Download Geometry – Factoring/Solving Test ... Find each product. Simplify if possible. 1.

Geometry – Factoring/Solving Test
Name _____________________________________
Find each product. Simplify if possible.
1. 3(n 2  7)
2. 2a(a 2  9a  1)
4. ( x  8)( x  4)
5. (3x  1)( x  5)
Factor the following expressions by finding the Greatest Common Factor.
6. 28 p  42
7. 6 x 3  18 x 2
8. 4 y 3  16 y  8 y 2
9. 25 x 3  15 x 2  100
Factor each quadratic expression.
10. y 2  16 y  17
11. 9a 2  16
12. 3x 2  10 x  3
13. 5m 2  33m  14
14. 4 x 2  121
15. 7 z 2  10 z  3
3. 5x 2 (3x 4  x 3  4)
Solve each equation.
16. (2 x  7)( x  4)  0
17. (5 x  2)( x  7)  0
18. x 2  3x  0
19. x 2  3x  10  0
20. x 2  18  0
21. 4 x 2  x  3
22. 3x 2  27  0
23. 3 x 2  12 x
24. 5 x 2  17 x  6
Solve the following equations by using the quadratic formula. If there is no real solution, write No
Real Solution.
25. 4 x 2  3x  6  0
26. x 2  12 x  40
27. 6 x 2  11x  4  0
28. A rectangular poster has an area of 54 in2. The width of the poster is 3 in. less than its height.
Find the dimensions of the poster.