Math Grade 8 Quiz Linear Equations in Two Variables and Their Applications – .8.EE.C.8.C
In this you will solve realworld and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
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Question 1 of 10
1. Question
John bought 2 apples and 3 bananas for $10, while Anna bought 3 apples and 2 bananas for $11. What is the cost of one apple and one banana?
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Question 2 of 10
2. Question
The line passing through the points (1, 4) and (2, 6) intersects the line passing through the points (2, 5) and (4, k). What is the value of k?
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Question 3 of 10
3. Question
In a bookshop, 3 notebooks and 2 pens cost $15. If 2 notebooks and 3 pens cost $14, how much does one notebook cost?
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Question 4 of 10
4. Question
If the equation of the line passing through the points (2, a) and (a, 2) is y = x + b, what is the value of a + b?
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Question 5 of 10
5. Question
The sum of two numbers is 50 and their difference is 20. What is the smaller number?
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Question 6 of 10
6. Question
Two times the larger of two numbers is three times the smaller number. If their sum is 45, what is the larger number?
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Question 7 of 10
7. Question
In a school, there are 4 boys for every 3 girls. If there are 28 boys, how many girls are there?
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Question 8 of 10
8. Question
A line with the equation y = 2x + 3 intersects another line with the equation y = x – 2 at the point:
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Question 9 of 10
9. Question
Given two points (3, 5) and (k, 7), if the slope of the line passing through these points is 2, what is the value of k?
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Question 10 of 10
10. Question
The price of a shirt and a cap is $120. If the shirt costs $20 more than the cap, what is the cost of the cap?
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