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Summaries · Grade 7 Maths › Solving equations
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Solving equations

The balance method: do the same to both sides, and check your answer. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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Solving equations

An equation is like a balanced scale. What you do to one side, you must do to the other.

Rule

3x + 5 = 20 → subtract 5 from both sides: 3x = 15 → divide both sides by 3: x = 5.

Meerkat tip

Always check: 3 × 5 + 5 = 20 ✓.

  • Inspection: x + 7 = 12 → which number plus 7 is 12? x = 5.
  • Trial and improvement: try a number, check, and adjust.
Tap when you could tell someone without looking.

Remember this and test yourself

Remember this: your summary
  • An equation is balanced.
  • Do the same to both sides.
  • Undo + and − first, then × and ÷.
  • Check by substituting back.

Write these points in your book. Read them again the night before the test.

Memory trick

Keep the seesaw level: what happens on the left happens on the right.

Flash cards · Tap to turn over

Important words

First say the answer yourself, then turn the card over.

Now the real quiz!

The quiz has many more questions on this topic. Every question shows straight away whether you are right and explains why.

Take the quiz: Solving equations
For parents
  • Let your child work the examples on paper and explain them to you.
  • The ticks (“I know this”) are saved on this device only. We never ask for names or emails.

Follows CAPS for Grade 7 Mathematics. Always check your teacher’s notes and textbook too.

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