## Motion Problem Exercise Answer Key and Solution

Here’s the answer key and complete solution for Motion Problem Exercise 1.
1.) 1, 800 Kilometers

Distance = ?
Rate = 400 kph
Time = 4.5 hours $d = r \times t$ $d = 400 \ times 4.5$ $d = 1, 800 km$

2.) 12 kph

Distance = 3 km
Rate = ?
Time = 15 mins (or 2.5 hrs) $rate = \dfrac{distance}{time}$ $rate = \dfrac{3}{.25}$ $rate = 12 kph$

## Motion Problem Exercise 1

Solve the following motion problems.

1.) A plane is traveling at a rate of 400 kilometers per hour. How many kilometers can it travel in 4.5 hours?

2.) Lance’s house is 3 kilometers away from his school. He goes to school every day using a bicycle. If it takes him 15 minutes to go to school using his bicycle, what is his average speed in km/hr?

3.) The distance between Alma’s house and her office is 8 km. If she leaves her house at 7:00 am and drives her car to the office at an average rate of 40 km per hour, what time will she reach the office?

## Work Problem Exercise

Solve the following.

1) Manny can do a job in 8 days. What part of the job is finished after he worked for 4 days?

2.) Josie can do a job in 7 days. Danna can do the same job in 12 days. If they both worked for 1 day, what part of the job is finished?

3.) Daniel can paint a house in 8 days. Vic can do the same job in 10 days. If they both worked for 2 days, what part of the job is done?

4.) One hose can fill a pool in 4 hours and a smaller hose can fill the same pool in 6 hours. How long will it take the two hoses to fill the entire pool?

5.) Lucian can dig a ditch in 6 hours. Lucian and Michael can do it in 3 hours. How long would it take Jun to dig the same ditch alone?

1.) $\frac{1}{2}$
2.) $1\frac{9}{84}$
3.) $\frac{9}{20}$
4.) 2 hrs and 24 minutes
5.) 6 hrs

## Paragraph Organization Practice Test

Direction: The sentences below when properly arranged would make a well-developed paragraph. Arrange the sentences in such a way that the paragraph becomes a meaningful ordering of the sentences. Answer the questions that follow.

ITEMS # 1-4

A.) Because of that, he came into conflict with the Catholic Church, and he was eventually put on trial.
B.) This is essentially the view that the earth goes around the sun rather than vice versa.
C.) On that basis, he defended a view known as heliocentrism.
D.) Now this was in opposition to the prevailing view advocated by the Church, the geocentric view, the belief that the sun orbits the earth.
E.) Galileo uses the telescope, a new and imperfect technology at that time to make observations about the heavens.

1.) What should be the proper order of the sentences?
A.) D-C-B-A-E
B.) B-E-A-C-D
C.) C-D-A-B-E
D.) E-C-B-D-A

2.) Which should be the fourth sentence?
A.) Sentence A
B.) Sentence B
C.) Sentence C
D.) Sentence D

3.) Which should be the first sentence?
A.) Sentence E
B.) Sentence A
C.) Sentence B
D.) Sentence C

## Identifying Error Exercise

Direction: Each sentence consists of four underlined words or phrases. Identify the one word or phrase that must be changed in order for the sentence to be correct. If there are no errors, choose “No error”. Encircle letter of your choice.

1.) Jasper and me went to the park to play soccer with our friends. No error.

A.) me
B.) went
C.) to play
D.) with
E.) No error.

2.) The duties of the council chair are to preside over meetings, monitoring the progress of the group and consulting with more senior officers on issues discussed in meetings. No error
A.) council chair
B.) to preside
C.) monitoring
D.) consulting
E.) No error.

3.) The Supreme Court is the highest court in the land, and have the final decision on issues that matter the most. No error.
A.) is
B.) in the land
C.) have
D.) the most.
E.) No error.

4.) The value of the peso declines as the rate of inflation raises. No error.
A.) value
B.) declines
C.) as the
D.) raises.
E.) No error.

5.) Either Prof. Leloy Claudio or his fellow professors identifies as anti-communist. No error.
A.) either
B.) or
C.) his fellow professors
D.) identifies
E.) No error.

## Age Word Problem

Solve the following problems.

1.) Jeff is 8 years older than Mira. The sum of their ages is 60. What are their ages?

2.) Angie is 12 years younger than Jaime. The sum of their ages is 44. How old is Jaime?

3.) Leo is 7 years older than Karen. In 5 years, the sum of their ages will be 45. How old is Karen?

4.) Arvin is twice as old as Cory. The sum of their ages is 42. What are their ages?

5.) Rashid is four times as old as Soraya. Three years ago, the sum of their ages was 39. How old is Soraya now?

## Number Word Problem

Solve the following problems.

1.) One number is 3 greater than the other number. Their sum is 47. What are the two numbers?

2.) One number is 12 less than the other number. Their sum is 64. What are the two numbers?

3.) One number is twice the other number. Their sum is 84. What are the two numbers?

4.) One number is five times the other number. Their sum is 72. What are the two numbers?

5.) One number is four times the other number. Their difference is 45. What are the two numbers?

## Conversion Practice Exercises

Convert the following to its decimal, fraction or percent form.

1.) Convert 5/8 to decimal.

2.) Convert 20% to fraction.

3.) Convert 0.255 to percent.

4.) Convert 1/4 to decimals.

5.) Convert .05 to fraction. 