ax = b: Challenge & Extension
Mathematics
Year 9
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet designed to develop procedural skills and deeper understanding of solving one-step equations of the form ax = b, including real-world applications and challenging extensions.
Worksheet Preview
Full preview • 15 questions
ax = b: Challenge & Extension
Subject: MathematicsGrade: Year 9
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Solve the following equations for x. Show all working in the grid spaces provided.
1.
Solve for x: 5x = 20
[2 marks]2.
Find x: -3x = 15
[2 marks]3.
Calculate x: 0.8x = 2.4
[2 marks]4.
Determine x: 7x = -14
[2 marks]B
Problem Solving & Reasoning
Solve these multi-step problems and explain your reasoning.
1.
A recipe requires 3x cups of sugar. If the total sugar used is 15 cups, find x and explain your steps.
[4 marks]2.
A car travels at a speed of 4x km/h. If the trip covers 48 km, find x and justify your calculation.
[4 marks]C
Real-world Applications
Solve the following problems set in real-life contexts.
1.
A factory produces y items each day. If the total production is 560 items in a week, and production is the same each day, find y.
[3 marks]2.
A gym charges a fee of 12x dollars for membership. If the total income from memberships is $576, find x.
[3 marks]D
Challenge & Extension
Tackle these more difficult problems and extensions. Show detailed working.
1.
Solve for x: 2(3x - 4) = 20. Explain each step.
[4 marks]2.
Given the equation 8x/2 = 16, find x and justify your approach.
[4 marks]E
Mixed Review
Answer these questions to review various aspects of ax = b.
1.
Solve for x: x/5 = -3
[2 marks]2.
Construct an equation of the form ax = b where a=4 and x=7. Write the equation.
[2 marks]3.
Plot the graph of y=2x on the grid.
[3 marks]F
Error Analysis
Review these incorrect solutions. Identify and correct the mistakes.
1.
Student's solution: 3x=12, so x=12. Correct the mistake.
[3 marks]2.
Student's calculation: -6x=18, so x=-3. Is this correct? Explain.
[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