Math 9 – Adding and Subtracting Polynomials Problems
1. Find the perimeter of the following shapes
2. Bob mowed (2x2 + 5x – 3) yards on Monday, (4x – 7) yards on Tuesday, and (3x2 +
10) yards on Wednesday.
a. How many yards did he mow in the three days?
b. If Bob mowed 14x2 + 12x – 3 yards total for the entire week, how many
yards did he mow during the rest of the week?
3. In the year 1995, the average cost of a cellphone could be modeled by the equation
C = -10t2 + 1600 where t is the number of years since 1995. By the year 2009 the
average cost had changed, so it could be modeled by the equation C = -18t2 + 800.
Find the difference in the average costs for a cellphone between 2009 and 1995.
4. Steve is hopeing to hit a home run today at his baseball game. He runs in track and
field and knows he can run about 5m/s.
a. Write an expression that repressents the distance around the baseball field.
b. Steve measures the distance from home base to first and calculates it to
be 26m. How long will it take Steve to complete a homerun?
5. Find the missing side length of each shape
6. Kate Andrews is holding a fund raising dance to support Movember. Weak Size
Fish, a local reggae/rock band has donated their time but needs $200 to cover
travel costs.
a. Write an expression to represent Kate Andrew’s profit.
b. If 250 students attend and each pay $5 each, what is the profit?
c. How much would we have to charge each student if we wanted to raise
$2000?
7. The sophomore class is working on a float for the homecoming parade. They need to
put a fringe around the perimeter of a rectangular trailer. If the length is 6 feet
longer than the width, what is the equation that represents how long the fringe
needs to be?
8. The measure of the perimeter of a triangle is 37s + 42. It is known that two of the
sides of the triangle have measures of 14s + 16 and 10s + 20. Find the length of the
third side.
9. A Book store sells comic books for $10, hardcover books for $8, and paperback
novels for $3.
a. Write an algebraic expression to represent the store total income from the
books.
b. If the store sells 15 comics, 7 hardcover books and 5 paperbacks, how much
money do they make?