Luttrell 2012
160
Answer Key, chapter 8 & appendix
Sheet 8c:
1. (x - 2)(x + 3) 3. (x + 2)(x – 10)
5. (x + 2)(x – 8) 7. (x-4)(x+4)
9. (x - 9)(x + 2)
Sheet 8d:
1. (2x + 7)(x – 1)
4. (x + 1)(4x – 5)
7. (3x – 4)(x + 1) 10. (3x + 2)(2x – 3)
Sheet 8e:
1. {1, 6}
2. {2, 1}
3. {3, 4}
4. {4, -1}
5. {-1, -4}
6. {-12, -1}
7. {-7, 2}
8. {2, 6}
9. {-2, -6}
10. {1.5, -2}
Sheet 8f:
(ax ± b)
2
; (ax –b)(ax + b) 1. {±3}
2. {±4}
3. {±5}
4. {±6}
5. {0, ±2}
6. {0, ±4}
7. {±3}
8. {±3}
9. {±0.6}
Sheet 8g:
1. (5x+3)(5x–3) 2. (2-9x)(2+9x) 3. 16(c-2)(c+2) 4. 3(3-n)(3+n) 5. 3c(c-3)(c
2
+3c+9)
6. x(x-1)(x
2
+x+1)
7. 5x
2
(x-10)(x
2
+10x+100)
9. ab(a-b)(a
2
+ab+b
2
)
Sheet 8h:
1. {0.6, -1}
2. {1.75, -1}
4. {-
3⅓, 1}
5. {2, 3}
6. {⅓, -4} 7. {6,-1}
Sheet 8i:
1. {2⅔, -1}
2. {-6, 1}
3. {1, -8}
5. {3, -1} 6. {-3.5, 1} 8. {1.5, 1}
Sheet 8j:
1. {0, -8, -8, -5, 0, 16}
2. {4, -3, -6, -5, 0, 9}
3. {2, 0, 0, 2, 6, 12}
Sheet 8k:
2. Up; y-int (0,8); vertex (3,-1); sym (6,8) 5. Down; y-int (0,-2); vertex (1.5, 0.25); sym (3,-2)
Sheet 8L:
1. 27 ft
2. C = 50.5; Wind speed
3. 365.8 parts per million 4. 14 mph
Sheet 8m:
1. -6
2. 0
3. 8 – 4i
4. -13 + 10i
Sheet 8n:
1. 12 + 5i
2. 13
3. -3 – 4i
4. 4
7. √5
8. 13
Chapter 8 Test: 2. –x
2
– x – 4; x
2
y
2
+ 3xy
3
3. 12b; -6p
5
4. 4x
2
+ 6x; -36 - 24t
5. 5a(5 + 6a); 3c(c
2
- 5)
6. (a+7)(a+6); 32(x-2)
7. a
2
-2a – 3; 6x
2
– x –12
8. 2a – 4; 4(a – 1)
9. {2, -7}; {-11}
10. {-1, -
1⅔}
11. up; vertex (1.25; -0.125), y-int (0, 3); sym (2.5; -0.125) 12. 49; two real bonus. 1
Cumulative Review:
1. 1.2x
5
y
3
2. 3
3. P = I/(rt)
5. -
5 < x < ⅓
6. -2x + 15y = -12
7. y = -7.5x + 1
9. y = 3x – 7
10. 4x
2
– 20x + 25
11. ⅔, 1
13. 0.6 ± 0.8i
14. (4y + 5)/(xy)
A-1
4. x < 3
5. x > 1
8. {3, -1.8}
9. x
3
+ 3x
2
y + 3xy
2
+ y
3
10. {-4, 5, -1.5}
A-2
1. {4}
2. 5061/990
5. Range {y| y ≤ 8}; 8, 0
6. No. There are two values for y for an x.
A-3
3. Slope is 3 and y-intercept is 5. 4. 3x – 4y = -27
6. Inconsistent 7. y = 2x - 5
A-4
1. (1, 1)
2. (3, -5)
3. (4, 2)
4. (2, -3, 1)
5. (-1, 4, 2)
A-5
1. y = 3(x – 2)
2
– 7
3. y > 5(x + 1)
2
+ 7
5. 33; 2 real
7. y = 3x
2
– 3x + 1
8. {-
1, ⅔}
10. {78}
