Q1
What is x in 3x+5=x+11?
A3
B6
C8
D16
ICSEClass 8 (ICSE)MathematicsCh 14 · Topic 1
Linear Equations in One Variable
A linear equation in one variable states that two expressions with one variable are equal, and solving finds the variable's value.
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.