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UNIT 1: REVIEW PROBLEMS1. y varies jointly as x and z. If y = 12 when x = 3 and z = 6, find y when x = 4 and z = 36.2. 4y – 2n = 9; for y3. The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?4. x = 2y + 1 ; for y 55. Simplify: (7x3y-5)(4xy3)6. Solve: 3(2x – 4) + 5 = 8x + 107. y varies directly as x and inversely as z. If y = 7 when x = 2 and z = 4, find x when y = 7 and z = 6.8. The volume V of gas varies inversely to the pressure P. The volume of a gas is 200 cm3 under pressure of 32 kg/cm2. What will be its volume under pressure of 40 kg/cm2?9. I = prt; for t10. Solve: 5x – 2(4x + 4) = -3(x – 2)+ 811. The number of rabbits varies directly as the number of squirrels and inversely as the number of raccoons. When there were 10 rabbits and 40 squirrels, there were only 2 raccoons. How many raccoons went with 5 rabbits and 20 squirrels?12. (2m4n6)3 12m3n713. The electric current I, is amperes, in a circuit varies directly as the voltage V. When 12 volts are applied, the current is 4 amperes. What is the current when 18 volts are applied?14. Cheers varied jointly as the number of fans and the jubilation factor. When there were 100 fans and a jubilation factor of 4, there were 1000 cheers. How many cheers were there when there were only 10 fans with a jubilation factor of 20?15. h = v + g2; for g16. The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person with a mass of 50 kg?17. 5x + 4 = 2(x – 7) ................
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