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Name _______________________________________ Date __________________ Class __________________ LESSON 2-5 Practice C Solving for a Variable Answer each of the following. 1. The formula P 2l 2w relates the perimeter P of a rectangle to its length l and width w. Solve this formula for w. vf vi is used to find an t object’s acceleration given initial velocity vi, final velocity vf, and time t. Solve this formula for vf. 2. The formula a ________________________________________ ________________________________________ Solve each literal equation for the indicated variable. 3. 3f g for f 4. 12 a 5b for a ________________________ 6. 5h g jk for h ________________________ 5. 3x 7y z for x ________________________ 7. r t 9 for r s ________________________ 8. ________________________ m3 p for n n ________________________ Answer each of the following. 9. The formula F ma relates the force F exerted on an object, to the object’s mass m, and acceleration a. a. Solve the formula F ma for a. ____________________________________ b. Suppose a shot-putter exerts a force of 123.5 kg • m/s2 on a shot that has a mass of 6.5 kg. What is the rate of acceleration of the shot? (The answer will be in m/s2.) ____________________________________ 10. The formula I Prt can be used to determine the interest I that is earned on a principal amount of money P, when the money is invested at an annual percentage rate r for t years. a. Solve the formula I Prt for t. ____________________________________ b. If a couple invests $5000 in an account that earns a 3% interest rate, how long will they need to invest it to earn $1200 in interest? (Hint: Convert the interest rate to a decimal.) ____________________________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. 2-37 Holt McDougal Algebra 1 Practice C 1. w Reading Strategies P 2l 2 2. vf at vi 3. f g 3 4. a 12 5b 5. x z 7y 3 6. h jk g 5 7. r s(t 9) 8. n m3 p 9. a. a F m 10. a. t b. 19 m/s2 I Pr P 4 LESSON 2-6 2. b 180 a –c VP 3. K T 3V 4. w lh 5. 12 in. 6. add –x to both sides 7. multiply both sides by 2 c 3b 10. z 3(y x) 11. m pn 3 1. 3; 2; 2; 2 2. 7; 7; 4; 4; 4; 4; 11; 3 3. 6; 6; 6; 5; 7 4. {8, 8} 5. {14, 14} 6. {9, 9} 7. {17, 17} 8. {11, 7} 9. {1, 11} 12. {11, 9} 13. x 24 2 2. P 2000 Practice B 3. t 5 years 1. {12, 12} 4. r 0.032 or 3.2% 5. $351 6. 3 years 1 1 2. , 2 2 7. $2200 8. 0.03 or 3% 3. {10, 10} 9. $247 10. 5 years 11. 0.027 or 2.7% Problem Solving 1. r d t 11. {7, 3} 14. 22 miles per gallon; 26 miles per gallon Challenge 1. l 375 Practice A 10. {5, 5} 8. add 3r to both sides 9. a V Iw b. 3 cm 6. a. h b. 8 years Review for Mastery 1. s 1. Possible answer: 3x 2y 9 2. The equation contains only one variable, n. 3. Yes, because it has two or more variables. 4. Divide both sides by r. b8 5. t 3 2. 9.1 m/s 3. 8.5 m/s 4. 0.4 m/s 5. B 6. F 7. D 8. J 4. 5. 6. 7. 8. 9. {9, 9} {8, 8} {13, 7} {1, 3} {2, 8} {14, 10} 10. {3, 3} Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. A18 Holt McDougal Algebra 1