Algebraic Expressions Worksheet for Class 7

Algebraic Expressions Worksheet for Class 7

Algebraic Expressions Worksheet for Class 7

What Are Algebraic Expressions?

An algebraic expression is a mathematical phrase made up of numbers, variables, and operations such as addition, subtraction, multiplication, and division.

Examples:

  • x + 5
  • 3y – 2
  • 7a + 4b
  • 2m – 3n + 8

In algebraic expressions, letters such as x, y, and z are called variables.

Exercise 1: Identify Variables and Constants

Write the variables and constants in each expression.

  1. x + 8
  2. 5y – 3
  3. 7a + 10
  4. 9m – 2n
  5. 4p + 6q – 5
  6. 3x + 12
  7. 2a – 9
  8. 5k + 7
  9. b – 11
  10. 6t + 4

Exercise 2: Identify the Coefficient

Find the coefficient of the variable.

  1. 7x
  2. 9y
  3. 15a
  4. 4m
  5. 12p
  6. 18b
  7. 20k
  8. 11n
  9. 14t
  10. 25z

Exercise 3: Classify the Expressions

Write whether the expression is a monomial, binomial, or trinomial.

  1. 5x
  2. x + 3
  3. a + b + c
  4. 7m
  5. p – 5
  6. x + y + z
  7. 10n
  8. 4a – 3b
  9. k + m + n
  10. 8t

Exercise 4: Simplify Like Terms

  1. 3x + 5x
  2. 7a + 2a
  3. 10y – 4y
  4. 8m + 6m
  5. 12p – 5p
  6. 9k + 11k
  7. 15b – 7b
  8. 20t + 10t
  9. 14n – 8n
  10. 6x + 4x

Exercise 5: Evaluate the Expressions

Find the value of each expression.

  1. x + 7 when x = 5
  2. 3y when y = 4
  3. 2a + 5 when a = 6
  4. 4m – 3 when m = 8
  5. 5p + 2 when p = 3
  6. 7n – 4 when n = 5
  7. 2k + 10 when k = 7
  8. 3t – 1 when t = 9
  9. 6b + 4 when b = 2
  10. 8z – 6 when z = 5

Exercise 6: Fill in the Blanks

  1. In the expression 5x + 3, x is a _______.
  2. The number multiplied by a variable is called the _______.
  3. An expression with one term is called a _______.
  4. An expression with two terms is called a _______.
  5. An expression with three terms is called a _______.
  6. The coefficient of 9y is _______.
  7. The coefficient of 15a is _______.
  8. Like terms have the same _______.
  9. 4x + 6x = _______.
  10. 8a – 3a = _______.

Multiple Choice Questions

  1. Which of the following is a variable?
    a) 5
    b) 10
    c) x
    d) 7
  2. What is the coefficient of 12m?
    a) m
    b) 12
    c) 1
    d) 0
  3. Which is a binomial?
    a) 5x
    b) x + y
    c) a + b + c
    d) 7
  4. Simplify: 4x + 3x
    a) 7
    b) x
    c) 7x
    d) 12x
  5. Evaluate 2a + 3 when a = 4.
    a) 8
    b) 10
    c) 11
    d) 12

Answer Key

  1. 8x
  2. 9a
  3. 6y
  4. 14m
  5. 7p
  6. 20k
  7. 8b
  8. 30t
  9. 6n
  10. 10x
  11. 12
  12. 12
  13. 17
  14. 29
  15. 17
  16. 31
  17. 24
  18. 26
  19. 16
  20. 34
  21. Variable
  22. Coefficient
  23. Monomial
  24. Binomial
  25. Trinomial
  26. 9
  27. 15
  28. Variable
  29. 10x
  30. 5a
  31. c
  32. b
  33. b
  34. c
  35. c

Tips for Solving Algebraic Expressions

  • Identify variables and constants carefully.
  • Combine only like terms.
  • Remember that coefficients are the numbers attached to variables.
  • Substitute values correctly while evaluating expressions.
  • Practice regularly to improve algebra skills.