Word Problems – Precalculus
1. Write an equation that relates the quantities. G varies jointly with t and q and inversely with the
cube of w . The constant of proportionality is 8.25 .
2. Write an equation that relates the quantities. The square of T varies directly with the cube of
a and inversely with the square of d ; T  6 when a  3 and d  3 .
3. Express the perimeter as an algebraic expression containing the variable x .
4. The perimeter of a standard-sized rectangular rug is 24 feet. The width is 2 less than the length.
Find the dimension.
5. A birthday celebration meal is $45.80 including tax, but not the tip. Find the total cost if a 10% tip is
added to the cost of the meal.
6. Find the original price of a pair of shoes if the sale price is $45 after a 25% discount.
7. Find last year’s salary if, after a 4% pay raise, this year’s salary is $35,360 .
Answer key
1. G 
8.25tq
w3
12a 3
2. T  2
d
2
3. 14 x  4  ft
4. Width  5feet; Length  7feet
5. $50.38
6. $60
7. $34,000