NAME______DATE______PER.______

SPRING FINAL EXAM:

5th 6-WEEKS REVIEW

PART 1. Dividing Monomials

Simplify.

1) ______/ 2) ______
= _?_ / = _?_

PART 2. Dividing Polynomials by Monomials

Simplify.

3) ______/ 4) ______
= _?_ / = _?_

PART 3. Finding Missing Factors & Greatest Common Factors

Find the missing factor.

5) ______/ 6) ______
–25x4y6 = (5x3y)( ? ) / 36x4y6 = (2xy)(6x2y2)( ? )

Find the greatest common factor.

7) ______/ 8) ______
25p2q3, 15p2q2, and 35pq4 / 18x2, 30x3y2, -54y3

PART 4. Factoring with Greatest Common Factor.

Factor.

9) ______/ 10) ______
2a3b3 + 10ab = _?_ / 5cx2 + 10c2x – 15c3 = _?_

PART 5. FACTORING

Factor completely. If the polynomial will not factor AT ALL, write PRIME.

11) ______/ 12) ______
2x3 – 4x2 + 2x / 6n2 + 17n + 7
13) ______/ 14) ______
3a3 – 27a / 12n2 – 32n + 16
15) ______/ 16) ______
10g2 – 11g + 3 / y2 – 144
17) ______/ 18) ______
24a2 – 54 / 5x3y2 – 20xy2 + 10x2y

Find the dimension(s) indicated.

19) ______/ The area of a rectangle is represented by 4a2 – 13a + 9. Find the dimensions of the rectangle.
20) ______/ The area of a square is represented by 9s2 + 6s + 1. Find the length of each side of the square.
21) ______/ The area of a sheet of paper is represented by
5p2 – 13p + 8. If the length is p – 1, what is the width of the paper?

PART 6. Solving Quadratic Equations by Factoring

Solve each quadratic equation by FACTORING.

22) ______/ x2 + 5x – 24 = 0
23) ______/ 2y2 = -3y + 35

PART 7. Solving Quadratic Equations by Formula

Solve each quadratic equation using the QUADRATIC FORMULA. Round your FINAL answers to the nearest tenth if necessary.

24) ______/ 6x2 – 13x + 6 = 0 a=______; b=______; c=_____
25) ______/ -2x2 = 4x – 3 a=______; b=______; c=_____

PART 8. Applications of Quadratic Equations

Steve kicks a football into the air. The path that the ball takes can be described by the equation h = 20t – 5t2 where h is the height of the ball in meters and t is the time in seconds.

26) ______/ How high is the ball after 3 seconds?
27) ______/ After how many seconds will the ball be 15 meters high?
28) ______/ After how many seconds will the ball be 25 meters high?
29) ______/ When will the ball hit the ground?

Solve for the dimension indicated.

30) ______/ The area of a rectangle is represented by the equation w2 – 7w = 18, where w is the width of the rectangle. Find the width of the rectangle.
31) ______/ The area of a storage shed is represented by the equation
2L2 – 6L = 20, where L is the length of the storage shed. Find the length of the storage shed.