Practice Summary (4.4) - Linear Equations In Two Variables

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6 sample questions

Question 1.
Write a linear equation that represents a relationship where y is twice x.
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Think about the relationship in terms of a and b.
Question 2.
Convert x + y = 10 into the form ax + by + c = 0.
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Subtract 10 from both sides.
3Question 3.
What form defines a linear equation in two variables?
- x + y = c
- ax + by + c = 0
- ax^2 + by^2 = 0
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Think about the definition of linear.
4Question 4.
True or False: A linear equation in two variables can have exactly two solutions.
- True
- False
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Recall the nature of solutions in this context.
Question 5.
Provide three different solutions to the equation x - 4y = 8 and explain how you found them.
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What happens when you substitute chosen values?
Question 6.
If a linear equation shows the distance traveled as d = vt, how does replacing variables impact the equation?
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Consider how different values can represent a straight line.

4 more questions in this section. Enroll free to practise them all.