Practice Summary (7) - Linear Equations - IB 10 Mathematics – Group 5, Algebra
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Practice Questions

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Question 1 Easy

Define a linear equation.

💡 Hint: Think about what makes a linear equation different from other types.

Question 2 Easy

What is the general form of a linear equation in two variables?

💡 Hint: Remember the variables and coefficients involved.

4 more questions available

Interactive Quizzes

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Question 1

A linear equation can have how many solutions?

One
None
Infinitely many
All of the above

💡 Hint: Think about the different cases for linear systems.

Question 2

True or False: The slope of a line represents the steepness and direction.

True
False

💡 Hint: Recall the meaning of slope in graphs.

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Challenge Problems

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Challenge 1 Hard

A store sells notebooks at $3 each and pens at $1 each. If you buy a total of 15 items for $36, write a system of equations to represent this situation, and solve it.

💡 Hint: Think about how to break down the total items and costs into equations.

Challenge 2 Hard

A student scored 60% on a math exam and needed to achieve an overall average of 70% across two tests. If the second test is worth twice as much as the first, what score is required on the second test?

💡 Hint: Remember to consider the weighting of each test in your equation.

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