Solving linear equations graphically using technology | Maths

Starter quiz

$x=5$ is the ______ to the equation $7x-3=32$

'solution' ✓
Which is the solution to the equation $16-3x=7$ ?

$x=-3$

$x=3$ ✓

$x=7$

$x=9$
The relationship $y=2x+6$ when plotted produces a ______ graph.

bar

curved

linear ✓

parabolic
Andeep plots the graph of the equation $y=3x-10$ . What is the $y$ coordinate when the $x$ coordinate is $-5$ ?

$-25$ ✓

$-15$

$-5$

$5$

$25$
Find the coordinates of the point where the lines $y=5-x$ and $y=2x-1$ intersect.

$(5, 0)$

$(0, 5)$

$(-1, 0)$

$(2, 3)$ ✓
What is the $x$ coordinate of this point?

$2\frac{1}{2}$ ✓

$1.25$

$2.5$ ✓

$2\over5$

$5\over2$ ✓

This graphical representation shows that $x=2$ is the ______ to the equation $3x-2=4$

'solution' ✓
Use this graphical representation to solve the equation $7-3x=-5$

$x=-5$

$y=-5$

$x=4$ ✓

$y=4$
$Use this graphical representation to solve the equation <Math>3x+1={1\over2}x-4</Math>$

Use this graphical representation to solve the equation $3x+1={1\over2}x-4$

$x=-2$ ✓

$x=-5$

$y=-2$

$y=-5$
This graph shows that $x=-2$ is the solution to the equation $5x+13=1-x$ and that $3$ is the value of the ______ when they are equal.

unknowns

expressions ✓

equations

variables
Solve $2.7x+1=2.7x-5.4$

$x=1$

$x=2$

$x=2.7$

There is no solution. ✓
Use the graphical representation to solve the equation $3x+4=x-4$

$x=-4$ ✓

$x=-8$

$x=2$

$x=10$

$x=6$

Loading worksheet ...

Loading presentation ...

That we always have to use written methods to solve equations.

Use Desmos to show that equations like $3x-1=17$ and $3x-1=x+9$ can be solved by drawing both lines and finding the intersection.

Equation - An equation is used to show two expressions that are equal to each other.
Solution - The solution to an equality is the value which, when substituted, maintains the equality between expressions.