Question

(Sorry for it being so long, I just need help with these questions.)

(X represents my answers)
1. -9p - 17 = 10
a. -3
b. 16
c. 18
d. -16

2. w/4 - 4 = 3
a. -4
b. 28
c. 3
d. 11

3. x/5 + 6 = 10
a. 44
b. 30
c. 20
d. -20

4. -2(m - 30) = -6m
a. -15
b. -13
c. -8
d. 8

5. 3.75 + 3.7 = 1.7 + 1.75x
a. 10
b. -1
c. 1
d. .1

6. -6 - 7(c + 10)
a. 64 - 7c
b. -76 - 7c
c. 4 - 13c
d. -16 - 13c

7. 2x + 3(x - 2) - 2(x - 6)
a. 2x + 12
b. 2x - 8
c. 8x - 24
d. 2x - 24

8. c + 6 -3
a. r > -45
b. r > -15
c. r > 12
d. r > 45

10. -5p > -30
a. p > 6
b. p -35
d. p < 35

13. The total was $29.00 after adding a $4.00 tip to the bill for a family of five, each of whom ordered a hot dog. What was the price of a hot dog?
a. 4 - 5x = 29; $5.00
b. 4 + 5x = 29; $5.00
c. 29 - 5x = 4; $5.00
d. 5x = 29 = 4; 5.00

14. Jacob weighs 64 pounds. Together, he and his sister weight eight pounds more than two times the weight of his sister. What is the weight, w, of Jacob's sister?
a. 64 + w = 2w + 8; 56 pounds
b. 64 + w - 8 = 2w; 62 pounds
c. 64 + w = 2w; 64 pounds
d. 64 + w = 2w - 8; 72 pounds


Thanks for your help!

Answer 1

1. c 2. a 3. b

Explanation:

Answer 2

1. -9p - 17 = 10

-9p = 10 + 17

-9p = 27

p = -3

2. w/4 - 4 = 3

w/4 = 3 + 4

w/4 = 7

w = 7 · 4

w = 28

3. x/5 + 6 = 10

x/5 = 10 - 6

x/5 = 4

x = 4 · 5

x = 20

4. -2(m - 30) = -6m

-2m + 60 = -6m

-2m + 6m = -60

4m = -60

m = -15

5. 3.75 + 3.7 = 1.7 + 1.75x

1.75x = 3.75 + 3.7 - 1.7

1.75x = 5.75

x = 23/7

6. -6 - 7(c + 10)

= -6 -7c - 70

= -76 - 7c

7. 2x + 3(x - 2) - 2(x - 6)

= 2x + 3x - 6 - 2x + 12

= 3x + 6

8. c + 6 -3

= c + 3

10. -5p > -30

p < 6

13. 29 - 5x = 4; $5.00

14. 64 + w = 2w + 8; 56 pounds

For Q#5, 7, 8, and 10, I got a different answer from the one you provided. I did it the way I was taught to do it, which might be different from what you were taught. Sorry about that; I tried my best.