KS3 Maths: Graphical representations of linear equations flashcards

Question 1

What is a quadrant?

Accepted Answer

Any one of the four areas into which the x- and y-axes divide a space in the Cartesian coordinate system.

Question 2

In the coordinate (−2, 5), which number gives the x-direction?

Accepted Answer

−2 (coordinates are written in the form (x, y)).

Question 3

What is an arithmetic (linear) sequence?

Accepted Answer

A sequence where the difference between successive terms is a constant.

Question 4

When the term numbers and terms of an arithmetic sequence are plotted as coordinates, what do the points lie on?

Accepted Answer

A straight line.

Question 5

In algebra, what does it mean to substitute?

Accepted Answer

To put a value in place of a variable.

Question 6

Which points on the curve of a relationship satisfy the relationship?

Accepted Answer

All of them.

Question 7

When is the relationship between two variables linear?

Accepted Answer

When they change together at a constant rate and form a straight line when plotted.

Question 8

What exponent do the variables in a linear equation have?

Accepted Answer

1

Question 9

What is the rate of change?

Accepted Answer

How quickly one variable changes with respect to another.

Question 10

If the rate of change is constant, what kind of relationship is there?

Accepted Answer

A linear relationship.

Question 11

What is an intercept?

Accepted Answer

The coordinate where a line or curve meets a given axis.

Question 12

Which two features uniquely describe any linear relationship?

Accepted Answer

A constant rate of change (common difference) and the intercept with the y-axis (initial value).

Question 13

Does the line y = 5x + 2 have a start and an end?

Accepted Answer

No, it goes on infinitely, but it has a y-intercept.

Question 14

What is the gradient?

Accepted Answer

A measure of how steep a line is.

Question 15

What is the name for the amount y changes when x increases by one on a linear graph?

Accepted Answer

The gradient (the rate of change).

Question 16

When is the gradient of a line positive?

Accepted Answer

When y increases as the graph moves to the right.

Question 17

When is the gradient of a line negative?

Accepted Answer

When y decreases as the graph moves to the right.

Question 18

What is the absolute value of a number?

Accepted Answer

Its distance from zero.

Question 19

When are two lines parallel?

Accepted Answer

When they are straight lines that are always the same (non-zero) distance apart.

Question 20

Are lines with gradients 2 and −2 parallel?

Accepted Answer

No. Parallel lines must have exactly the same gradient.

Question 21

What is the gradient between any two points on a straight line equal to?

Accepted Answer

The gradient of the line.

Question 22

What is the value of x where a line crosses the y-axis?

Accepted Answer

Zero.

Question 23

What is a coefficient?

Accepted Answer

A constant numerical multiplier of the variables in a term.

Question 24

What is a constant?

Accepted Answer

A term that does not change; it contains no variables.

Question 25

Which French words are the letters m and c in y = mx + c said to come from?

Accepted Answer

m from 'monter' (to climb) and c from 'commencer' (to start).

Question 26

Are graphs linear only when their equation is written as y = mx + c?

Accepted Answer

No. Linear relationships can be written in a variety of algebraic forms.

Question 27

Changing c in y = x + c moves the line in which direction?

Accepted Answer

Up or down.

Question 28

Should plotted points from an arithmetic sequence be joined with a line?

Accepted Answer

No. A sequence is an ordered list, so usually only the positive integer term numbers are used.

KS3 Maths: Graphical representations of linear equations flashcards

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