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LESSON
NAME _________________________________________________________ DATE ___________
12.3
Practice B
For use with pages 722–728
Solve the equation. Check for extraneous solutions.
1. x 5 0
2. x 6 0
3. 5x 2 3
4. 3x 4 1 11
5. 9 x 4 2
6. 2x 1 4 3
13 x 2 8
x
10. 2
6
32 x 5 10 8
4x
11. 9 3
5
2
4 2
14. x 3 5
5 5
12. 5
16. x 12 x
17. x 2x 3
18. x 8 2x
19. x 3x 2
20. x 24 5x
21. x 6x 8
22. x 9x 14
23. 2x 16x 15
24. 2x 8x 4
25. 4x 2x 5
26.
7.
13. 4 2x 3 5
8.
1
x 8 x
2
9. 5 4x 3 3
4x3 2 0
15. 6 7x 3 6
27.
1
x 2x 4
2
Two numbers and their geometric mean are given. Find the value
of a.
28. 8 and a; 16
29. 3 and a; 15
A marketing department
determines that the price of a magazine
subscription and the demand to subscribe are
related by the equation
Lesson 12.3
31. Market Research
P 52 0.0002x 1
where P is the price per subscription and x is
the number of subscriptions sold. If the
subscription price is set at $30, how many
subscriptions would be sold?
30. 9 and a; 6
32. Free Falling Velocity
The velocity v of a
free falling object, the height h in which it
falls, and the acceleration due to gravity g
(32 feet per second squared) are related by the
equation v 2gh. Find the height from
which a penny was dropped if it strikes the
ground with a velocity of 30 feet per second.
33. Oriental Fan
The area A of a portion of a circle bounded by
two radii r and angle of a sector of a circle are related by the
equation
r
2A .
2
3
r
The length of a side (radius) of an Oriental fan is 12 inches
2
and it opens through the angle . Find the area of the
3
fully-opened fan.
34. If the side length of the fan in Exercises 33 is only 6 inches, is the area
half the area of the fan with side length 12 inches? Explain.
42
Algebra 1
Chapter 12 Resource Book
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