Practice No Solution (parallel Lines) (3.1) - Simultaneous Equations - IB 10 Mathematics – Group 5, Algebra
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No Solution (Parallel Lines)

Practice - No Solution (Parallel Lines)

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Identify if the following equations have solutions: 𝑦 = 3𝑥 + 2 and 𝑦 = 3𝑥 - 1.

💡 Hint: Check their slopes.

Question 2 Easy

Are there any solutions for the equations 𝑦 = -x + 5 and 𝑦 = -x + 10?

💡 Hint: Look at the coefficients of x.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What indicates that two lines are parallel?

Different slopes
Same slope
Intersecting at one point

💡 Hint: Think about the characteristics of how lines behave.

Question 2

True or False: Parallel lines intersect at some point.

True
False

💡 Hint: Recall what is discussed about parallel lines.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Find two equations that show no solutions. Show your work and graph these equations.

💡 Hint: Ensure the slopes are the same, but intercepts vary.

Challenge 2 Hard

Create a word problem involving two objects moving parallel to each other. Explain whether they can ever meet and why.

💡 Hint: Think about their directions and speeds.

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