5.7, 5.8.notebook
Quiz #10
July 25, 2016
(Factoring Super­Quiz!)
1) Write the numbers from 1 to 30 in order on a piece of paper with your name and "Quiz #10" at the top.
2) Determine the factoring of the polynomial you have randomly drawn.
3) By asking other students in the class, fill in the answers to all 30 problems.
4) For every problem, write both the original question and your answer.
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5.7, 5.8.notebook
July 25, 2016
1. a2 + 5a + 6
11. k2 + 3k – 108
21. u2 – 169
2. b2 + 2b – 24
12. x3 – 8x2 + 15x
22. v3 + 125
3. c2 – 7c + 6
13. 6m2 + 5m + 1
23. w3 – 64w
4. d2 – 12d + 36
14. 2n2 – 5n – 12
24. 13x2 + 144x + 11
5. x3 + 3x2 + 2x + 6
15. 3y2 – 10y + 3
25. 2y2 + 12y + 14
6. y2 + 2y + 13
16. 9p2 + 7p – 16
26. 21z2 – 58z + 21
7. g2 – 16
17. q2 + 18q + 81
27. a2 + 12ab + 35b2
8. 4h2 – 4h – 80
18. 4x2 – 20x + 25
28. cd2 + 2d2 – 4c – 8
9. x3 – 5x2 – 6x + 30
19. 64y2 + 64y + 16
29. (x – 2)2 + 7(x – 2) + 12
10. y2 + 25
20. – 16t2 + 32t + 48
30. x2 – y2 + 2x – 2y
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5.7, 5.8.notebook
July 25, 2016
5.7 Using Factoring to Solve Equations
= 20
= 7
= 0
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July 25, 2016
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July 25, 2016
5.8 Word Problems
Find three consecutive numbers such that the product of the first two is 2 more than 10 times the third.
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5.7, 5.8.notebook
July 25, 2016
A rectangular backyard deck is 3 feet longer than it is wide. It has a total area of 108 square feet. What are the measurements?
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5.7, 5.8.notebook
July 25, 2016
The profit (P, in thousands of dollars) that Company X makes each month is related to the price of their product (x, in dollars) based on the equation P = ­x2 + 31x ­ 220. The "break even point" is when the profit is neither positive nor negative. What is the break even point for this business?
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July 25, 2016
The Pythagorean Theorem
c
a
b
a2 + b2 = c2
The length of a fancy rectangular dining table is 2 feet more than twice the width. The diagonal measure of the table is 1 foot more than the length. What are the dimensions of the table?
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5.7, 5.8.notebook
July 25, 2016
Factoring Super Quiz! ­ Answers
1.
a2 + 5a + 6
(a+2)(a+3)
16. 9p2 + 7p – 16
(9p+16)(p ­ 1)
2.
b2 + 2b – 24
(b+6)(b ­ 4)
17. q2 + 18q + 81
(q+9)2
3.
c2 – 7c + 6
(c ­ 6)(c ­1 )
18. 4x2 – 20x + 25
(2x ­ 5)2
4.
d2 – 12d + 36
(d ­ 6)2
19. 64y2 + 64y + 16
16(2y+1)2
5.
x3 + 3x2 + 2x + 6
(x2+2)(x+3)
20. – 16t2 + 32t + 48
­16(t ­ 3)(t+1)
6.
y2 + 2y + 13
Prime
21. u2 – 169
(u+13)(u ­ 13)
7.
g2 – 16
(g ­ 4)(g+4)
22. v3 + 125
(v+5)(v2 ­ 5v+25)
8.
4h2 – 4h – 80
4(h ­ 5)(h+4)
23. w3 – 64w
w(w+8)(w ­ 8)
9.
x3 – 5x2 – 6x + 30
(x2 ­ 6)(x ­ 5)
24. 13x2 + 144x + 11
(13x+1)(x+11)
10. y2 + 25
Prime
25. 2y2 + 12y + 14
2(y2+6y+7)
11. k2 + 3k – 108
(k ­ 9)(k+12)
26. 21z2 – 58z + 21
(7z ­ 3)(3z ­ 7)
12. x3 – 8x2 + 15x
x(x ­ 5)(x ­ 3)
27. a2 + 12ab + 35b2
(a+7b)(a+5b)
13. 6m2 + 5m + 1
(2m+1)(3m+1)
28. cd2 + 2d2 – 4c – 8
(c+2)(d+2)(d ­ 2)
14. 2n2 – 5n – 12
(2n+3)(n ­ 4)
29. (x – 2)2 + 7(x – 2) + 12
(x+1)(x+2)
15. 3y2 – 10y + 3
(3y ­ 1)(y ­ 3)
30. x2 – y2 + 2x – 2y
(x ­ y)(x+y+2)
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