1. Simplify the expression using the following values:

w=4;v=5;u=2

4w2v+3u

Choose one 4 points

- 17

- 65

- 63

- -25

2. Simplify the following expression by using these values:

m=3;n=2;p=5

3m2+4np

Choose one 4 points

- 21

- 84

c). 24

d). 30

e). 14

3. Simplify the following expression using these values:

a=5;b=7;c=1

2a+4bc2

Choose one 4 points

a). 37

b). 10

c). 32

d). 17

4. Solve forx.

3x+215=42

Choose one 4 points

a). x=41

b). x=70

c). x=18

d). x=63

5. Bianca works as acontent writerfor$10 an hour and as alibrary assistantfor$14 an hour. This month, she worked a combined total of75 hours at her two jobs.

Letc be the number of hours Bianca worked as acontent writerthis month. Write an expression for the combined total dollar amount she earned this month.

Choose one 4 points

a). Total earned this month = 24c

b). Total earned this month = 4c+75

c). Total earned this month = 10c+14

d). Total earned this month = 10(75c)+14

e). Total earned this month = 4c+1050

f). Total earned this month =24c-1050

6. Alex has a job transporting furniture by truck. His truck is filled with tables that weigh250 pounds each and chairs that weigh20 pounds each. There is a combined total of300 tables and chairs in his truck.

Letxbe the number of tables in his truck. Write an expression for the combined total weight (in pounds) of the tables and chairs in his truck.

Choose one 4 points

a). Total weight in pounds = 230x+50

b). Total weight in pounds = 230x+550

c). Total weight in pounds = 230x+75,000

d). Total weight in pounds = 230x+6000

e). Total weight in pounds = 230x+75,000

f). Total weight in pounds = 230x+50

g). Total weight in pounds =230x+6000

7. A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 higher than in the first. The tax in the first city was 8.5% and the tax in the second city was 5.5%. The total hotel tax paid for the two cities was $790. How much was the hotel charge in each city before tax?

Choose one 4 points

a). First city: $5250

Second city: $4250

b). First city: $6250

Second city: $5250

c). First city: $5000

Second city: $6000

d). First city: $5250

Second city: $6250

8. Two people worked on a car. The first person charged $85 per hour, and the second person charged $120 per hour. The people worked for a combined total of15 hours, and together they charged a total of $1450. How long did each person work?

Choose one 4 points

a). first mechanic =5 hours

second mechanic = 10hours

b). first mechanic = 7 hours

second mechanic = 8 hours

c). first mechanic = 10 hours

second mechanic = 5 hours

d). first mechanic = 4 hours

second mechanic = 11 hours

9. Two mechanics worked on a car. The first mechanic charged $95 per hour, and the second mechanic charged $75 per hour. The mechanics worked for a combined total of20 hours, and together they charged a total of $1800. How long did each mechanic work?

Choose one 4 points

a). first mechanic =15 hours

second mechanic = 5hours

b). first mechanic = 12 hours

second mechanic = 8 hours

c). first mechanic = 10 hours

second mechanic = 10 hours

d). first mechanic = 5 hours

second mechanic = 15 hours

10. Checkered Cab Taxi charges a $5.95 flat rate for a ride in the cab. In addition to that, they charge $0.25per mile. Katie has no more than $20 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?

Choose one 4 points

a). 65

b). 56

c). 57

d). 55

11. Mears Taxi charges a $3.95 flat rate for a ride in the cab. In addition to that, they charge $0.75 per mile. Katie has no more than $16 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?

Choose one 4 points

a). 15

b). 16

c). 17

d). 14

12. A car travels at an average speed of72 miles per hour. How long does it take to travel360 miles?

Choose one 4 points

a). 0.22 hours

b). 4 hours

c). 5 hours

d). 4.5 hours

13. Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels12 miles per hour slower than the westbound train. If the two trains are300 miles apart after2 hours, what is the rate of the westbound train?

Do not round.

Choose one 4 points

a). 71 miles per hour

b). 36 miles per hour

c). 18 miles per hour

d). 81 miles per hour

14. Mrs. Nelson is buying bottles of hand sanitizer for her employees. She already has 25 bottles in her office and needs a total of 200 bottles. They are sold in boxes of 20. Write an equation to show how many more boxes of hand sanitizer she needs.

Choose one 4 points

a). 20x25=200

b). 25+20x=200

c). 25x+20=200

d). 25-20x=200

15. Mr. Brown is buying bottles of water for the volunteers of an event he is managing. He already has 17bottles in his office and needs a total of 350 bottles of water. They are sold in cases of 24. Write an equation to show how many more cases of water he needs.

Choose one 4 points

a). 24x17=350

b). 17+24x=350

c). 17x+24=350

d). 17-24x=350