First-Degree Equations

Mathematics & Logics

INTRODUCTION

Equations are useful to solve various daily life problems, especially the 1st degree equations which apply to everything, from your supermarket shopping to your future salary!

This WebQuest will help you learn to solve simple one and two step 1st degree equations, with many mathematical operations and a little… colouring!

TASK

Your task is to find your way to the END of the maze.

First, create teams of 3-4 persons. Then you will be given a maze with squares and numbers.

Each square is one of the following problems. The numbers are the possible answers. Solve the problems, find the solution, and follow the path from the START to the END. If you colour the path, it will be easier for you.

 

Problems:

P1: Peter is eleven times the age of his daughter. In 6 years, Peter will be five times the age of his daughter. What is the current age of Peter?

P2: A gymnasium has 350 students. The 1st grade has 20 students more than the 2nd grade and the 3rd grade has 32 less than the 1st grade. How many students does the 3rd grade have?

P3: If the students of a class sit in pairs on the desks, then 4 students remain standing. But if they sit in threes, then there will be 3 empty desks. How many students are there in the class?

P4: A cyclist travels a distance between two cities in 3 hours. If he increases his speed by 3 km / h, he will save half an hour. How long will the journey take if he drives at a speed of 3 km / h less than the first speed?

P5: The length and width of a rectangle are 10 cm and 6 cm, respectively. If its length increases by 5 cm, how much must its width be increased to double its area?

P6: One mother is 33 years old, and her daughter is 7 years old. After how many years will the mother be three times older than her daughter?

P7: There are 40 people at a party. If 8 boys leave and 2 girls come, then the number of boys is equal to the number of girls. How many girls were there in the beginning?

P8: Michael bought a painting giving a specific amount of money and bought a frame giving the same amount of money. If the frame cost 15€ less and the painting 10€ more, then the frame would cost half the painting. How much did the painting cost?

P9: A poultry farmer sold 1/3 of the eggs he had and 2 more, then he sold 4/5 of the rest and 2 more. So, he had 28 eggs left. How many eggs did he have in the beginning?

P10: One tap fills a tank in 12 minutes, another in 20 minutes and a third in 30 minutes. Find in how many minutes the tank will fill if all three taps run together.

P11: There are animals, chickens and goats, on a farm. If the animals have a total of 120 legs and 50 heads, how many goats are there?

P12: In a test with 10 questions each correct answer is scored with 5 points, while for each wrong answer 3 points are deducted. John got 26 points in the test. How many questions did he answer incorrectly?

P13: A theatrical performance was attended by a total of 100 parents and children. The receipts were € 590€. If each child paid 5€ and each parent 8€, how many parents were there?

P14: A pair of pants costs 125 € and we paid 95 €. How much per cent discount did they give us?

PROCESS

1. Get the power to reach the end.

What you absolutely need to know are what is and how you can solve a 1st-degree equation.

 

2. START = PROBLEM 1

The first step of your maze is PROBLEM 1 (P1). You need to solve this to start your path.

P1: Peter is eleven times the age of his daughter. In 6 years, Peter will be five times the age of his daughter. What is the current age of Peter?

So, this is a real-life problem. You have to translate the words into a 1st-degree equation, solve the equation and then you will know how to move.

 

3. Show you power…

Every box you come up with is a different problem. Every problem has one unique solution. Find this solution and continue your path to the END.

Do not forget to colour the path. It will be easier for you to keep up with it!

Choose one of the Following Mazes.

Maze no1 Maze no2

 

4. THE END…

You have reached the END and now you have the path. Each path consists of equations. You need to deliver your teacher the equations’ solution.

 

5. EXTRA…FUN

You may try to solve all the other equations, which are not included in the path. All the problems are real-life situations you may come up in the future… Why don’t you give it a try?

 

CONCLUSION

This WebQuest aims at understanding the meaning of the first-degree equations, and how to use them to solve everyday problems.

Students are expected to develop their mathematical and logic skills. It is a necessary and highly beneficial course that can be used later in life to solve everyday problems.

Funded by
sCOOL-IT erasmus logo EN

The European Commission’s support for the production of this publication does not constitute an endorsement of the contents, which reflect the views only of the authors, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

Talk To Us

t: +357 2466 40 40
f: +357 2465 00 90
escool.it@scool-it.eu

Funded by
sCOOL-IT erasmus logo EN

The European Commission’s support for the production of this publication does not constitute an endorsement of the contents, which reflect the views only of the authors, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

Talk To Us

t: +357 2466 40 40
f: +357 2465 00 90
escool.it@scool-it.eu

Funded by
sCOOL-IT erasmus logo EN

The European Commission’s support for the production of this publication does not constitute an endorsement of the contents, which reflect the views only of the authors, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

Talk To Us

t: +357 2466 40 40
f: +357 2465 00 90
escool.it@scool-it.eu

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