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T1 U2 GA Work, Rate, Central Tendencies

Total questions: 14

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Working alone, DeShawn can harvest a field in 12 hours. Ned can harvest the same field in 8 hours. Find how long it would take them if they worked together.

a)

5.6 hours

b)

4.51 hours

c)

4.8 hours

d)

5.85 hours

e)

5.58 hours

2.

The table below shows the number of home runs in each of 25 baseball matches. What is the average number of home runs scored per match. Round to the nearest tenth.

a)

3.2

b)

2.2

c)

2.3

d)

3.4

e)

2.4

3.

Mari plans to construct a shed that will have a square-shaped floor. In her plans, each side is represented by the expression (8x+ 12) feet. IF the plans show that the perimeter of the floor of the building is 176 ft, what is the value of x ?

a)

22

b)

5

c)

18

d)

4

e)

20

4.

Luke went to visit his grandfather in Jackson. He drove at a constant rate of 70 miles per hour, and it took 4 hours to arrive. Which is the closest to the number of miles Luke drove (Note: d=rt)

a)

200

b)

17.5

c)

280

d)

70

e)

28

5.

Working alone, Kyle can dig a 12 by 12 ft hole in 13 hours. Alexa can dig the same hole in 9 hours. How long would it take them if they worked together?

a)

5.32 hours

b)

5 hours

c)

117 hours

d)

22 hours

e)

2.2 hours

6.

Jakaliab had taken 3 tests in his math class, with the grades 70,82, and 62. In order to maintain his exact average, what must Jakaliab's grade be on his 4th math test?

a)

62

b)

71

c)

54

d)

82

7.

What is the median of the date given?

21,42,51,16,2,28,31,6,42,19

a)

20

b)

34

c)

34.5

d)

24.5

e)

24

8.

A rain traveled to California and back. The trip there took 8.4 hours and the trip back took 10.5 hours. It averaged 7.3 km/h faster on the trip there than on the return trip. Find the train's average speed on the outbound trip.

a)

29.2 km/h

b)

64.8 km/h

c)

30.1 km/h

d)

42.2 km/h

e)

36.5 km/h

9.

Susie's weight is 20 pounds more than twice Tarah's weight. Find Susie's weight if together they weight 110 pounds.

a)

140

b)

80

c)

30

d)

Cannot be determined

e)

90

10.

What is the solution to

 9+10(2x)=799+10\left(2-x\right)=79  

a)

5

b)

-5

c)

-2

d)

2

e)

10

11.

A spaceship left NASA at the same time as a rocket. The vessels traveled in opposite directions. The rocket traveled at a speed of 300 mph. After 6 hours they were 12000 miles apart. How fast did the spaceship travel?

a)

1800 mph

b)

600 mph

c)

1700 mph

d)

40 mph

e)

1100 mph

12.

The formula for the area of a circle is

 A=πr2A=\pi r^2  Which of the following represents the formula solved for   π\pi  ?

a)

 π=r2A\pi=r^2A  

b)

 π=1Ar2\pi=\frac{1}{Ar^2}  

c)

 π=Ar2\pi=\frac{A}{r^2}  

d)

 π=r2A\pi=\frac{r^2}{A}  

e)

 π=r2(1+A)\pi=r^2\left(1+A\right)  

13.

Jason left the bus station and traveled toward his parents house. Two hours later his sister, Claire left traveling at 56 mph in an effort to catch up to Jason. After traveling for 5 hours Claire finally caught up. Find Jason's average speed.

a)

40 mph

b)

45 mph

c)

20 mph

d)

35 mph

e)

cannot be determined

14.

 4x2, 3x+5, x+2, x3, 3x+24x-2,\ 3x+5,\ x+2,\ x-3,\ 3x+2  

The following expressions sum to equal 225.  Solve for x. 

a)

14.2

b)

19.3

c)

18.4

d)

13.7

e)

21.8