Different types of equations | Maths | Quizalize & Oak National Academy

Starter quiz

Work out the value of $(−4)^2$ .

−16

−8

−2

8

16 ✓
Which of these is the best description of the gradient of a line?

the $x$ value where the line crosses the $x$ -axis

the length of the line

the thickness of the line

the steepness of the line ✓

the vertical distance from the origin to the line
Select the coordinates that lie on the line $y = 2x − 3$ .

(−2, 1)

(0, 3)

(1, −1) ✓

(4, 5) ✓

(5, 4)
The table shows values for the equation $y = 5 − 3x$ . The missing number is ______.

'−1' ✓
When the equation of a straight line is written in the form $y = mx + c$ , ( $m$ ) is the coefficient of $x$ and represents the ______.

'gradient' ✓
Work out the value of $y$ that satisfies the equation $3x + y = 6(x − 2)$ when $x = 5$ . $y =$ ______

'3' ✓

Which of these equations are linear? The graphs of the equations are shown.

$y = {3^2} − {4\over x}$

$y = {3^2} − {x\over 4}$ ✓

$y = {3^2} − 4x^2$
Which is the correct graph of the expression $2 − 4t$ as $t$ varies? The table of values for $2 − 4t$ is shown.
$The table of values for <Math>y = {30\over x}</Math> is shown. The missing value is <span class="blank">______</span>.$

The table of values for $y = {30\over x}$ is shown. The missing value is ______.

'15' ✓
$Select the correct graph of the expression <Math>y = {x^3} − 5</Math>. The table of values for <Math>y = {x^3} − 5</Math> is shown.$

Select the correct graph of the expression $y = {x^3} − 5$ . The table of values for $y = {x^3} − 5$ is shown.
The table of values for $2x + y = 5(x − 1)$ is shown. The missing value is ______.

'1' ✓
The table of values for $xy = 12$ is shown. The missing value is ______.

'6' ✓

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Pupils may think all equations are for straight lines so can be plotted from 2 points.

Explore different relationships, most relationships are not linear but we focus a lot on linear relationships and their unique structure.

Gradient - The gradient is a measure of how steep a line is
Expression - Expressions contain one or more terms, where each term is separated by an operator.
Equation - An equation is used to show that one number or calculation is equal to another.
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.