Chapter 4 ยท CBSE Class 7 Maths (NCERT Ganita Prakash)

Expressions Using Letter-Numbers

Use letters to stand for unknown numbers, and learn to build and simplify algebraic expressions from real situations.

๐Ÿ”ค Chapter 4

4.1

Building Expressions from Situations

A letter-number (variable) can represent an unknown quantity. Word phrases translate into algebraic expressions by identifying the operation being described.

1

Munirathnam has some marbles. If he doubles them and adds 5, write this as an expression using m for his marbles.

2m + 5

2

A rectangle's length is 3 more than its width w. Write an expression for the length.

w + 3

4.2

Simplifying Expressions

Terms with the same letter-number part can be combined by adding or subtracting their coefficients, just like combining similar objects when counting.

1

Simplify: 4x + 3x

7x

2

Simplify: 5y + 2 โˆ’ 2y + 3

(5y โˆ’ 2y) + (2+3) = 3y + 5

Practice

Exercises

1. A number n is tripled and then 7 is subtracted. Write this as an expression.

2. A box has b balls. If 4 more boxes with the same number are added, write an expression for the total.

3. Simplify: 6a + 4 โˆ’ 2a + 1

4. Simplify: 8p โˆ’ 3p + 5

5. Ramesh's age is r. In 5 years, his age will be what expression?