Lesson 7-6Textbook Homework Answers

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Problem 2

Add 1 to each side, simplify, multiply each side by 2, simplify

Problem 6

4x – 9 > -7

4x – 9 + 9 > -7 + 9

4x > 2

4x/4 > 2/4

X > ½

On the number line, open circle on ½ (which is between 0 and 1) with arrow going to the right

Problem 10

b/-7 + 7 ≤ 6

b/-7 + 7 – 7 ≤ 6 – 7

b/-7 ≤ -1

b/-7 (-7) ≥ -1 (-7)

b ≥ 7

Problem 16

(x/-3) – 1 ≤ 5

(x/-3) – 1 + 1 ≤ 5 + 1

(x/-3) ≤ 6

-3 (x/-3) ≥ -3 (6)

X ≥ -18

Problem 18

x/3 + 11 < 31

x/3 + 11 – 11 < 31 – 11

x/3 < 20

3 (x/3) < 3 (20)

X < 60

Problem 20

x/-6 – 2 < 4

x/-6 – 2 + 2 < 4 + 2

x/ -6 < 6

-6 (x/-6) > -6 (6)

X > -36

Problem 24

2 + 1.25x + 1 ≤ 10

3 + 1.25x ≤ 10

3 + 1.25x – 3 ≤ 10 – 3

1.25x ≤ 7

1.25x/1.25 ≤7/1.25

X ≤ 5.6

The farthest you can go is 5.6 miles

Answers4) m> -4; open circle arrow right

6) X > ½; open circle arrow right

8) A ≥ 4; closed circle arrow right

10) B ≥ 7

12) X ≤ -2

14) M > -7

16) X ≥ -18

18) X < 60

20) X > -36

22) A ≥ -2

24) 5.6 miles

26) The student simplified -36/-12 to -3 instead of 3

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