NCERT Class 7 Maths Chapter 4 Expressions using Letter Numbers Worksheet with Answers

Class 7 Maths Chapter 4 Worksheet

Fill in the Blanks

1. A letter used to represent an unknown number is called a __________.
Answer: Variable

2. In the expression 7x + 5, x is the __________.
Answer: Variable

3. In the expression 8a − 4, −4 is the __________ term.
Answer: Constant

4. The coefficient of y in 9y is __________.
Answer: 9

5. The expression 5m + 3m simplifies to __________.
Answer: 8m

Write True or False

6. Variables are represented by letters.
Answer: True

7. An algebraic expression always contains only numbers.
Answer: False

8. Like terms can be added or subtracted.
Answer: True

9. The coefficient of x in x is 1.
Answer: True

10. Constants change their values.
Answer: False

Short Answer Questions

11. Evaluate 5x + 2 when x = 6.
Answer: 32

12. Evaluate 3a − 4 when a = 8.
Answer: 20

13. Simplify 7m + 5m.
Answer: 12m

14. Write an algebraic expression for "a number increased by 15."
Answer: x + 15

15. Write an algebraic expression for "eight times a number."
Answer: 8x

NCERT Class 7 Maths Chapter 4 Expressions using Letter Numbers MCQ Questions with Answers

Class 7 Maths Chapter 4 MCQs

1. What is a variable?
A. A fixed number
B. A letter representing an unknown value
C. A mathematical operation
D. A constant value
Answer: B

2. In the expression 7x + 5, the variable is:
A. 7
B. 5
C. x
D. 12
Answer: C

3. In the expression 9a − 4, the constant term is:
A. 9
B. a
C. −4
D. 4a
Answer: C

4. The coefficient of x in 12x is:
A. x
B. 12
C. 1
D. 0
Answer: B

5. How many terms are there in 4a + 5b − 9?
A. 2
B. 3
C. 4
D. 5
Answer: B

6. Evaluate 5x + 2 when x = 4.
A. 18
B. 20
C. 22
D. 24
Answer: C

7. Simplify: 6a + 3a
A. 9a
B. 18a
C. 3a
D. 6a
Answer: A

8. Simplify: 10m − 4m
A. 4m
B. 6m
C. 14m
D. 40m
Answer: B

9. Write an expression for "a number increased by 12."
A. x − 12
B. 12 − x
C. x + 12
D. 12x
Answer: C

10. Write an expression for "seven times a number."
A. x + 7
B. 7 + x
C. 7x
D. x ÷ 7
Answer: C

11. Evaluate 2a − 5 when a = 9.
A. 11
B. 13
C. 18
D. 23
Answer: B

12. Which of the following is an algebraic expression?
A. 15 + 8
B. x + 6
C. 25 ÷ 5
D. 18 − 9
Answer: B

13. The value of 3p + 1 when p = 6 is:
A. 18
B. 19
C. 20
D. 21
Answer: B

14. Variables are mainly used to:
A. Represent unknown quantities
B. Replace numbers permanently
C. Show only constants
D. Write tables only
Answer: A

15. Algebraic expressions are useful because they:
A. Represent mathematical relationships
B. Help solve equations and real-life problems
C. Use variables and constants together
D. All of the above
Answer: D

NCERT Class 7 Maths Chapter 4 Expressions using Letter Numbers Extra Questions with Answers

Class 7 Maths Chapter 4 Extra Questions with Answers

Q1. What is an algebraic expression?
Answer: An algebraic expression is a combination of numbers, variables (letters), and mathematical operations.

Q2. Identify the variable in the expression 5x + 7.
Answer: x

Q3. Identify the constant in the expression 8y − 4.
Answer: −4

Q4. How many terms are there in the expression 3a + 5b − 7?
Answer: 3 terms

Q5. Evaluate 4x + 3 when x = 5.
Answer: 23

Q6. Find the value of 2a − 6 when a = 8.
Answer: 10

Q7. Write an expression for "a number increased by 9."
Answer: x + 9

Q8. Write an expression for "five times a number."
Answer: 5x

Q9. What is the coefficient of x in 9x + 4?
Answer: 9

Q10. What is the coefficient of y in 7y − 2?
Answer: 7

Q11. Simplify: 4a + 3a
Answer: 7a

Q12. Simplify: 9x − 2x
Answer: 7x

Q13. Evaluate 3m + 8 when m = 6.
Answer: 26

Q14. Write an expression for "the sum of p and 12."
Answer: p + 12

Q15. Why are variables used in mathematics?
Answer: Variables are used to represent unknown quantities and to write general mathematical expressions and formulas.