Q1
What is x in 3x+5=x+11?
A3
B6
C8
D16
ICSEClass 8 (ICSE)MathematicsCh 14 · Topic 2
Practice and Revision - Linear Equations in One Variable
Let us practise and revise what we learned about linear equations in one variable. A linear equation in one variable states that two express
Core concept
To solve equations with variables on both sides, like 3x+5 = x+11, we first move variables to one side and constants to the other.
How it works
For 3x+5 = x+11, we get 3x-x = 11-5, giving 2x=6, so x=3.
Why it matters
Equations with fractions require clearing denominators first, often by multiplying through by the least common denominator.
Key detail
Solving linear equations is a fundamental algebra skill used in many real-life applications, like calculating unknown costs or quantities.
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Quick notes
• Move variables to one side, constants to the other.
• 3x+5=x+11 becomes 2x=6, so x=3.
• Equations with fractions need clearing denominators.
• Multiply through by the LCD to clear fractions.
• Solving linear equations is fundamental algebra.
• It applies to real-life unknown calculations.
• Practice builds equation-solving confidence.
• This skill extends to more complex equations later.