Practice Standard Form (5.3) - Linear Functions - IB 10 Mathematics – Group 5, Algebra
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Standard form

Practice - Standard form

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Write the equation of a line with slope 3 and y-intercept 4.

💡 Hint: Use the slope-intercept format.

Question 2 Easy

What is the y-intercept of the line \(y = -2x + 5\)?

💡 Hint: Look at the constant term in the equation.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the slope of the line represented by the equation \(y = 5x + 3\)?

5
-5
3
0

💡 Hint: Identify the coefficient of x in the equation.

Question 2

True or False: The x-intercept is found by setting y to zero.

True
False

💡 Hint: Think about the definition of x-intercept.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A recipe calls for 2 cups of flour and 3 cups of sugar. If your budget allows for a linear relationship of total cost as \(C(x) = 5x + 10\) where \(x\) is the number of batches, how will the total cost change with additional batches?

💡 Hint: Consider how each added batch impacts the overall cost in a linear manner.

Challenge 2 Hard

If two lines are given by their equations \(y = 3x + 4\) and \(y = -\frac{1}{3}x + 2\), determine if they are parallel, perpendicular, or neither.

💡 Hint: Calculate the slopes and check the relationship.

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