Maths Standard Year 11 - Module 1 - Lesson 8

Formula and Equation Synthesis

Practise choosing the strategy before solving mixed practical algebra problems.

Name
Date
Class

1. Key Ideas

  • Choose the strategy before calculating.
  • Define variables when writing equations.
  • Interpret the final answer with units and context.

2. Strategy Guide

  • Known inputs: substitute.
  • Known total, unknown input: solve an equation.
  • Required variable is not alone: rearrange first.
  • Table or pattern: find starting value and repeated change.

3. Mixed Questions

1. A hire company charges $35 plus $18 per hour. The total cost is $143. Find the hire time. 4 marks

2. Use $d = st$ to find time when $d = 210$ km and $s = 70$ km/h. Rearrange before substituting. 3 marks

3. A table has outputs 14, 20, 26, 32 for inputs 0, 1, 2, 3. Write a formula and test it using input 3. 4 marks

Input0123
Output14202632

4. Use $A = s^2$ to find the area of a square with side length 9.5 m. 2 marks

5. A student says $D = 0.01(60)^2 + 0.3(60)$ equals 540. Find the correct value and explain the likely error. 3 marks

4. Reflection

Write a three-step checklist for deciding how to solve a mixed formula or equation question. 3 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 8