Practice Application: Word Problems - 4 | 3. Simultaneous Equations | IB Class 10 Mathematics – Group 5, Algebra
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4 - Application: Word Problems

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Formulate equations based on this scenario: A bakery sells muffins for $2 and cookies for $1. If 10 muffins and 5 cookies cost $25, and 5 muffins and 10 cookies cost $30.

💡 Hint: Identify the variables that represent the items.

Question 2

Easy

Convert the following word problem: A school has 20 students in a band that plays 2 instruments each. If there are 35 total instruments, how many of each type?

💡 Hint: Define variables for each type of instrument.

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 first step in tackling a word problem involving simultaneous equations?

💡 Hint: Think about what you need to find out.

Question 2

True or False: All simultaneous equations must have parallel lines.

  • True
  • False

💡 Hint: Consider the types of solutions we discussed.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A couple went shopping: if they bought 3 shirts for $25 each and 2 pairs of pants for $30 together, their total spend was $150. If they then bought 5 more shirts at a discount, how much did the discount shirts cost?

💡 Hint: Start with the total equation then break it down by costs.

Question 2

In a fruit shop, the cost of apples and oranges is $10 total. If the price of an apple is $2 more than that of an orange, derive the equations and find the cost of each.

💡 Hint: Define your variables carefully and isolate them in your equations.

Challenge and get performance evaluation