Maths Standard Year 11 - Module 1 - Lesson 2

Solving One-Step and Two-Step Equations

Practise inverse operations, balanced working and checking solutions by substitution.

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Date
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1. Key Ideas

  • Use inverse operations to isolate the variable.
  • Do the same operation to both sides of the equation.
  • Check a solution by substituting it back into the original equation.

2. Success Criteria

  • I can solve one-step equations accurately.
  • I can solve two-step equations in the correct order.
  • I can explain and verify my answer.

3. Key Terms

EquationA statement showing two expressions are equal.
SolutionA value that makes an equation true.
Inverse operationAn operation that undoes another operation.
Substitution checkReplacing the variable with the answer to test it.

4. Short Answer Questions

1. Solve $x + 7 = 19$ and check your answer. 2 marks

2. Solve $4x = 36$ and check your answer. 2 marks

3. Solve $3x + 5 = 26$ and check your answer by substitution. 3 marks

4. Solve $2(x + 4) = 18$. 2 marks

5. Explain the error: a student solves $5x + 10 = 40$ by dividing 40 by 5 first. 2 marks

5. Success Criteria Proof

A class trip costs $12 plus $4 per student. The total collected is $60. Write an equation, solve it, and check your solution. 4 marks

HSCScience - Printable lesson worksheet - Maths Standard Year 11 - Module 1 - Lesson 2

Feedback Loop Diagram A negative feedback loop showing stimulus, receptor, control centre, effector and response. STIMULUS RECEPTOR CONTROL CENTRE EFFECTOR RESPONSE Negative feedback restores homeostasis detects sends signal sends signal carries out