2/27/15, 10:23 AM
Answer Key 16d55720 - Page 1
Algebra 1 CC, Ch 2 #749 Stds: {A-CED.A.4,A-REI.B.4.B}
1) ±3
WORK SHOWN:
,
,x
Algebra 1 CC, Ch 2 #755 Stds: {A-CED.A.4,A-REI.B.4.B}
2) {-7,1}
WORK SHOWN:
,
,x+3
, x = -3 ± 4, x = -7 or x = 1
Algebra 1 CC, Ch 2 #757 Stds: {A-CED.A.4,A-REI.B.4.B}
3)
!
WORK SHOWN:
Algebra 1 CC, Ch 2 #766 Stds: {A-CED.A.4,A-REI.B.4.B}
4)
!
!
WORK SHOWN:
Algebra 1 CC, Ch 2 #781 Stds: {A-CED.A.4,A-REI.B.4.B}
5) {3,-5}
WORK SHOWN:
- 15 = 0,
,
, x + 1 = ±4, x = -1 ± 4, x = -5 or x = 3
!
,
,x+1
Algebra 1 CC, Ch 2 #801 Stds: {A-CED.A.4,A-REI.B.4.B}
6) {-3,2}
WORK SHOWN:
- 18 = 0,
- 6) = 0, 3(z + 3)(z - 2) = 0, z + 3 = 0, z = -3 OR z - 2 = 0, z =
2
Algebra 1 CC, Ch 2 #803 Stds: {A-CED.A.4,A-REI.B.4.B}
7)
WORK SHOWN:
- 3x - 1 = 0, (4x + 1)(x - 1) = 0, 4x + 1 = 0,
OR x - 1 = 0, x = 1
Algebra 1 CC, Ch 2 #806 Stds: {A-CED.A.4,A-REI.B.4.B}
8) 4
WORK SHOWN:
- 40x + 80 = 0,
- 8x + 16) = 0, 5(x - 4)(x - 4) = 0, x - 4 = 0, x = 4
Algebra 1 CC, Ch 2 #810 Stds: {A-CED.A.4,A-REI.B.4.B}
9) {-5,-3}
WORK SHOWN:
5 = 0, y = -5 OR y + 3 = 0, y = -3
,
y + 30 = 0,
, 2(y + 5)(y + 3) = 0, y +
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Answer Key 16d55720 - Page 2
Algebra 1 CC, Ch 2 #812 Stds: {A-CED.A.4,A-REI.B.4.B}
10) {3,5}
WORK SHOWN:
,
- 10x + 25 + 2x = 10,
0, x = 3 OR x - 5 = 0, x = 5
- 8x + 15 = 0, (x - 3)(x - 5) = 0, x - 3 =
Algebra 1 CC, Ch 2 #814 Stds: {A-CED.A.4,A-REI.B.4.B}
11) {0,12}
WORK SHOWN:
- 36x = 0, 3x(x - 12) = 0, x = 0 OR x + 12 = 0, x = -12
Algebra 1 CC, Ch 2 #815 Stds: {A-CED.A.4,A-REI.B.4.B}
12) {0,12}
WORK SHOWN:
- 132x = 0, 11x(x - 12) = 0, x = 0 OR x - 12, x = 12
Algebra 1 CC, Ch 2 #819 Stds: {A-CED.A.4,A-REI.B.4.B}
13) ±4
WORK SHOWN:
- 64 = 0, (2x - 8)(2x + 8) = 0, 2x - 8 = 0, x = 4 OR 2x + 8 = 0, x = -4
Algebra 1 CC, Ch 2 #826 Stds: {A-CED.A.4,A-REI.B.4.B}
14) {-1,-5}
WORK SHOWN:
,
+ 1 = 0, x = -1
,
,
, x = -5 OR x
Algebra 1 CC, Ch 2 #844 Stds: {A-CED.A.4,A-REI.B.4.B}
15)
WORK SHOWN:
Algebra 1 CC, Ch 2 #846 Stds: {A-CED.A.4,A-REI.B.4.B}
16)
WORK SHOWN:
Algebra 1 CC, Ch 2 #851 Stds: {A-CED.A.4,A-REI.B.4.B}
17) 6.2, 0.8
WORK SHOWN:
!
!
!
!
