1
2 Solve |x| = 5
3 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| = 5
4 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| = 5 x = 5
5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| = 5 x = 5
6 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| = 5 x = 5 or x = –5
7 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| = 5 |x| = a
8 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| = 5 |x| = a x = a “or” x = –a
9 Solve |x| > 5
10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5
11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
12 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
13 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
14 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
15 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
16 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
17 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
18 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
19 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
20 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
21 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
22 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5
23 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5 or x < – 5
24 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5 or x < – 5
25 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 x > 5 or x < – 5
26 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 |x| > a
27 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |x| > 5 |x| > a x > a “or” x < –a
28 Solve |x| 5
29 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
30 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
31 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 5
32 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 5
33 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 5 and x –5
34 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 5 and x –5
35 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x 5 and x –5
36 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x –5 and x 5
37 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x –5 and x 5
38 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 x –5 and x 5 –5 x 5
39 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 |x| < a
40 Solve |x| 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 |x| < a x –a “and” x a
41
42 |ax + b| = c
43 ax + b = c or ax + b = –c
44 |ax + b| = c ax + b = c or ax + b = –c |ax + b| > c
45 |ax + b| = c ax + b = c or ax + b = –c |ax + b| > c ax + b > c or ax + b < –c
46 |ax + b| = c ax + b = c or ax + b = –c |ax + b| > c ax + b > c or ax + b < –c |ax + b| < c
47 |ax + b| = c ax + b = c or ax + b = –c |ax + b| > c ax + b > c or ax + b < –c |ax + b| < c ax + b –c
48 Solve |x – 4| = 2
49 x – 4 = 2 or x – 4 = –2
50 Solve |x – 4| = 2 x – 4 = 2 or x – 4 = –2 x = 6 or x = 2
51 Solve |6x + 3| = 15
52 6x + 3 = 15 or 6x + 3 = –15 6x = 12 or 6x = –18 x = 2 or x = – 3
53 Solve |5 – 4x| + 3 = 4
54 |5 – 4x| = 1
55 Solve |5 – 4x| + 3 = 4 |5 – 4x| = 1 5 – 4x = 1 or 5 – 4x = –1
56 Solve |5 – 4x| + 3 = 4 |5 – 4x| = 1 5 – 4x = 1 or 5 – 4x = –1 –4x = –4 or –4x = –6
57 Solve |5 – 4x| + 3 = 4 |5 – 4x| = 1 5 – 4x = 1 or 5 – 4x = –1 –4x = –4 or –4x = –6 x = 1 or x =
58 Solve |2x + 5| 9
59 2x + 5 9 and 2x + 5 –9
60 Solve |2x + 5| 9 2x + 5 9 and 2x + 5 –9 2x 4 and 2x –14
61 Solve |2x + 5| 9 2x + 5 9 and 2x + 5 –9 2x 4 and 2x –14 x 2 and x –7
62 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |2x + 5| 9 2x + 5 9 and 2x + 5 –9 2x 4 and 2x –14 x 2 and x –7
63 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Solve |2x + 5| 9 2x + 5 9 and 2x + 5 –9 2x 4 and 2x –14 x 2 and x –7
64 Solve |4x – 3| + 7 > 20
65 |4x – 3| > 13
66 Solve |4x – 3| + 7 > 20 |4x – 3| > 13 4x – 3 > 13 or 4x – 3 < –13
67 Solve |4x – 3| + 7 > 20 |4x – 3| > 13 4x – 3 > 13 or 4x – 3 < –13 4x > 16 or 4x < –10
68 Solve |4x – 3| + 7 > 20 |4x – 3| > 13 4x – 3 > 13 or 4x – 3 < –13 4x > 16 or 4x < –10 x > 4 or x < –
69 Solve |4x – 3| + 7 > 20 |4x – 3| > 13 4x – 3 > 13 or 4x – 3 < –13 4x > 16 or 4x < –10 x > 4 or x < – -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
70 Solve |4x – 3| + 7 > 20 |4x – 3| > 13 4x – 3 > 13 or 4x – 3 < –13 4x > 16 or 4x < –10 x > 4 or x < – -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
71 A soda manufacturer has a tolerance of 0.25 ounce for a can of soda that is supposed to weigh 12 ounces. Write and solve an absolute value inequality that describes the acceptable weights for a “12 ounce” soda.
72 |actual weight – ideal weight| tolerance
73 A soda manufacturer has a tolerance of 0.25 ounce for a can of soda that is supposed to weigh 12 ounces. Write and solve an absolute value inequality that describes the acceptable weights for a “12 ounce” soda. |actual weight – ideal weight| tolerance |x – 12| 0.25
74 A soda manufacturer has a tolerance of 0.25 ounce for a can of soda that is supposed to weigh 12 ounces. Write and solve an absolute value inequality that describes the acceptable weights for a “12 ounce” soda. |actual weight – ideal weight| tolerance |x – 12| 0.25 x – 12 0.25 and x – 12 –0.25
75 A soda manufacturer has a tolerance of 0.25 ounce for a can of soda that is supposed to weigh 12 ounces. Write and solve an absolute value inequality that describes the acceptable weights for a “12 ounce” soda. |actual weight – ideal weight| tolerance |x – 12| 0.25 x – 12 0.25 and x – 12 –0.25 x 12.25 and x 11.75
76 A soda manufacturer has a tolerance of 0.25 ounce for a can of soda that is supposed to weigh 12 ounces. Write and solve an absolute value inequality that describes the acceptable weights for a “12 ounce” soda. |actual weight – ideal weight| tolerance |x – 12| 0.25 x – 12 0.25 and x – 12 –0.25 x 12.25 and x 11.75
77 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 1] Is x = –4 a solution to |3x + 8| = 20? 2] |5x – 4| = 16 3] |10 + 3x| – 1 17 4] Solve & graph the solution on the # line: |4x + 11| 23
78 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 1] Is x = –4 a solution to |3x + 8| = 20? 2] |5x – 4| = 16 3] |10 + 3x| – 1 17 4] Solve & graph the solution on the # line: |4x + 11| 23 x = 4 or x = – NO ; 4 20 x – x or x –