Assignment
1) Solve the equation. Show the check of your answer in the original equation.
3(2x - 1) - (7 - 4x) = 40
2) Solve the equation by clearing fractions first. Show the check of your answer in the original equation.
-(2a/5) + (7/10) - (a/2) = 1 + (a/10)
3) Solve the equation by clearing fractions first. Show the check of your answer in the original equation.
-(1/2)y + (151/4) = (25/16) + 2y
4) Solve the equation by clearing decimals first. Show the check of your answer in the original equation.
-6.4x = 23.4 + 5.3x
5) Solve the equation by clearing decimals first. Show the check of your answer in the original equation.
-2.4w - 8.24 = 8 - 5.3w
6) The simple interest formula is given by I = PRT, where I = interest earned, P = principal deposited to the account, R = interest rate in decimal form, and T = time in years that the principal remains in the account.
a) Solve the formula for R.
b) Use the new version of the formula to find R, the rate of simple interest, given that a deposit of $10,000 earned $5200 in simple interest when left in an account for 8 years. Write R as a percent.
7) The formula A =2πrh tells us the lateral surface area A of a cylinder with radius r and height h.
a) Solve the formula for radius, r.
b) Use the new version of the formula to find the radius of a can that has lateral surface area 376.8 square inches and height 10 inches. Use 3.14 as an approximation for π.
8) The volume of a pyramid with a square base is given by the formula V = (1/3)L2H , where L = length of the side of the base and H = height of the pyramid.
a) Solve the formula for height, H.
b) Use the new version of the formula to find the height if the volume of the pyramid is 270 cubic meters and its base length is 9 meters.
9) Marguerite inherited $45,000 and invested part of it in her retirement account and donated the rest to a local soup kitchen. The amount of the investment was $2000 less than four times the amount of the donation. How much did Marguerite invest in her retirement account and how much did she donate to the soup kitchen?
10) The original price of a computer was $1259, but Edgar bought it on sale for $881.30. What was the percentage discount?
11) Phoenix inherits $12,000. He decides to invest part of the inheritance in a mutual fund and the remaining part in a certificate of deposit. If the amount invested in the certificate of deposit is $3,000 more than 8 times the amount invested in the mutual fund, find the amount invested in each account.