ax = b: Real-world Applications
Mathematics
Grade 6
17 questions
~34 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on solving ax = b through real-world applications, designed for Grade 6 students to develop procedural mastery and problem-solving skills.
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Full preview • 17 questions
ax = b: Real-world Applications
Subject: MathematicsGrade: Grade 6
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Date:
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: 5x = 20.
[2 marks]2.
Calculate the value of x: 12x = 36.
[2 marks]3.
Find x: 3x = 15.
[2 marks]4.
Solve for x: x/4 = 3.
[2 marks]5.
Calculate x in the equation: 8x = 64.
[2 marks]6.
If a shirt costs $24 and this is 6 times the cost of one shirt, what is the cost of one shirt? Write an equation and solve for x.
[3 marks]7.
A factory produces 7 times as many widgets as a small workshop. If the workshop produces 9 widgets, how many does the factory produce? Set up and solve an equation.
[3 marks]8.
A recipe calls for 3 cups of sugar for every 2 cups of flour. If a baker uses 18 cups of flour, how many cups of sugar are needed? Formulate and solve an equation.
[3 marks]9.
Construct an equation to find x if 4x = 48, then solve for x.
[2 marks]10.
Solve for x: x/5 = 9.
[2 marks]11.
A car travels 60 miles in x hours. If the speed is 30 miles per hour, find x.
[3 marks]12.
A gardener plants 4 times as many roses as tulips. If she plants 24 tulips, how many roses does she plant? Set up and solve the equation.
[3 marks]B
Challenge & Extension
Attempt these challenging problems for extra practice.
1.
A mobile phone plan costs $x per month. After a discount, the new cost is $12 less. If the discounted price is $18, find the original price x. Write and solve the equation.
[3 marks]2.
A factory produces 5 times as many products as a small workshop. If the workshop produces 8 products, how many does the factory produce? Formulate and solve the equation.
[3 marks]C
Mixed Review
Solve these questions to review different types of problems involving ax = b.
1.
Solve for x: 7x = 49.
[2 marks]2.
Determine x if x/3 = 4.
[2 marks]D
Error Analysis
Below is a common mistake made when solving ax = b. Identify and correct it.
1.
Student's solution: x = 8, from solving 4x = 32 by subtracting 4. What mistake did the student make? Correct the mistake and find the correct answer.
[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