Single Variable: Challenge & Extension
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge Grade 7 students on solving equations with substitution for single variables, with a focus on positive values. Includes practice, reasoning, real-world contexts, and extension problems.
Worksheet Preview
Full preview • 12 questions
Single Variable: Challenge & Extension
Subject: MathematicsGrade: Grade 7
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: 3x + 5 = 20.
[2 marks]2.
If y = 2x + 3 and y = 11, find the value of x.
[2 marks]3.
Calculate the value of x: 2(x + 4) = 18.
[2 marks]4.
Find x if 5x - 7 = 3x + 5.
[2 marks]B
Targeted Practice & Reasoning
Solve these multi-step questions and explain your reasoning clearly.
1.
Solve for x: 4(2x - 1) = 3x + 9. Show your working.
[3 marks]2.
A rectangle's length is 2 times its width. If the perimeter is 36 units, find the dimensions of the rectangle.
[4 marks]3.
Solve for x: 7x + 2 = 3x + 14. Explain each step.
[3 marks]C
Real-world Application
Translate the scenario into an algebraic equation and solve.
1.
A mobile plan costs $10 plus $0.05 per minute. If a customer’s bill is $25, how many minutes did they use?
[4 marks]D
Challenge & Extension
Attempt these challenging problems to deepen your understanding.
1.
Solve for x: 3(x - 2) + 4 = 2(2x + 1). Provide detailed steps.
[4 marks]2.
The sum of two positive numbers x and y is 20. If x = 2y - 4, find the values of x and y.
[4 marks]E
Mixed Review & Error Analysis
Solve these problems and review common mistakes. Identify and correct any errors.
1.
Solve for x: 2x + 3 = 7x - 12. Someone incorrectly subtracts 3 from both sides. Correct their mistake and find the solution.
[3 marks]2.
If y = 3x + 4 and y = 19, what is the value of x? A student incorrectly states x = 5. Find the correct x and explain the mistake.
[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