Practice Word Problem Example - 5.1 | 1. Linear Equations | IB Class 10 Mathematics – Group 5, Algebra
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5.1 - Word Problem Example

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

If a bus charges a fixed fee of $3 plus $1.50 for each kilometer, what is the equation for calculating the total cost?

💡 Hint: Identify the fixed and variable costs.

Question 2

Easy

A pizza shop charges $10 for delivery plus $2 per pizza. Write the formula for the total cost of 'p' pizzas.

💡 Hint: Look for both the base cost and the per-pizza charge.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the equation for calculating the cost of a taxi ride that charges $5 for base fare and $2 per km?

  • C = 2x + 5
  • C = 5 + 2x
  • Both of the above

💡 Hint: Think about the order of addition.

Question 2

True or False: The cost function can change based on the distance traveled.

  • True
  • False

💡 Hint: If you think of fixed and variable costs, which part changes?

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A car rental service charges $50 per day plus an additional $0.25 per mile driven. Write the equation for calculating the total cost for renting a car for 'd' days and driving 'm' miles. Then find the cost of renting for 3 days and driving 100 miles.

💡 Hint: Break down what each component of the cost equation represents.

Question 2

A subscription service charges $30 per month plus $5 for each additional channel. If a customer wants 'c' extra channels, determine the cost. Calculate for 6 additional channels.

💡 Hint: Identify both base and additional costs in the scenario.

Challenge and get performance evaluation