Practice Summary (6) - Simultaneous Equations - IB 10 Mathematics – Group 5, Algebra
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Practice Questions

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Question 1 Easy

Solve using substitution: 𝑥 + 𝑦 = 7, 2𝑥 − 𝑦 = 4.

💡 Hint: Rearrange the first equation for y, then substitute.

Question 2 Easy

Using elimination, solve: 3𝑥 + 2𝑦 = 16, 𝑥 + 𝑦 = 5.

💡 Hint: Multiply the second equation by 2 to match coefficients.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a simultaneous equation?

💡 Hint: Think of how these equations interact.

Question 2

If lines intersect at one point, what type of solution does it represent?

One solution
No solution
Infinite solutions

💡 Hint: Visualize the graph!

2 more questions available

Challenge Problems

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Challenge 1 Hard

You have a basket of fruits with apples and oranges totaling $30. If each apple costs $3 and each orange costs $2, and the total number of fruits is 15, how many of each fruit do you have?

💡 Hint: Formulate a system of equations based on the information given.

Challenge 2 Hard

A school has a total of 300 students. The number of boys is twice the number of girls. What’s the number of boys and girls?

💡 Hint: Set equations based on the relationships defined.

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