SOLVING FOR SPECIFIC VARIABLE WORKSHEET FOR SAT

Problem 1 :

The formula above gives the monthly payment m needed  to pay off a loan of P dollars at r percent annual interest over N months. Which of the following gives P in terms of m, r, and N ?

Solution

Problem 2 :

A website uses the formula above to calculate a seller's rating, R,  based on the number of favorable reviews, F, and unfavorable reviews, N. which of the following expresses the number of favorable reviews in terms of the other variables ?

Solution

The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimeters.

Problem 3 :

Based on Current's formula, what is w in terms of A ?

A)  w = 30A - 4       B)  w = 30A + 4      C)  w = 30(A - 4)

D)  w = 30(A + 4)

Solution

Problem 4 :

If Mosteller's and Current's formulas give the same estimate for A, which of the following expressions is equivalent to √hw ?

Solution

Problem 5 :

The expression above gives the amount of money, in dollars, generated in a year by a $1,000 deposit in a bank account that pays an annual interest rate of r%, compounded monthly. Which of the following expressions shows how much additional money is generated at an interest rate of 5% than at an interest rate of 3% ?

Solution

Problem 6 :

h = -16t² + vt + k

The equation above gives the height h, in feet, of a ball t seconds after it is thrown straight up with an initial speed of v feet per second from a height of k feet. Which of the following gives v in terms of h, t, and k ?

Solution

Problem 7 :

The volume of a sphere is given by the formula V = 4/3 πr³, where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere ?

Solution