Maths Standard Year 11 - Module 1 - Lesson 3

Equations from Worded Problems

Practise defining unknowns, translating scenarios into equations, solving and interpreting answers.

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1. Key Ideas

  • Define the variable before writing the equation.
  • Separate fixed charges from repeated rates.
  • Interpret the solution in the original context.

2. Success Criteria

  • I can identify the unknown in a scenario.
  • I can write a correct equation from words.
  • I can solve and explain what the answer means.

3. Translation Process

DefineLet the variable represent the unknown.
TranslateWrite the equation from the scenario.
SolveUse inverse operations.
InterpretAnswer in a sentence.

4. Short Answer Questions

1. Adult tickets cost $18 each plus a $6 booking fee. The total is $78. How many tickets were bought? 4 marks

2. A phone plan costs $18 plus $0.10 per text. The bill is $32. How many texts were sent? 4 marks

3. A kayak hire costs $25 plus $15 per hour. The total is $85. Find the number of hours. 4 marks

4. A student has $125 and spends $9 each week. After some weeks, $53 remains. Find the number of weeks. 4 marks

5. Error Analysis

A student writes $80 + 12p = 260$ but does not define $p$. Explain why this is incomplete, then solve the problem if $p$ means the number of people. 4 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 3