Word problems addition and subtraction

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1. (12+3) – 7 = N

Perform the indicated operations.

The answer is 8.

Solution: (12+3)-7= N 15 – 7 = N 8 = N

2. 4 (6 + 8) = N

Perform the indicated operations.

The answer is 56.

Solution: 4 (6+8) = N 4 (14) = N 56 = N

3. 25 ÷ 5 + 9 = N

Perform the indicated operations.

The answer is 14.

Solution: 25 ÷ 5 + 9 = N 5 + 9 = N 14 = N

4.(18-4) (5+3) = N

Perform the indicated operations.

The answer is 112.

Solution: (18-4) (5+3) = N (18-4) (8) = N 14 (8) = N 112 = N

Tell me which operation/s Tell me which operation/s would you use to solve each would you use to solve each

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1.1. The boy scouts hiked 10 km. then they The boy scouts hiked 10 km. then they hiked 5 km more. How far did they hike?hiked 5 km more. How far did they hike?Operation: Addition

2. Twenty hectares of land are planted with rice. 10 cavans of rice can be harvested per hectare. How many cavans in all can be harvested?Operation: Multiplicatio

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Tell me which operation/s Tell me which operation/s would you use to solve each would you use to solve each

problemproblem

3. After gaining 5 kg, Rico weighed 40 kg . 3. After gaining 5 kg, Rico weighed 40 kg . What was his former weight?What was his former weight?

Operation: Subtraction

4. How many pupils should be accommodated equally in 5 shuttle buses if there are 75 pupils?

Operation: Division

What would you like to be when you grow up?

Capital - can refer to funds raised to support a particular business or project. It also refers to financial resources available for use.

Merchandise- the commodities or goods that are bought and sold in business 

“Word Problems scare me!”

“Word Problems make me nervous!”

“Word Problems?

I just skip them!”

Don’t Worry! With just 4 easy steps, you can become…

a Word Problem Whiz!

Step 1UNDERSTAND the problem.

What does the problem ask for? What facts are given?

Here’s an example:

Mr. Gonzales put up a capital coming

from the following:Bank – P250,000.00Private Loan – P100,000.00Personal Money - P150,000.00The cause of merchandise he bought

was P365, 273.00. How much was left from his capital?

What is asked?

How much was left from his capital

What facts are given? Bank – P250,000.00Private – P100,000.00Personal Money - P150,000.00Cause of Merchandise – P 365, 273.00

Step 2Set a PLAN. Identify the hidden question How will you answer the question?

Should you Add, Subtract, Multiply or Divide?

Mr. Gonzales put up a capital coming

from the following:Bank – P250,000.00Private – P100,000.00Personal Money - P150,000.00The cause of merchandise he bought

was P365, 273.00. How much was left from his capital?

What is the hidden question? How much is the total capital of Mr. Gonzales?

What operations are needed?

Addition & subtraction

Carry out the plan!Step 1

Find the total capital of Mr. Gonzales 250,000 + 100,000 + 150,000

Step 2Find the total merchandise Mr. Gonzales bought P 365, 273.00

Step 3 Find the total capital left from Mr. Gonzales

What is the Number Sentence?

If you wrote…(250,000+100,000+150,000) – 365,273 = N

You’re right!

Now that we UNDERSTAND the problem, and have a PLAN, we’re ready for the

next step!

Step 3

Solve it!!!!!Solution: (250,000+100,000+150,000) – 365,273 =

N 500,000 - 365,273 = N 134, 727 = N

Step 4Check !.

Does your answer fit the question?

We have to find out how much

was left from Mr. Gonzales capital.

We added his capital coming from the different sources and subtract it from the total cost he bought for his merchandise.

Our answer was “ P 134,

727.00” .

It makes sense!

We did it!We are Word

Problem Whizzes!

Here are the steps once more:

Step 1 – UNDERSTAND the problem.

Step 2 – Get a PLAN.

Step 3 – SOLVE it!

Step 4 – Check!.

