [pic].
13. Simplify [pic].
14. If [pic] is a continuous function, what must be true of a?
15. Identify all asymptotes of
[pic].
16. Find the solution set for the equation [pic].
17. If [pic] is transformed by translating it 2 units up, and then reflecting it over the x-axis, what will
the resulting function be?
18. Solve [pic].
Rational and Radical Relationships
Answers continued
11. [pic]
12. 2
13. 2
14. [pic]
15. 4
16. [pic]
Unit 3 Test Form A
1. A
2. H
3. A
4. F
5. A
6. F
7. B
8. H
9. B
10. [pic]
11. 12
12. [pic]
13. [pic]
14. [pic] (2
15. HA at y ( 0; VA at x ( (3
16. {(3, 4}
17. [pic]
18. x ( 4.5
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