Practice Solving Linear Equations In Two Variables (3) - Linear Equations

Practice: Solving Linear Equations in Two Variables

Lesson 3Linear Equations

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10 questions

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4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Solve: x + y = 12 and x - y = 4 using the elimination method.
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Add the two equations to eliminate y.
Question 2.
What does the intersection of two lines represent?
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Think about what the point means on the graph.
3Question 3.
What does the graphical method involve?
- Finding the slope
- Calculating the area
- Plotting equations on a graph
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Think about how you visualize functions!
4Question 4.
True or False: Solutions to two-variable linear equations are always single points.
- True
- False
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Consider how lines are plotted in a graph!
Question 5.
A sales person sells x books for $5 each and y books for $10 each. The total sales amount to $120. If x + y = 15, how many of each type of book did they sell?
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Set up the equations based on the total sales and quantities.
Question 6.
Two cars start from the same point. Car A travels at a speed of 60 mph and Car B at 80 mph. If car A travels for 2 hours and car B travels for 1 hour longer, write a system of equations for their distances and solve for how far each car traveled.
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Use D=ST to relate their respective distances!

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