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Answer Key 16d55720 - Page 3
Algebra 1 CC, Ch 2 #853 Stds: {A-CED.A.4,A-REI.B.4.B}
18) Part A: ±1.73
WORK SHOWN:
, 2x + 3 = x(x + 2),
,
,
;
Part B:
WORK SHOWN:
Algebra 1 CC, Ch 2 #926 Stds: {A-CED.A.4,A-REI.B.4.B}
19) 6, 8, and 10
WORK SHOWN: x = 1st leg, x + 2 = 2nd leg, x + 4 = hyp,
,
,
- 4x - 12 = 0, (x - 6)(x + 2) = 0; x = 6 OR x = -2 (reject); (6) + 2 =
8, (6) + 4 = 10
Algebra 1 CC, Ch 2 #927 Stds: {A-CED.A.4,A-REI.B.4.B}
20) 5, 12, and 13
WORK SHOWN: x = hyp, x - 8 = shorter leg, x - 1 = longer leg, (x ,
,
- 18x + 65 = 0, (x - 13)(x - 5) = 0; x = 13 OR x = 5 (reject); (13) - 8 = 5,
(13) - 1 = 12
Algebra 1 CC, Ch 2 #928 Stds: {A-CED.A.4,A-REI.B.4.B}
21) 7
WORK SHOWN: x = pos. number,
- 5x = 14,
- 5x - 14 = 0, (x - 7)(x + 2) = 0; x = -2 (reject) OR x =
7
Algebra 1 CC, Ch 2 #929 Stds: {A-CED.A.4,A-REI.B.4.B}
22) -3
WORK SHOWN: x = neg. number,
- 18 = 3x,
- 3x - 18 = 0, (x - 6)(x + 3) = 0; x = 6 (reject) OR x =
-3
Algebra 1 CC, Ch 2 #930 Stds: {A-CED.A.4,A-REI.B.4.B}
23) ±9 and ±11
WORK SHOWN: x = 1st odd integer, x + 2 = next odd integer,
,
,
- 198 = 0,
- 99 = 0, (x + 11)(x - 9) = 0; x + 11 = 0, x = -11,
(-11) + 2 = -9 OR x - 9 = 0, x = 9, (9) + 2 = 11
Algebra 1 CC, Ch 2 #931 Stds: {A-CED.A.4,A-REI.B.4.B}
24) 6, 7, and 8
WORK SHOWN: x = 1st pos integer, x + 1 = 2nd pos integer, x + 2 = 3rd pos integer,
,
,
- 488 = 0, (x + 8)(x - 6) = 0; x = -8
(reject) OR x = 6, (6) + 1 = 7, (6) + 2 = 8
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Answer Key 16d55720 - Page 4
Algebra 1 CC, Ch 2 #934 Stds: {A-CED.A.4,A-REI.B.4.B}
25) 6 cm and 8 cm
WORK SHOWN: x = side of square 1, x - 2 = side of square 2,
,
- 4x + 4 =
100,
- 4x - 96 = 0,
- 2x - 48 = 0, (x - 8)(x + 6) = 0; x = 8, (8) - 2 = 6 OR x = -6 (reject)
Algebra 1 CC, Ch 2 #939 Stds: {A-CED.A.4,A-REI.B.4.B}
26) 7
WORK SHOWN: x = side of square, (x + 5)(x + 1) = 96,
(x - 7) = 0; x + 13 = 0, x = -13 (reject) OR x - 7 = 0, x = 7
,
, (x + 13)
Algebra 1 CC, Ch 2 #941 Stds: {A-CED.A.4,A-REI.B.4.B}
27) 10 yd
WORK SHOWN: x = amount of increase, (x + 20)(x + 30) = 2(20)(30),
- 600 = 0, (x + 60)(x - 10) = 0; x + 60 = 0, x = -60 (reject) OR x - 10 = 0, x = 10
Algebra 1 CC, Ch 2 #942 Stds: {A-CED.A.4,A-REI.B.4.B}
28) 2 m
WORK SHOWN: x = width of sidewalk,
,
0, (x + 12)(x - 2) = 0; x + 12 = 0, x = -12 (reject) OR x - 2 = 0, x = 2
- 96 = 0,
,
- 24 =
Algebra 1 CC, Ch 2 #950 Stds: {A-CED.A.4,A-REI.B.4.B}
29) 5.3 m
WORK SHOWN:
(x + 6)(x + 8) = 150,
,
- 102 = 0,
Algebra 1 CC, Ch 2 #957 Stds: {A-CED.A.4,A-REI.B.4.B}
30) Part A: 120 L
WORK SHOWN: plug pulled at time t = 0,
Part B: 4.2 min
WORK SHOWN:
- 8(0) + 120 = 120 liters;
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