NAME _________________________________________________________ DATE ___________
12.3
Practice A For use with pages 704–709
Isolate the radical expression on one side of the equation. Do not solve. 1. x 2 4 8
2. x 7 9
4. 5x 4 3 1
5. 2x 1 0
7.
1 2x
457
8. 4 x
3 4
3. x 7 2 0
6. 8 x 4
5 4
9. 2x 4 8
Solve the equation. Check for extraneous solutions. 10. x 5 0
11. x 7 0
12. x 3 12
13. x 14 8
14. x 6 0
15. 2x 0
16. x 3 2
17. 2x 5 13
18. x 2 8
19. 2x 1 0
20. 8x 1 5
21. 4x 1 3 0
22. 3x 5 7 3
23. x 2 x 4
24. 5x 2 7 2x
25. Water Flow
You can measure the speed of water using an L-shaped tube. The speed V of the water in miles per hour is V 2.5h where h is the height of the column of water above the surface in inches. If you use the tube in a river and find that h is 5 inches, what is the speed of the water to the nearest tenth of a mile per hour?
26. Cylindrical Rod
The radius r, the height h, and the surface area A of a cylinder are related by the equation r
2A rh.
What is the radius of a rod whose surface area is 50 square inches and height is 24 inches? 24 in.
25. Water Flow You can measure the speed of water using an L-shaped tube. The speed V of the water in miles per hour is where h is the height of the column of ...