CBSE Class 7 Mathematics/ Algebraic Expressions- Chapter 12

CBSE Class 7 Mathematics/Algebraic Expressions is about some model questions that you can expect for yearly examination. Here you can find out practice problems for class 7 Mathematics.

CBSE Class 7 Mathematics /Algebraic Expressions – Chapter 12
Important Questions for Yearly Examination

Answer the following:

  1. What are the coefficients of x in the following expressions?
    a) 5x – 2y
    b) 8 – x + y
    c) 3y – 4xy

    Solution:
    a) Coefficient of x is 5
    b) Coefficient of x is -1
    c) Coefficient of x is -4y
  2. Which of the following pairs of terms are of like terms and which are of unlike terms?
    a) 3x, 8y
    b) -3ba, 5ab
    c) 5xy, 5x

    Solution:
    a) Since the variables in the terms are different, 3x and 8y are unlike terms.
    b) Since the terms have the same algebraic factors, -3ba and 5ab are like terms.
    c) Since the variables in the terms are different, 5xy and 5x are unlike terms
  3. Get the algebraic expressions in the following cases using variables, constants and arithmetic operations:
    a) Number 3 added to twice the product of numbers a and b
    b) Product of numbers x and y subtracted from 12
    c) One third of the sum of numbers x and y

    Solution:
    a) 3 + 2ab
    b) 12 – xy
    c) 1/3 (x + y)
  4. Add
    a) 7m – 5n, 3n – 4m + 2, 6m + 2n + 1
    b) a + b – 3, b – a + 3, a – b + 3

    Solution:
    a) 7m – 5n + 3n – 4m + 2 + 6m + 2n + 1 = (7m – 4m + 6m) + (-5n + 3n + 2n) + 2 + 1
    = 9m +3
    b) a + b – 3 + b – a + 3 + a – b + 3 = (a – a + a) + (b + b – b) + (-3 + 3 + 3)
    = a + b + 3
  5. What should be subtracted from 3xy + 6x – 8y +9 to get 1?
    Solution:
    To get 1, we need to subtract 3xy + 6x – 8y + 8 from 3xy + 6x – 8y + 9

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