8
9:13:04
AM 607
-0880.indd
CHAPTER TEST
Additional Resources
The variables x and y vary inversely. Use the given values to write an equation
relating x and y. Then find y when x 5 4.
Assessment Book
10 5
1. x 5 5, y 5 2 y 5 }; }
x 2
216
2. x 5 22, y 5 8 y 5 }; 24
x
15 15
3 , y 5 10 y 5 }
;}
3. x 5 }
x 4
2
18 9
4. x 5 3, y 5 6 y 5 }
; }
x 2
7
214 7
5. x 5 24, y 5 }
y5}
; 2}
2
x
2
15 15
3, y 5 5
6. x 5 }
} y 5 }; }
4
8
32x 128
Graph the function. State the domain and range. 7–9. See margin.
•
Test Generator
62x
9. f(x) 5 }
2x 1 1
21 2 1
8. y 5 }
x24
2 23
7. y 5 }
x15
Chapter Test, Levels A, B, C
Standardized Chapter Test
• SAT/ACT Chapter Test
• Alternative Assessment
•
Chapter Test
Easily-readable reduced copies (with answers) of Chapter
Test B, the Standardized
Chapter Test, and the
Alternative Assessment from
the Assessment Book can be
found on pp. 548E–548F.
Graph the function. 10–12. See margin.
2
2
x 24
11. y 5 }
x 2 1 8x 1 15
4
10. y 5 }
x2 1 2
x 13
12. g(x) 5 }
2x 2 1
Find the least common multiple of the polynomials.
13. (x 2 3)(x 1 5) and x(x 1 5) x (x 2 3)(x 1 5) 14. 4x2 (x 2 2) and 8x(x 1 2) 8x 2 (x 2 2)(x 1 2)
15. x2 2 4x and x2 2 2x 2 8 x (x 2 4)(x 1 2)
16. 2x 1 6 and x 3 1 10x2 1 21x 2x (x 1 7)(x 1 3)
Perform the indicated operation and simplify.
3x 2y
6y 2
10.
1
17. }
4 }3 }
2xy 4y 3
4x 3y 5
x 2 2 3x 2 4 p x 2 6 x 2 4
18. }
} }
x 2 2 3x 2 18 x 1 1 x 1 3
x23
x 2 2 8x 1 15 p x 1 4 }}
19. }
}
x 2 1 12x 1 32 x 2 2 25 (x 1 5)(x 1 8)
2
x27
2 11x 1 28 4 (x 2 2 16) }}
20. x}
(x 1 4)2(x 1 1)
x 2 1 5x 1 4
2x 2 1
3x 2 4x 1 1 }
21. }
}
x15
x15
x15
6(x 1 3)
2
4 1}
22. }
}}
x 1 6 (x 2 3)(x 1 6)
x23
23(x 2 6)
6
3x
23. }
2}
}}
x 1 4 (x 1 4)(x 2 3)
x 2 1 x 2 12
2(3x 2 10)
2x
4 1}
24. }
}}
x15
x 2 2 25 (x 1 5)(x 2 5)
y
1
21
x
11.
y
5
21
x
Solve the equation. Check for extraneous solutions.
3 5 x23
25. }
} 9
2x 1 4
x12
x 1 1 5 13
1 1}
26. }
} 2, 3
x16
x
x16
x22 5 x12
27. }
} 6
x14
x21
12.
28. SOUND INTENSITY The intensity I of a sound varies inversely with the
g(x)
square of the distance r from the source of the sound. Write an equation
a
relating I, r, and a constant a. I 5 }
2
1
r
21
x
29. CABLE TV You have subscribed to a cable television service. The cable
company charges you a one-time installation fee of $30 and a monthly fee
of $50. Write and graph a model that gives the average cost per month as a
function of the number of months you have subscribed to the service. After
30 1 50m
how many months will the average cost be $56? C 5 }
, see margin for art; 5 mo.
29.
30. WEB HOSTING You are building a new website for your school. A company
that hosts websites offers a dedicated server for a $50 setup fee plus a
monthly fee of $99. How many months would you need to use this service
in order for your average monthly cost to fall to $100? 50 mo
Chapter Test
8.
9.
y
C
Average cost (dollars)
m
607
80
60
40
20
0
0
2
4
6
8
Number of months
m
f(x)
1
6/18/09 5:39:46 PM
5
x
domain: all real numbers except 4,
range: all real numbers except 21
21
1
x
domain: all real numbers except 2 }1,
2
range: all real numbers except 2 }1
2
607