Check my answers

1.
–9x – 5 = –95

a. 17
b. 11
c. 10 ***
d. –10

2.
w over four – 4 = 3

a. –4
b. 28 ***
c. 3
d. 11

3.
d over three + 10 = 7

a. 51
b. 20
c. 0
d. –9 ***

4.
2(2 – 2x) = –3x

a.–4
b. 4 ***
c. 6
d. 0

5.
2.9n + 1.7 = 3.5 + 2.3n

a. 3 ***
b. –3
c. 1.3
d. 1

for questions 6–7, simplify the expression.

6.
–6 – 7(c + 10)

a. 64 – 7c
b. –76 – 7c ***
c. 4 – 13c
d. –16 – 13c

7.
5x + 6(x – 2) – 8(x – 3)

a. 19x + 36
b. 19x + 12
c. 3x – 36
d. 3x + 12 ***

for questions 8–10, solve the inequality.

8.
c + 6 < –20

a. c < –26
b. c < –14 ***
c. c < 26
d. c < 14

9.
r over fifteen ≥ –3

a. r ≥ –45 ***
b. r ≥ –15
c. r ≥ 12
d. r ≥ 45

10.
–8x > –64

a. x < 8 ***
b. x > 8
c. x < –72
d. x > 72

for questions 13–14, write and solve an equation.
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.
mark weighs 74 pounds. together, he and his sister weigh six pounds more than three times the weight of his sister. what is the weight, w, of mark’s sister?

a. 74 + w = 3w; 37 lb
b. 74 + w – 6 = 3w; 18.5 lb
c. 74 + w = 3w + 6; 34 lb ***
d. 74 + w = 3w – 6; 40 lb

15.
paula sold 35 packages of wrapping paper for this year’s booster club fundraiser. this is one less than twice the number of packages that she sold last year. how many packages did paula sell last year?

a. 17 packages
b. 16 packages
c. 20 packages
d. 18 packages ***

for question 16–18, write and solve an inequality.

16.
kelvin and marsha are going to dinner and a movie this evening. kelvin wants to have at least $70 cash in his wallet. he currently has $10. how much money, x, does kelvin need to withdraw from the bank?

a. x + 10 > 70; x > $60
b. x + 10 ≥ 70; x ≥ $60 ***
c. x + 10 < 70; x < $60
d. x + 10 ≤ 70; x ≤ $60