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NAME
10-4
DATE
PERIOD
Practice
Radical Equations
Solve each equation. Check your solution.
1. √
-b = 8 -64
=
2. 4 √3
3. 2 √
4r + 3 = 11 4
4. 6 - √
2y = -2 32
5. √
k + 2 - 3 = 7 98
6. √
m - 5 = 4 √
3 53
7. √
6t + 12 = 8 √
6 62
8. √
3j - 11 + 2 = 9 20
9. √
2x + 15 + 5 = 18 77
10.
√x
48
3d
−
- 4 = 2 60
√
5
1
3x
−
11. 6 -3=0 −
12. 6 +
13. y = √
y+6 3
14. √
15 - 2x = x 3
15. √
w + 4 = w + 4 -4, -3
16. √
17 - k = k - 5 8
17. √
5m - 16 = m - 2 4, 5
18. √
24 + 8q = q + 3 -3, 5
19. √
4t + 17 - t - 3 = 0 2
20. 4 - √
3m + 28 = m -1
21. √
10p + 61 - 7 = p -6, 2
2
22. √2x
-9=x 3
√3
4
5r
−
= -2 √
6
a. If the voltage in a circuit is 120 volts and the circuit produces 1500 watts of power,
what is the resistance in the circuit? 9.6 ohms
b. Suppose an electrician designs a circuit with 110 volts and a resistance of 10 ohms.
How much power will the circuit produce? 1210 watts
24. FREE FALL Assuming no air resistance, the time t in seconds that it takes an object to
√
h
4
fall h feet can be determined by the equation t = − .
a. If a skydiver jumps from an airplane and free falls for 10 seconds before opening the
parachute, how many feet does the skydiver fall? 1600 ft
b. Suppose a second skydiver jumps and free falls for 6 seconds. How many feet does the
second skydiver fall? 576 ft
Chapter 10
26
Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
23. ELECTRICITY The voltage V in a circuit is given by V = √
PR , where P is the power in
watts and R is the resistance in ohms.
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