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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.