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What do you know about graphs?

# Level 5-6 Algebra - Graphs 01

Graphs become your pals in KS3 Maths, and though they might seem tricky, trust me, once you get the hang of them, they're a breeze!

'Hang on', you say. 'This quiz is supposed to be about algebra, not just graphs.' That's right, so what's the algebra link? Well, most shapes can be mapped on a graph using formulae to describe their coordinates.

1.
Which of the following is the correct way of writing coordinates?
(3, 4)
3 + 4
3, 4
34
Coordinates are written in pairs and placed in brackets. The x coordinate is always placed first and the y coordinate second
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)
Movements to the left are negative so remove 3 from the x axis. Movements upward are positive so add 3 to the y axis