Geo_Book_Answers

USING YOUR ALGEBRA SKILLS 8
1. x 2 6x 5 2. 2x 2 7x
x 1 x
3. 6x 2 19x 10
2x 5
4. (3)(2x 1) 5. (x 5)(x 3)
2x 1
6. (2x 3)(x 4)
x 4
7. x 2 26x 165 8. 12x 2 13x 35
9. x 2 8x 16 10. 4x 2 25
x
4
x
11
1
x
4
x
x
x
5
x
x
1
x 2
x
x 2
3
x
4
4x
4x 16
x 5
x
x 2
x
15
15x
11x 165
5
3x 2
x x 2
2x 3
x 3
x 3 x
4x
5
2x
5
3
x
2x 7 x
7
3x
12x 2
2x
4x 2
x
x 5
x
x 2
7
28x
15x 35
5
10x
10x 25
5
11. a 2 2ab b 2 12. a 2 b 2
a
b
13. (x 15)(x 4) 14. (x 12)(x 2)
x
4
15. (x 5)(x 4)
x
4
16. (x 3) 2 (x 3)(x 3)
x
3
17. (x 6)(x 6)
x
6
18. (2x 7)(2x 7)
2x
7
a
a 2
x
x 2
x
x 2
x
x 2
x
x 2
2x
4x 2
b
ab
ab b 2
15
15x
4x 60
3
3x
3x 9
19. x 4 or x 1
20. x 10 or x 3
21. x 3 or x 8
22. x 1
2
or x 4
23a and b.
h
5
5x
4x 20
6
6x
6x 36
7
14x
14x 49
h
x
2
h 4
12
23c. 1
2 [h (h 4)]h 48
23d. h 8 or h 6. The height cannot be
negative, so the only valid solution is h 6.
The height is 6 feet, one base is 6 feet, and the
otherbaseis10feet.
a
b
x
x 2
a
a 2
b
ab
ab b 2
12x
2x 24
ANSWERS TO EXERCISES 99
Answers to Exercises