*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.*

* It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us*

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)

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)

(-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 = 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 = 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)

(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)

(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)

(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)

(-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)

(-2, 6)

(4, 6)

(0, -4)