Linear Equations (Sec 1) Practice
Solve linear equations with one unknown β including those with fractions, brackets, and variables on both sides. Master the systematic method of 'balancing' equations and translate word problems into equations.
Common Mistakes to Avoid
Moving a term to the other side without changing its sign
Multiplying only part of a fraction equation (must multiply ALL terms)
Setting up the wrong equation for a word problem
Practice Questions
Try each question. When you're stuck, reveal the Socratic strategy β a guided hint that teaches you how to think, not just what to write.
Solve for x: 2(x + 3) = 14.
Solve for y: (3y)/4 = 9.
Five more than twice a number is 21. Find the number.
Parent & Tutor Insight
Equation solving is a skill that rewards consistent method over clever shortcuts. Encourage your child to always write out 'LHS = RHS' step-by-step, even for simple equations. Neat working is also a presentation mark in many schools.
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Common Questions
How do I check if my equation solution is correct?
Substitute your answer back into the original equation and check that both sides are equal. This is the most reliable method and also demonstrates understanding to the examiner.
What happens when I get a negative or fractional answer?
Negative and fractional answers are completely valid in Secondary Math. Unlike primary school, there are no restrictions. Always verify by substitution β if it satisfies the equation, it is correct.
How do I handle equations with fractions?
Multiply every term on both sides by the LCM of all denominators. This clears all fractions and converts the equation to a simpler whole-number equation. For example: x/2 + x/3 = 5. LCM = 6: multiply through by 6 β 3x + 2x = 30 β x = 6.