Practice Math 0097 Test 5 Name _____________________
Show enough work to justify your answer.
Factor out the greatest common factor in each of the following expressions.
1. 36x2 – 6x 2. 18x2y – 6x2y2 + 24x2y3
Factor each of the following by grouping.
3.
6 6ax ay x y
4.
7 14 3 6x y ax ay
Factor each of the following completely if possible.
5.
26x x
6.
25 6x x
7.
2
16 a
8.
2
25 1y
9.
4
81 x
10.
2 2
75 12x y
11.
3 2
5 9 45x x x
12.
218 81x x
13.
2
8 28 24x x
14.
2
4 20 24m m
15.
2
15 5 20x x
Solve each of the following equations.
16.
( 8)( 5) 0x x
17.
26 9 0x x
18.
2
25 0x
19.
22 15x x
20.
( 3) 28x x
21.
325y y
22.
2
3 12 5a a
23.
3 2
20 30 10x x x
Solve each of the following application problems. Show the equation used.
24. Two numbers have a difference of 10. If their product is 56, find the numbers.
25. The product of two consecutive odd integers is one less than three times the sum of
the integers. Find the integers.
26. The area of a rectangle is 60ft2. If the length is one less than four times the width
what are the dimensions of the rectangle?
27. The legs of a right triangle are two consecutive even integers. If the hypotenuse is
10 inches long, how long are the legs?
28. The sum of the solutions of the equation
( 5)( 3) 0x x
is.
a. 2 b. -2 c. 8 d. -8
