ax + b = c: Real-world Applications
Mathematics
Grade 6
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on solving ax + b = c with real-world context and application problems suitable for Grade 6 students.
Topics covered:
Worksheet Preview
Full preview • 15 questions
ax + b = c: Real-world Applications
Subject: MathematicsGrade: Grade 6
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 6
A
Introduction
Review the formula ax + b = c, where a, b, and c are numbers, and x is the unknown. Solving involves isolating x by undoing multiplication and addition/subtraction steps.
B
Fluency & Practice
Solve the following for x. Show your working in the grid spaces provided.
1.
Solve for x: 3x + 4 = 19.
[2 marks]2.
Calculate x: 5x - 2 = 18.
[2 marks]3.
Find x: 2( x + 3 ) = 14.
[2 marks]4.
Solve for x: 7x + 5 = 33.
[2 marks]C
Problem Solving & Reasoning
Work out these multi-step problems and explain your reasoning.
1.
A bakery sells cupcakes. If the total cost is given by 4x + 2 = 18, where x is the number of cupcakes, how many cupcakes did the customer buy?
[3 marks]2.
A school fundraiser raised $250. If they sold t tickets at $5 each, but also received a donation of $10, write an equation to find out how many tickets were sold. Then solve for t.
[3 marks]3.
A mobile phone plan charges $20 plus $x per gigabyte of data used. If the total bill is $50, write an equation and find out how much data was used.
[3 marks]D
Real-world Applications
Solve these context-based problems involving two-step equations.
1.
A swimming pool's water level increases by 3 liters each hour. After 5 hours, the total increase is 15 liters. Write and solve an equation to find out how many liters the pool originally had if it increased by the same amount each hour.
[3 marks]2.
A car rental costs $50 plus $x per mile driven. If the total cost was $110 for a trip, write and solve an equation to find out how many miles were driven.
[3 marks]E
Challenge & Extension
Attempt these more difficult problems for extension.
1.
Solve for x: 2(3x - 4) + 5 = 23.
[3 marks]2.
A rectangle's length is 2 times its width plus 3 meters. If the perimeter is 30 meters, find the dimensions of the rectangle.
[3 marks]F
Mixed Review
Answer a variety of questions on ax + b = c.
1.
Solve: 6x - 4 = 14.
[2 marks]2.
Write an equation for: A total of $45 is made from 5 items priced equally. Find the price of each item.
[3 marks]G
Error Analysis
Look at these common mistakes. Identify and correct them.
1.
A student solves 2x + 3 = 11 and gets x=4. What is the mistake? Correct the solution.
[3 marks]2.
A student writes the equation as 4x + 2 = 10 and solves for x, getting 2. Is this correct? If not, fix 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