Year 10 - Maths
Checking and securing understanding of interpreting graphs
Simultaneous equations: 2 variables
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will learn to solve a pair of simultaneous equations from different starting points and cases using a variety of strategies.
Lesson Summary
You will learn to read and interpret points from a graph to solve problems.
Key Notes
- If you have one value, you can use a linear graph to find its pair.
- The pair of values will satisfy the linear equation.
- If the x and y variables have context, then their values can be interpreted within that context.
- With quadratic graphs, there may be more than one value to find.
Vocabulary To Learn
- Quadratic: A quadratic is an equation whereby the highest exponent of the variable is 2; the graph of which forms a parabola.
- Linear: The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Common Mistakes To Avoid
- Substituting with negative values.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If you have one value, you can use a linear graph to find its pair. The pair of values will satisfy the linear equation.
2. Use this key word in a maths sentence and explain it clearly. 'Quadratic'
A quadratic is an equation whereby the highest exponent of the variable is 2; the graph of which forms a parabola. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Substituting with negative values. Correction: Putting brackets around all substituted values is good practice.
More Lessons In This Unit
- Combining equations Study Guide
- Forming simultaneous equations Study Guide
- Problem solving with linear and quadratic simultaneous equations Study Guide
- Problem solving with simultaneous equations Study Guide
- Solving a quadratic and linear pair of simultaneous equations graphically Study Guide
- Solving a quadratic and linear pair of simultaneous equations using elimination Study Guide
- Solving a quadratic and linear pair of simultaneous equations using substitution Study Guide
- Solving algebraic simultaneous equations by elimination Study Guide
- Solving more complex simultaneous equations by elimination Study Guide
- Solving simultaneous equations by elimination from a context Study Guide
- Solving simultaneous equations via any method Study Guide
- Solving simultaneous linear equations by substitution Study Guide
- Solving simultaneous linear equations graphically Study Guide
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