y = mx + c Form: Error Analysis & Misconceptions
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and applying the y = mx + c form, identifying common errors, and developing misconceptions in solving simultaneous equations.
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y = mx + c Form: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Write the equation of a line with a gradient of 3 passing through the point (2, 5).
[2 marks]2.
Given y = 2x + 4, find the value of y when x = 7.
[2 marks]3.
Construct the graph of y = -x + 2 on the grid.
[3 marks]B
Problem Solving & Reasoning
Answer all questions, showing your reasoning clearly.
1.
Two lines are given: y = 4x + 1 and y = -x + 5. Find their point of intersection.
[4 marks]2.
Explain why the equation y = 2x + 3 cannot be the same as y = -2x + 7 at the same point.
[3 marks]C
Real-world Applications
Read the scenario and answer the questions.
1.
A car rental company charges a flat fee of $50 plus $0.20 per mile. Write an equation in y = mx + c form for the total cost y based on miles x.
[2 marks]2.
If a customer drives 150 miles, what is the total cost?
[2 marks]D
Challenge & Extension
Attempt these more difficult questions to extend your understanding.
1.
Construct an equation in the form y = mx + c where the line passes through (1, 2) and has a slope of -3. Then, find y when x = 4.
[4 marks]2.
A line in y = mx + c form has a slope of 0.5 and crosses the y-axis at 2. Write its equation and plot a point at x = 6.
[3 marks]E
Mixed Review & Error Analysis
Identify the mistake in each problem and correct it.
1.
A student writes the equation y = 2x + 5 as y = 5 + 2x and claims it is different. Is this correct? Explain.
[2 marks]2.
A mistake is made by writing y = 3x - 4 and then claiming it passes through (2, 2). Is this correct? Fix the mistake.
[3 marks]3.
Identify the error: A student plots y=2x + 3 but draws the line passing through (0, 4). Is this correct? Correct the equation.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet