Class 7 Maths Linear Equations in One Variable

Mathematics

Class – 7 Linear Equations in One Variable Worksheet

Chapter – Linear Equations in One Variable

Class – 7

Section A: Multiple Choice Questions (MCQs)

  1. What is the solution to the equation (3x + 7 = 22)?
    a) 5
    b) 4
    c) 7
    d) 6
  2. In the equation (5y – 3 = 2), the value of y is:
    a) 0
    b) 1
    c) 5
    d) 2
  3. If (2a = 14), then a is:
    a) 6
    b) 8
    c) 7
    d) 9

 

  1. Which of the following equations has (x = 3) as its solution?
    a) 2x + 3 = 9
    b) 3x – 2 = 7
    c) x + 4 = 9
    d) 4x = 16
  2. What is the value of x in the equation (x + 5 = 12)?
    a) 6
    b) 8
    c) 7
    d) 9

 

Section B: Fill in the Blanks

  1. The solution of (x – 3 = 5) is __.
    2. In the equation (4y = 24), y equals __.
    3. If (3a + 5 = 20), then a is equal to __.
    4. The equation (x – 2 = 0) has the solution (x = ……..).
    5. To isolate x in (5x = 35), divide both sides by __.

 

Section C: Short Answer Questions (Easy)

  1. Solve: (x + 7 = 15).
    2. Find the value of y in (2y = 18).
    3. Solve the equation: (5a – 3 = 7).
    4. If (4x + 5 = 13), find x.
    5. What is the value of x in the equation (x – 6 = 3)?

 

Section D: Moderate Questions

  1. Solve: (3x + 4 = 22).
    2. Find the value of y for which (5y – 15 = 10).
    3. Solve the equation: (2x + 6 = 14).
    4. What is the value of x in 7x – 3 = 25?
    5. If (6z + 2 = 20), solve for z.

 

Section E: Long Answer Questions

  1. Solve the equation: (4x + 8 = 3x + 15).
    2. If (5y + 3 = 4y + 12), find the value of y .
    3. Determine the value of a in (6a – 5 = 3a + 13).
    4. Solve for x in (2x – 3 = 7x + 12).
    5. What is the solution to the equation (8p – 4 = 6p + 14)?

 

Section F: Word Problems

  1. Rohan’s age is 4 years more than twice his brother’s age. If his brother is \(x\) years old and Rohan is 14 years old, find the age of Rohan’s brother.
  2. A number when multiplied by 3 and then decreased by 7 gives 8. Find the number.
  3. The sum of two consecutive numbers is 37. Write an equation to find the numbers.
  4. Anil has 3 times as many marbles as Sunil. If Sunil has \(x\) marbles and Anil has 21 marbles, find the value of x .
  5. The perimeter of a rectangle is 60 cm. If the width is 8 cm less than the length and the length is \(x\) cm, find the values of length and width.

 

Answer Key

Section A: MCQs

  1. a) 5
    2. d) 2
    3. c) 7
    4. a) (2x + 3 = 9)
    5. c) 7

Section B: Fill in the Blanks

  1. 8
    2. 6
    3. 5
    4. 2
    5. 5

Section C: Short Answer Questions

  1. (x = 8)
    2. (y = 9)
    3. (a = 2)
    4. (x = 2)
    5. (x = 9)

Section D: Moderate Questions

  1. (x = 6)
    2. (y = 5)
    3. (x = 4)
    4. (x = 4)
    5. (z = 3)

Section E: Long Answer Questions

  1. (x = 7)
    2. (y = 9)
    3. (a = 6)
    4. (x = -3)
    5. (p = 9)

Section F: Word Problems

  1. Brother’s age = 5 years
    2. Number = 5
    3. Let the consecutive numbers be x and (x+1); (x + x + 1 = 37) gives (x = 18), so numbers are 18 and 19.
    4. (x = 7)
    5. Length = 19 cm, Width = 11 cm