Simple Equations — Previous Year Questions (Class 7 Mathematics)
Solve linear equations in one variable. Master the art of balancing equations and algebraic manipulation.
TL;DR: Solve linear equations in one variable. Master the art of balancing equations and algebraic manipulation.
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Solve linear equations in one variable. Master the art of balancing equations and algebraic manipulation.
Simple Equations — Previous Year Questions with Solutions
Q (2023, 1 mark): Solve: x + 5 = 12
Answer: x + 5 = 12
Subtract 5 from both sides:
x = 12 - 5
x = 7
Q (2022, 1 mark): Solve: 3x = 18
Answer: 3x = 18
Divide both sides by 3:
x = 18/3
x = 6
Q (2023, 2 marks): Solve: 2x + 5 = 13
Answer: 2x + 5 = 13
Subtract 5 from both sides:
2x = 13 - 5
2x = 8
Divide by 2:
x = 4
Verification: 2(4) + 5 = 8 + 5 = 13 ✓
Q (2022, 3 marks): Solve: (x/3) - 2 = 4
Answer: x/3 - 2 = 4
Add 2 to both sides:
x/3 = 6
Multiply by 3:
x = 18
Verification: 18/3 - 2 = 6 - 2 = 4 ✓
Q (2023, 3 marks): A number is 8 more than half of itself. Find the number.
Answer: Let the number be x.
According to the problem: x = x/2 + 8
Subtract x/2 from both sides:
x - x/2 = 8
x/2 = 8
Multiply by 2:
x = 16
Verification: 16 = 16/2 + 8 = 8 + 8 = 16 ✓
Q (2022, 3 marks): The sum of three consecutive integers is 30. Find the integers.
Answer: Let the three consecutive integers be x, x+1, x+2.
Sum = x + (x+1) + (x+2) = 30
3x + 3 = 30
3x = 27
x = 9
The three integers are 9, 10, 11.
Verification: 9 + 10 + 11 = 30 ✓
Frequently Asked Questions
What does it mean to solve an equation?
Solving an equation means finding the value of the unknown variable that makes the equation true. We use inverse operations to isolate the variable on one side of the equation.
Why do we perform the same operation on both sides?
The equation represents a balance. To maintain equality, any operation performed on one side must be performed on the other side. This keeps the equation balanced and true.
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