ax + b = c: Problem Solving & Reasoning
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on solving two-step equations of the form ax + b = c, including procedural practice, reasoning, and real-world applications for Grade 7 students.
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ax + b = c: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer the following questions to practice solving two-step equations. Show your working in the grid spaces provided.
1.
Solve for x: 3x + 5 = 20.
[2 marks]2.
Calculate the value of x: -2x + 7 = 3.
[2 marks]3.
Find x: 5x - 4 = 21.
[2 marks]4.
Solve for x: 2(x + 3) = 14.
[2 marks]B
Problem Solving & Reasoning
Work through these multi-step problems, explaining your reasoning where necessary.
1.
A number x satisfies the equation 4x - 3 = 13. When you solve for x, explain each step involved.
[3 marks]2.
The sum of twice a number and 5 is 17. Write an equation and solve for the number, explaining your steps.
[3 marks]3.
If 2x + 7 = 3x - 1, find x and describe how you solved the equation.
[3 marks]C
Real-world Applications
Apply your knowledge to solve these real-world word problems involving two-step equations.
1.
A bakery sells cupcakes for $3 each. If the total cost for x cupcakes is $21, write an equation and find out how many cupcakes were bought.
[3 marks]2.
A school raises $150 by selling t tickets. If each ticket costs $5, write an equation to find the number of tickets sold and determine the value of t.
[3 marks]D
Challenge & Extension
Attempt these more challenging problems that extend your understanding of two-step equations.
1.
Solve for x: 6(2x - 1) + 4 = 40. Show all steps clearly.
[3 marks]2.
The equation 3(4x + 2) - 5 = 37 is given. Find x and explain your process.
[3 marks]E
Mixed Review & Error Analysis
Answer these mixed questions. For the error analysis, identify and fix the mistake in the given solution.
1.
Solve: 2x + 3 = 11.
[2 marks]2.
The student solves 5x + 2 = 12 as x = 2. Is this correct? If not, fix the mistake and find the correct value.
[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