Practice Practice Exercises (5) - Simultaneous Equations - IB 10 Mathematics – Group 5, Algebra
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Practice Exercises

Practice - Practice Exercises

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve using substitution: x + y = 7; 2x - y = 4.

💡 Hint: Rearrange the first equation for y.

Question 2 Easy

Solve using elimination: 2x + 4y = 10; x - 2y = 1.

💡 Hint: Align coefficients to eliminate a variable.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first step in the substitution method?

Rearranging one equation
Graphing the equations
Adding the equations

💡 Hint: Think about what we do to replace a variable in an equation.

Question 2

True or False: The elimination method involves nullifying a variable.

True
False

💡 Hint: Consider what happens when we combine the equations strategically.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Calculate the price of each item sold at a flea market: If a vendor sells hats for $15 and shirts for $20. If 4 hats and 3 shirts cost $90, and 2 hats and 5 shirts cost $110, find the prices.

💡 Hint: Form equations based on costs and quantities.

Challenge 2 Hard

A farmer has chickens and cows. If he has a total of 20 animals and he counts 56 legs, how many of each animal does he have?

💡 Hint: Let c be chickens and h be cows; formulate based on animals and legs.

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