Algebraic Expressions - Worksheets

 CBSE Worksheet-1

CLASS -VII Mathematics (Algebraic Expressions)


Choose correct option in questions 1 to 4.

  1. Multiply 2a and 3a.
    a. 6a2
    b. 5a2
    c. a2
    d. 12a2
  2. Get the algebraic expressions for subtraction of z from y.
    a. y + z
    b. y - z
    c. y × z
    d. yz
  3. Find the value of x + 4 for x = 2.
    a. 2
    b. 4
    c. 6
    d. 8
  4. Find the product of (2x + 3y) (2x + 3y).
    a. 5x2 + 9y2 + 12xy
    b. 4x2 + 7y2 + 12xy
    c. 4x2 + 9y2 + 13xy
    d. 4x2 + 9y2 + 12xy

Fill in the blanks:

  1. When terms have the same algebraic factor, they are called __________.
  2. An expression which contains two unlike terms is called _______.
  3. A _________ can take various values.
  4. Find the product:(23xyz)(34x2y2z2)(45x3y3z3) .
  5. Simplify these expressions and find their values,if x= 3,a= - 1,b= - 2.
    a. 3x- 5a - x+ 9b
    b. 2b - 8x + 4x2 + 4a
  6. Simplify combining like terms:
    a. 3- 2ab - (ab) + 3ab a
    b. 5x2- 5x2 + 3yx2 - 3y2 + x2 - y2 + 8xy2 - 3y2
  7. What should be taken away from 3x2 - 4y2 + 5xy + 20 to obtain - x2 - y2 + 6xy + 20?

CBSE Worksheet-1
CLASS -VII Mathematics (Perimeter and Area)
Answer key


  1. a
  2. b
  3. c
  4. d
    Explanation: (2x + 3y) (2x + 3y) = 2x(2x + 3y) +3y(2x + 3y)
    = 4x2 + 6xy + 6xy +9y2 = 4x2 + 9y2 + 12xy
  5. like terms
  6. binomial
  7. variable
  8. 25x6y6z6
  9. a. -13
    Explanation: when x = 3,a= - 1,= - 2.
    3x- 5a -x2+ 9b = 3x3 - 5 x(-1) - (3)2 + 9 (-2)= 9 + 5 -9 -18 = -13
    b. 4
    Explanation: when x = 3,a= - 1,b = - 2.
    2b - 8x+ 4x2+ 4a = 2(-2) - 8(3) + 4(3)2 + 4(-1) = -4 - 24 + 36 - 4 = 4
  10. a. ab
    Explanation: 3- 2ab - (ab) + 3ab a
    = 3a - 2b - ab - a + b - ab + 3ab + b - a = a + ab

    b. 8x2+ 8xy2 - 4x2 - 7y2
    Explanation: 5x2- 5x2 + 3yx2 - 3y2 + x2 - y2 + 8xy2 - 3y2
    = 8x2- 4x2 - 7y2 + 8xy2
  11. 4x2 - 3y2 - xy
    Explanation: 3x2 - 4y2 + 5xy + 20 - (- x2 - y2 + 6xy + 20)
    = 3x2 - 4y2 + 5xy + 20 + x2 + y2 - 6xy - 20
    = 4x2 - 3y2 -xy