Basic Algebra.docx

7
Basic Algebra 1. At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill? 2. Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost? 3. Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in? Close Work 1. Working alone, Ryan can dig a 10 ft by 10 ft hole in four hours. Castel can dig the same hole in six hours. How long would it take them if they worked together? 2. Working alone, Carlos can oil the lanes in a bowling alley in five hours. Jenny can oil the same lanes in nine hours. If they worked together how long would it take them? 3. It takes Trevor and Cody 6 hours to clean an attic. Cody can clean the same attic in nine hours. Find how long it would take Trevor if he worked alone. Close Answers 1. It would take them 2.4 hours 2. 3 3/14 hours 3. It would take Trevor 18 hours Age 1. 9 years from now Sharon will be 18 years old. In 6 years, the sum of the ages of Sharon and Paul will be 71. How old is Paul right now? 2. 15 years from now Peter will be twice as old as Miguel. The current sum of the ages of Peter and Miguel is 18. How old is Miguel right now? 3. 6 years from now Peter will be 43 years old. In 13 years, the sum of the ages of Peter and Steven will be 87. How old is Steven right now?

description

Algebra

Transcript of Basic Algebra.docx

Page 1: Basic Algebra.docx

Basic Algebra1. At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person

paid $13 then what was the total bill?

2. Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did

each pencil cost?

3. Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups.

How many more cups does she need to put in?

Close

Work1. Working alone, Ryan can dig a 10 ft by 10 ft hole in four hours. Castel can dig the same

hole in six hours. How long would it take them if they worked together?

2. Working alone, Carlos can oil the lanes in a bowling alley in five hours. Jenny can oil the

same lanes in nine hours. If they worked together how long would it take them?

3. It takes Trevor and Cody 6 hours to clean an attic. Cody can clean the same attic in nine

hours. Find how long it would take Trevor if he worked alone.

Close

Answers

1. It would take them 2.4 hours

2. 3 3/14 hours

3. It would take Trevor 18 hours

Age1. 9 years from now Sharon will be 18 years old. In 6 years, the sum of the ages of Sharon

and Paul will be 71. How old is Paul right now?

2. 15 years from now Peter will be twice as old as Miguel. The current sum of the ages of

Peter and Miguel is 18. How old is Miguel right now?

3. 6 years from now Peter will be 43 years old. In 13 years, the sum of the ages of Peter and

Steven will be 87. How old is Steven right now?

4. In three more years, Miguel’s grandfather will be six times as old as Miguel was last year.

When Miguel’s present age is added to his grandfather’s present age, the total is 68. How

old is each one now?

Close

Answers

1. Paul is 50 years old

2. Miguel is 1 year old

3. Steven is 24 years old

Page 2: Basic Algebra.docx

4. Grandfather = 56

Miguel = 11

Geometry1. A room whose area is 24 ft2 has a length that is 2 feet longer than the width. What are the

dimensions of the room?

2. Isabella is making a display board for the school elections. The display board is a 10 ft by 6

ft rectangle. What is the length of ribbon that she needs to make a border?

3. A classroom has a length of 20 feet and a width of 30 feet. The headmaster decided that

tiles will look good in that class. If each tile has a length of 24 inches and a width of 36

inches, how many tiles are needed to fill the classroom?

4. Jasmine is making a display board for the school talent show. The display board is a 10 ft

by 9 ft rectangle. If ribbon costs P2.00 per foot, how much will it cost to add a ribbon border

around the entire display board? If special paper costs P4.00 per 2 ft sq. how much does

she need to cover the whole board?

Close

Answers

1. The room is 4 X 6

2. The ribbon should be 32 feet long

3. You need 100 tiles

4. She needs P76.00 for the ribbon and P180.00 for the paper

Probability1. How many kinds of goodie bags can you make with, 3 kinds of candies, 2 kinds of toys, 2

kinds of pencils and 3 kinds of sticker papers?

2. How many kinds of meals can you get from 3 appetizers, 5 drinks, 2 desserts and 6 main

courses.

3. A bag contains 3 blue, 3 red and 1 green. What is the probability of getting a blue? A red? A

blue or red? A green or red?

4. How many different outfits can you form from: 3 shirts, 2 skirts, 2 pants, 1 pair of sandals

and 2 pairs of rubber shoes?

5. A box contains 5 red balls and 8 violet. A ball is removed and another is drawn What is the

probability that the first ball is violet? The second ball is violet? Both balls are the same

color?

Close

Answers

1. There are 36 kinds of goodie bags all in all

Page 3: Basic Algebra.docx

2. 180 different meals all in all

3. Getting a blue =3/7

Getting a red, =3/7

Getting a blue OR red =6/7

Getting a green OR red =4/7

4. There are 36 different outfits to be formed

5. First ball is violet =8/13

Second ball is violet =7/12

Both balls are the same color = 14/39

God used beautiful mathematics in creating the world.” —Paul Dirac

{Coach Alice’s Note: LETer (or LET taker), are afraid of Math? Do you feel like skipping

test items when you see that they deal with Math problems? Are you ready to love Math?

It’s time for a mindset change if you are aiming to top or pass the LET.

Think about Math as a subject that you face everyday from the time you were conceived,

your growing years, times at school, starting a family until you retire.

Here are some sample LET test items for Math, as shared by occasional MindGym LET

Math coach Gail Beltran.}

Ratio1. The ratio of blue to red marbles is 16 to 9. If there are 96 blue marbles in the box then how

many of the following is in the box?

2. A total of 450 is divided into equal shares. If Joshue receives 4 shares, Barbie receives 3

shares and Jake receives the remaining two shares, how much money did Jake receive?

3. A 6 ft tall tent standing next to a cardboard box casts a 9 ft shadow. If the cardboard box

casts a shadow that is 6 ft long then how tall is it?

4. A model house is 12 cm wide. If it was built with a scale of 3 cm : 4 m then how wide is the

real house?

Close

Answers

1. blue marbles = 54, red marbles = 96, total marbles = 150

2. Jake receives 100

3. The box is 4 feet tall

4. The house is 16 meters

Proportion1. A package of pens contain 1 red, 2 blue and 3 black. If there are 60 pens all in all, how

many black pens are there?

Page 4: Basic Algebra.docx

2. Ana, Jake and Grace divided the cost of a sack of apples with the ratio of 2:5:7 respectively.

If there were 84 apples costing 5 pesos each, how much did Jake pay?

Close

Answers

1. There are 30 black pens

2. Jake paid 150 for 30 apples

Percentage1. A test has 20 questions. If peter gets 80% correct, how many questions did peter missed?

2. In a school, 25 % of the teachers teach basic math. If there are 50 basic math teachers,

how many teachers are there in the school?

3. 24 students in a class took an algebra test. If 18 students passed the test, what percent do

not pass?

Close

Answers

1. He missed 4 questions

2. There are 200 teachers in school

3. 25% did not pass the test

4. With the LET just around the corner, it pays to practice, practice, practice.  Here are

Math items prepared and shared by Top 1, Secondary Level – Math, Glenn

Gilongos.  Answers are given.  All you have to do would be to analyze, write an

equation, solve, and compare with the answers.  Push those pencils; enhance your

Math skills.

5. 1.) Three friends will divide 1350 pesos, into ratio 2:3:4, how much will each one

receive?

–> 300, 450, and 600 pesos

6. 2.) Find the simple interest rate if one pays 1165 pesos for a 1000 pesos loan that

lasted for 9 mos?

–> 22%

7. 3.) How many ways can you 10 race players finish the top 3 places?

–>720 ways

8. 4.) Find the 79th term in the sequence whose first 5 terms are 2, 11, 20, 29, 38, . . .

–> 704

9. 5.) What is the slope of any vertical lines?

–> undefined

10. 6.) Find the GCF of 360 and 300.

–> 60

Page 5: Basic Algebra.docx

11. 7.) Find the LCM of 360 and 300.

–>1800

12. 8.) What is the sum of the first 5 prime (counting) numbers?

–>28

13. 9.) A circle has perimeter of 18pi units, Find its area.

–> 81pi sq units

14. 10.) Anna can finish a work in 4 hrs while Beth can finish it in 12 hrs. If they will work

together, how many hours will they finish the work?

–> 3 hours

15. If you need more, let us know.  We have thousands of parallel drills to share.

16. Keep exercising!

1. Which sentence is incorrectly punctuated?

A. He already left the house that morning but he forgot his project in TLE.

B. The reference configurations are easy to deploy, manage, and upgrade.

C. Tea lovers may have a hard time sleeping, for the caffeine in tea stimulates the nervous

system.

D. When conducting a lab experiment, make sure that you have the tools, the specimen and

the experiment sheet.

2. Which of the following sentences contains an appositive?

A. Lito, the boy who returned the wallet he found, was praised by his teachers.

B. This sentence contains a subject, a verb and a direct object.

C. If you happen to meet her, please tell her the directors are in the conference room.

D. I want to buy that pretty skirt, which is on sale today.

3. Which of the sentences below contains the correct preposition?

A. His controversial statement will result to a lot of criticism.

B. Let’s meet at around three o’clock.

C. Can I ask a favor of you?

D. It’s difficult to cope up the situation.

4. Which sentence states the idea clearly and has no structural error?

A. Red, Gina and I will be going to the party on Sunday.

B. Me and Mila should start working on our thesis.

C. He hadn’t been him self lately.

Page 6: Basic Algebra.docx

D. The book which is on the desk is mine.

5. Supply the missing verb: The student was sad because he was ________ for his late submission of his school project.

A. called off

B. called up

C. called back

D. called down

Close

Answers1. A (A comma should be placed before “but” because it is a compound sentence. Remember

to add a comma when two independent clauses are joined by the FANBOYS (coordinating

conjunctions).

2. A (An appositive is set off by commas. “the boy who returned the wallet he found” is an

appositive.)

3. C (A. “result to” should be “result in”; B. “at around” is wrong. “At” means exact while

“around” is an estimate. We can either say “at three o’clock” or “around three

o’clock.”; D.“cope up” should be “cope with”. C. We usually hear people say “favor from

you”, but “favor of you” is correct [check Celce-Murcia’s The Grammar Book].)

4. A (B.“Me and Mila” should be “Mila and I” because the pronoun is in the subject position; C.

“him self” should be “himself”; D. “which is on the desk” is an appositive, therefore, it should

be set off by commas.

5. D (A. Called off means to cancel; B. Call up means to bring up/retrieve from memory; C.Call

back means to return call; D. call down means to reprimand)