Mathematics
ALGEBRA
ALGEBRA
In this topic, students will learn how to translate real-life situations into algebraic equations and solve them. Word problems are a way to connect mathematics to everyday life. Students will explore problems involving unknown quantities, represented by variables such as x, and learn how to apply the four basic operations—addition, subtraction, multiplication, and division—to form equations.
Algebraic equations
Generate simple algebraic equations
Generate simple algebraic equations
Activity 23
The picture below illustrates the common terms used for various mathematical operations.
Activity 24
Study the following examples
Activity 25
Observe the following examples
Exercise 42
Formulate algebraic equations
- The sum of a number and 15 is 23.
- The difference between a number and 4 is 16.
- A number multiplied by 5 equals 35.
- A number divided by 3 plus 2 equals 8.
- Double a number decreased by 1 is 13.
- Eight more than twice a number equals 24.
- Nine less than three times a number is 12.
- A number increased by 4 and then multiplied by 2 is 24.
- A number divided by 2 and then increased by 5 is 13
- Six more than half of a number is 14.
Solve simple algebraic equations involving fractions with the same denominators
Solve simple algebraic equations involving fractions with the same denominators
Activity 26
Study the following examples, and then solve the below algebraic equations
Exercise 43
Solve the following
Solve simple algebraic equations involving fractions with different denominators
Solve simple algebraic equations involving fractions with different denominators
Activity 27
Observe the following examples
Exercise 44
Solve the following problems
Word problems on algebraic equations
Key terms used in word problems
Solve simple word problems
Identify key word from word problems
Example 48
Study the following examples
Exercise 45
Solve the following problems
- Twice a number minus 9 equals 25. What is the number?
- The sum of one-third of a number and 8 equals 20. Find the number.
- A number divided by 7 gives 11. What is the number?
- Three times a number plus 4 equals 19. What is the number?
- One-fourth of a number minus 5 equals 3. Find the number.
- Five times a number divided by 2 equals 25. What is the number?
Solve word problems involving fractions
Solve word problems involving fractions
Activity 28
Study the following examples
Exercise 46
Solve the following problems
- 1. Salma bought a packet of sweets. She shared them equally among 2 friends, and each friend received 7 sweets. How many sweets were in the packet?
- 2. A farmer harvested some mangoes. He gave away half of them and then added 3 more to the basket. Altogether, he had 9 mangoes left. How many mangoes were harvested?
- 3. A boy had some marbles. He gave away one-fifth of them and then added 2 more marbles to his collection. Now he has 5 marbles. How many marbles did he start with?
- 4. A group of children shared a packet of biscuits equally among 6 of them. Each child received 2 biscuits. How many biscuits were in the packet?
- 5. Salma bought a packet of sweets. She shared them equally among 2 friends, and each friend received 7 sweets. How many sweets were in the packet?
- 6. A farmer harvested some mangoes. He gave away half of them and then added 3 more to the basket. Altogether, he had 9 mangoes left. How many mangoes were harvested?
- 7. A boy had some marbles. He gave away one-fifth of them and then added 2 more marbles to his collection. Now he has 5 marbles. How many marbles did he start with?
- 8. A group of children shared a packet of biscuits equally among 6 of them. Each child received 2 biscuits. How many biscuits were in the packet?
- 9. A teacher distributed some pencils equally among 5 pupils. Each pupil received 4 pencils. How many pencils did the teacher distribute?
- 10. A basket contained some oranges. When the oranges were shared equally among 4 children, each child got 3 oranges. How many oranges were in the basket
- 11. A shopkeeper packed some apples into 3 bags. Each bag contained 6 apples. How many apples did the shopkeeper pack?
Listening to this topic
