ax = b: Error Analysis & Misconceptions
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet explores common errors and misconceptions when solving one-step equations of the form ax = b. It encourages students to analyze mistakes and reinforce procedural understanding.
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ax = b: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Fluency & Practice
Solve the following equations. Show your working in the grid spaces provided.
1.
Solve for x: 5x = 20
[2 marks]2.
Solve for x: -3x = 15
[2 marks]3.
Solve for x: 8x = -32
[2 marks]B
Problem Solving & Reasoning
Read the problem carefully and explain your reasoning as you solve.
1.
A recipe requires 3x cups of sugar. If you need 15 cups, solve for x to find how many cups of sugar are needed per part.
[3 marks]2.
A factory produces 60 toys in a day. If each worker makes x toys per hour and works 8 hours, write an equation for total toys produced and solve for x.
[4 marks]C
Real-world Applications
Apply your understanding to solve these practical problems.
1.
A car rental charges $50 plus x dollars per day. If a customer pays $150 total, find the daily rate x.
[2 marks]2.
A school bus travels x miles per hour. It takes 3 hours to travel 180 miles. Write and solve an equation for x.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems to extend your understanding.
1.
Solve for x: rac{4}{x} = 8. Explain why dividing 4 by x is different from multiplying both sides by x.
[4 marks]2.
If a number x satisfies 2x = 10, but a student writes x = 20, identify the mistake and correct it.
[3 marks]E
Mixed Review
Answer these questions which mix different types of problems on ax = b.
1.
Solve for x: 12x = 48
[2 marks]2.
A gardener plants x trees. If she plants 0.5 x trees per day and plants 20 trees in total, find x.
[3 marks]3.
A student solves the equation 7x = 35 and gets x = 5. Is this correct? Why or why not?
[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