Group work

Directions: Write the mathematical sentence and solve

Base 1 Juan bought a pair of shoes costing P 925. 00 and

a tie costing P 275.00. He gave the Seller P 2,000.00. How much change did he receive?

2,000- (925.00 + 275.00) = N

Solution:2,000 - (925.00 + 275.00) = N2,000 – 1, 200 = N 800 = N P 800.00 was the change of Juan.

Mathematical Sentence:

Directions: Write the mathematical sentence and solve

Base 2There are 834 pupils in San Isidro Elementary

School and 675 pupils in Sta. Ana Elementary School. Eight hundred pupils from two schools are girls. How many are boys?

(834 + 675 ) – 800 = N

Solution:(834 + 675 ) – 800 = N 1509 – 800 = N 709 = N

709 are boys from the two schools.

Mathematical Sentence:

Directions: Write the mathematical sentence and solve

Base 3Five friends decided to share the expenses for their

picnic. They bought 2 kg of shrimp at P 425.00 per kg , a fried chicken at P 225.00 and fruits for P 400.00. How much was each person’s share for the picnic?

[(2x425) + (225 + 400)] ÷ 5 = N

Solution:[(2x425) + (225 + 400)] ÷ 5 = N[ 850 + (225 + 400)] ÷ 5 = N[ 850 + 625] ÷ 5 = N 1475 ÷ 5 = N 295 = N P 295.00 was the share of each person for the picnic

Mathematical Sentence:

Steps in Solving 2 to 3 – step word problem

Step 1 – UNDERSTAND the problem.

Step 2 – Get a PLAN.

Step 3 – SOLVE it!

Step 4 – Check!.

Directions: Analyze and solve the problem below

In one year, a farmer harvested 1,300 kilograms of pechay and 1,150 kilograms of carrots. He sold the pechay at P 15 per kilogram and the carrots at P30 per kilogram. How much did he get for his harvest?

In one year, a farmer harvested 1,300 kilograms of pechay and 1,150 kilograms of carrots. He sold the pechay at P 15 per kilogram and the carrots at P30 per kilogram. How much did he get for his harvest?

What is asked?

How much did he get for his harvest

What facts are given? 1,300 kg of pechay1,150 kg of carrotsP 15- cost of 1 kg of pechayP 30 – cost of 1 kg of carrots

In one year, a farmer harvested 1,300 kilograms of pechay and 1,150 kilograms of carrots. He sold the pechay at P 15 per kilogram and the carrots at P30 per kilogram. How much did he get for his harvest?

What is the hidden question? How much did the farmer got in selling the pechay?

What operations are needed?

Multiplication & Addition

How much did the farmer got in selling the carrots?

Carry out the plan!Step 1

Find the cost of all the pechay 15 x 11300

Step 2Find the cost of all the carrots 30 x 1150

Step 3 Find the cost of all the pechay and carrots

What is the Number Sentence?

If you wrote…(15x1,300) + (30 x 1,150) = N

You’re right!

Solve it!!!!!Solution:(15x1300) + (30 x 1150) = N19500 + 34500 = N 54000 = N - The farmer got P 54,000 for his harvest

Step 4Check !.

Does your answer fit the question?

Directions: Read the problem below and do what is asked.

Mr. Cruz had P 4,500.00. He spent P 2, 500.00 for food; P 750.00 for transportation and P275.00 for other expenses and divided the rest among his 5 brothers. How much was the share of each?

1. What is asked?2. What is the hidden question 1 ?3. What is the hidden question 2 ?4. Step 15. Step 26. Step 37. What is the number sentence ?8. Solution 9. Answer with the correct unit10.Check your answer

Directions: Read the problem below and do what is asked.

Mr. Lapus earns P 15,236 a month as an accountant. His wife earns P 7,850 a month as a teacher. How much more does Mr. Lapus earn in a year than his wife?

1. What is asked?2. What is the hidden question 1 ?3. What is the hidden question 2 ?4. Step 15. Step 26. Step 37. What is the number sentence ?8. Solution 9. Answer with the correct unit10.Check your answer

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