Download Unit 3 Test review

Name _______________________________________ Date ___________________ Class __________________
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
k
B x
yz
2. P varies inversely with Q, and P  12
when Q  8. Find P when Q  3.
7. How many solutions are there to the
2
4
equation
 2
 1?
x 1 x 1
A 0
B 1
C 2
8. Which could be the equation for
the graph?
F 2
G 4.5
H 32
3. Simplify
6 x  18 x 2  5 x  6

.
x2  4
x2  9
A
6
x2
B
6 x  12
x2  x  6
4. Simplify
1
x
.

1 x x  1
F 1
H
F a(x )  x  5  2
x 1
1 x
x 1
G
x 1
G b(x )  5  x  2
H d (x )   5  x  2
9. Solve
5. Which function is continuous?
x
A A(x ) 
1  x2
x
B B(x ) 
1  x3
3 x  12
6. Identify all asymptotes of f (x ) 
.
x2
F vertical asymptote: x  2
horizontal asymptote: y  3
5x  2  2 2x  5 .
A x  8
B x6
10. Write an equation that represents the
statement “P varies directly with Q and
inversely with T.”
________________________________________
G vertical asymptote: x  2
horizontal asymptote: y  4
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Advanced Algebra
Name _______________________________________ Date ___________________ Class __________________
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
x 2  16
5 x  10

.
x  6 x  8 3 x  12
2
________________________________________
15. Identify all asymptotes of
x 2
.
f (x )  2
x 9
________________________________________
16. Find the solution set for the equation
3
10
 2
 1.
x  1 x  2x  1
________________________________________
13. Simplify
2
3
.

x  3 x 2  7 x  12
________________________________________
1
is a continuous function,
x a
what must be true of a?
14. If f (x ) 
2
________________________________________
17. If f (x )  x  1 is transformed by
translating it 2 units up, and then
reflecting it over the x-axis, what will
the resulting function be?
________________________________________
18. Solve
6 x  5  41  2 x .
________________________________________
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Advanced Algebra
Name _______________________________________ Date ___________________ Class __________________
Rational and Radical Relationships
Answers continued
7
11
11. x 6 y 6
8. H
9. B
12. 2
10. P 
13. 2
1
7
kQ
T
14. x 6 y 6
11. 12
15. 4
12.
5
3
13.
2 x  11
x  7 x  12
 4
 3
16.  
Unit 3 Test Form A
2
14. x  2
1. A
15. HA at y  0; VA at x  3
2. H
16. {3, 4}
3. A
17. g ( x )   x  1
4. F
5. A
18. x  4.5
6. F
7. B
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Advanced Algebra