1. 1. Classify the polynomial by degree and by terms.
A. B.
2. Add or subtract the following polynomials:
A. B.
3. Multiply the following polynomials:
A. B.
C. D.
4. Solve the following equations, make sure answers are in simplest form:
A. B.
C. D.
5. A ball is tossed into the air from a height of 8 feet with an initial velocity of 44 feet per second. Find
the time, t (in seconds), for the object to reach the ground.
6. The length of a bedroom is 2 feet less than four times its width. The area of the bedroom is 135 square
feet. What are the dimensions of the room? Show how to solve this using algebra.
7. Simplify the following problems:
A. B.
8. You have 81 feet of fencing to enclose a rectangular lot for a garden. What is the maximum area you
can enclose?
9. Find the area of the following shaded figures (the height is (2x – 5) and the length is (x +4):
10. Find the vertex, y-intercept, y-intercept symmetrical point, and x-intercepts of the following. Sketch
the graph on provided grid.
A. C.

2. y y
18 15
15 12
12
9
9
6
6
3 3
–18 –15 –12 –9 –6 –3
–3 3 6 9 12 15 18 x –15 –12 –9 –6 –3 3 6 9 12 15 x
–3
–6
–6
–9
–9
–12
–15 –12
–18 –15
11. The length of a rectangle is 3 less than three times the width. Find the dimensions of the
rectangle if the area is 70 square meters.
12. A rectangular picture has a length that is 4 less than five times the width. It is framed with a 4
inch wide cherry oak border. Find the area of the picture, if the area of the picture and frame
together are 689 square inches.
13. A local grocery store has plans to construct a rectangular parking lot on land that is bordered
on one side by a highway. There are 1000 feet of fencing available to enclose the other three
sides. Find the dimensions that will maximize the area of the parking lot.