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Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Graphs 1 (Questions)

This Math quiz is called 'Algebra - Graphs 1' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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To draw graphs you need to be able to place points accurately on a grid before joining them up. The position of a point is described by its coordinates, the distances from the x and y axes.

Have a go at this Math quiz to familiarize yourself with graphs.

1. Which of the following is the correct way of writing coordinates?
[ ] (3, 4)
[ ] 3 + 4
[ ] 3, 4
[ ] 34
2. Which of these points is furthest from the y-axis?
[ ] (2, -3)
[ ] (-5, 5)
[ ] (-2, 1)
[ ] (7, -3)
3. Which of these points is furthest from the x-axis?
[ ] (2, -3)
[ ] (-5, 5)
[ ] (-2, 1)
[ ] (7, -3)
4. All points with x coordinate equal to 3 are on the line with equation …….
[ ] y = 3
[ ] x + y = 3
[ ] x = 3
[ ] y = x + 3
5. Points such as (4, 4) which have x and y coordinates the same are all on the line with equation …….
[ ] x + y = 4
[ ] x = y
[ ] y = 4x
[ ] x = 4
6. Which of these points is on the y-axis?
[ ] (5, -5)
[ ] (5, 0)
[ ] (-5, 0)
[ ] (0, -5)
7. Which of these points is not on the line x + y = 6?
[ ] (2, 4)
[ ] (3, -3)
[ ] (5, 1)
[ ] (-1, 7)
8. Which of these points is 6 units down from and 5 units to the right of the origin?
[ ] (5, 6)
[ ] (-6, 5)
[ ] (5, -6)
[ ] (-6, -5)
9. Which of these points is on the line y = x - 2?
[ ] (2, -4)
[ ] (-4, 2)
[ ] (-2, 4)
[ ] (-2, -4)
10. Which point will you arrive at if you start at (1, 3) and move 3 units to the left and 3 units up?
[ ] (4, 2)
[ ] (-2, 6)
[ ] (4, 6)
[ ] (0, -4)
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Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Graphs 1 (Answers)
1. Which of the following is the correct way of writing coordinates?
[x] (3, 4)
[ ] 3 + 4
[ ] 3, 4
[ ] 34
2. Which of these points is furthest from the y-axis?
[ ] (2, -3)
[ ] (-5, 5)
[ ] (-2, 1)
[x] (7, -3)
The distance from a point to a line is always measured at right angles to the line so the distance from the y-axis is the x coordinate of the point
3. Which of these points is furthest from the x-axis?
[ ] (2, -3)
[x] (-5, 5)
[ ] (-2, 1)
[ ] (7, -3)
The distance of a point from the x-axis is the y coordinate of the point
4. All points with x coordinate equal to 3 are on the line with equation …….
[ ] y = 3
[ ] x + y = 3
[x] x = 3
[ ] y = x + 3
The rule is that x is always equal to 3
5. Points such as (4, 4) which have x and y coordinates the same are all on the line with equation …….
[ ] x + y = 4
[x] x = y
[ ] y = 4x
[ ] x = 4
The rule is that x is always equal to y
6. Which of these points is on the y-axis?
[ ] (5, -5)
[ ] (5, 0)
[ ] (-5, 0)
[x] (0, -5)
All points on the y-axis have an x coordinate of zero
7. Which of these points is not on the line x + y = 6?
[ ] (2, 4)
[x] (3, -3)
[ ] (5, 1)
[ ] (-1, 7)
The coordinates must add up to 6
8. Which of these points is 6 units down from and 5 units to the right of the origin?
[ ] (5, 6)
[ ] (-6, 5)
[x] (5, -6)
[ ] (-6, -5)
The first number in coordinates gives the position along the x (horizontal axis). Be careful with questions like this where the first number given to you is along the y axis!
9. Which of these points is on the line y = x - 2?
[ ] (2, -4)
[ ] (-4, 2)
[ ] (-2, 4)
[x] (-2, -4)
The rule is that y is always 2 less than x
10. Which point will you arrive at if you start at (1, 3) and move 3 units to the left and 3 units up?
[ ] (4, 2)
[x] (-2, 6)
[ ] (4, 6)
[ ] (0, -4)