Name _____________________________________ Date _____________ Period __________
Review # 5
Factor the following polynomials.
1. x² - 2x – 15
2. 12x² – 26x – 10
3. 2x² + x – 3
4. 9x² - 6x – 15
5. x² - 6x + 9
6. 7x² - 22x + 3
7. 12x² - 3x
8. 3x² - 48
9. 15x² - 17x + 2
10. 144x² - 81
Review # 5
Solve the following quadratic equations by FACTORING.
11. 6x = -x² - 8
12. 3x² = 16x + 12
13. x + 3 = 2x²
14. 4x² + x = 9 + x
Solve the following equations using QUADRATIC FORMULA.
15. 2x² + 3x = 5
16. x² - 6x + 3 = 0
17. x² - 7x + 4 = 0
18. 25x² = 20x + 6 = 0
Review # 5
Simplify the following radicals.
19. 6 72
20.
21.
22. 3 216
480
80
Solve using the square root method.
23. x² - 4 = 0
24. x² - 27 = 0
25. 5x² = 80
26. 9x² - 32 = 40
27. Joey used algebra tiles to model the trinomial
x2 − x − 6
as shown below.
What are the factors of this trinomial?
A.
B.
C.
D.
(x + 3)(x + 2)
(x + 1)(x – 6)
(x – 6)(x – 3)
(x – 3)(x + 2)
x2
-x -x -x
x
x
-1 -1 -1
-1 -1 -1
28. The area of a triangle is given by the equation h 2 + 4h = 192 where h is the height of the
triangle. What is the height of the triangle?
A.
B.
C.
D.
E.
8
12
16
24
48
Review # 5
29. At which points does the graph of f ( x) = x2 − 4x − 96 intersect the x-axis?
A. (-16, 0) and (6, 0)
B. (-12, 0) and (8, 0)
C. (-8, 0) and (12, 0)
D. (-6, 0) and (16, 0)
E. (-4, 0) and (24, 0)
Review
30. Solve
3x + 4 = 13
31. The owner of a bookstore recorded the following information from last week.
Number of
Customers, c
Amount of
Sales, s
(in dollars)
12
18
24
30
36
42
80
110
140
170
200
230
According to information in the table, which equation describes the relationship between the
number of customers and the amount of sales?
A. s = 6c + 30
B. s = c + 30
C. s = 5c + 20
D. s =
c + 30
6
E. s = 6c + 8
32. A rectangle’s length, l, is 3 times the width, w. If the perimeter of the rectangle is 96 units,
what are the rectangle’s dimensions?
A.
B.
C.
D.
12 units and 32 units
4 units and 12 units
8 units and 24 units
36 units and 12 units
Review # 5
33. Haley had a job delivering advertising circulars house to house. She started with 1500
circulars. At the end of 1 hour, she had delivered 185. She plotted her progress each hour
showing the number of circulars she had left. After 5 hours her graph looked like this.
Delivery of Circulars
Number of
Advertising
Circulars
1500
1400
1300
1200
1100
1000
900
800
700
600
500
400
300
200
100
0
0
1
2
3
4
5
6
7
Number of Hours
8
Based on this information, which is the best prediction of the number of circulars Haley will have
left after 8 hours?
A. 485
B. 395
C. 310
D. 275
E. 150
34. If matrix A is 2x4 and matrix B is 4x1, can you find AB? If so, what size is it?
35. If matrix A is 3x2 and matrix B is 4x2, can you find AB? If so what size is it?
Answers Review # 5
Answers Review # 5
1. x – 5)(x + 3)
2. 2(2x – 5)(3x + 1)
3. (2x + 3)(x – 1)
4. 3(3x – 5)(x + 1)
5. (x – 3)(x – 3)
6. (7x – 1)(x – 3)
7. 3x(4x – 1)
8. 3(x – 4)(x + 4)
9. (15x – 2)(x – 1)
10. 9(4x – 3)(4x + 3)
11. -4, -2
−2
12.
,6
3
3
13.
, -1
2
3 −3
14. ,
2 2
−5
15.
,1
2
16. 3 ± 6
1. x – 5)(x + 3)
2. 2(2x – 5)(3x + 1)
3. (2x + 3)(x – 1)
4. 3(3x – 5)(x + 1)
5. (x – 3)(x – 3)
6. (7x – 1)(x – 3)
7. 3x(4x – 1)
8. 3(x – 4)(x + 4)
9. (15x – 2)(x – 1)
10. 9(4x – 3)(4x + 3)
11. -4, -2
−2
12.
,6
3
3
13.
, -1
2
3 −3
14. ,
2 2
−5
15.
,1
2
16. 3 ± 6
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
7 ± 33
2
2 ± 10
5
36 2
4 5
4 30
18 6
±2
±3 3
±4
±2 2
D
B
C
− 17
3,
3
C
D
E
Yes, 2X1
No
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
7 ± 33
2
2 ± 10
5
36 2
4 5
4 30
18 6
±2
±3 3
±4
±2 2
D
B
C
− 17
3,
3
C
D
E
Yes, 2X1
No