Tutor Render Test

Admin-only preview of the TutorMessage component.

Sample 1 — equations, table, display maths

Question: Solve 3x+5=203x + 5 = 20.

StepWorkingWhy
13x+5=203x + 5 = 20Write the equation
23x=20−53x = 20 - 5Subtract 5 from both sides
3x=153x = \frac{15}{3}Divide both sides by 3
4x=5x = 5Simplify

Answer: x=5x = 5

speed=distancetime=10020=5 m/s\text{speed} = \frac{\text{distance}}{\text{time}} = \frac{100}{20} = 5 \text{ m/s}

Sample 2 — harder cases, currency guard

Simplify x2−9x−3\frac{x^{2} - 9}{x - 3} and find 16×23\sqrt{16} \times 2^{3}.

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}

QuantityFormula
ForceF=maF = ma
Kinetic energyEk=12mv2E_k = \frac{1}{2}mv^{2}

Prices are 5and5 and 10 per pack, so $20 buys four.

a — single point (3, 5)
b — function y = x² − 4 with labelled roots
c — line y = 2x + 1
d — right-angled triangle (svg)
e — L-shaped compound shape (svg)
f — cuboid in oblique projection (svg)
g — bearing 135° (svg)
h — invalid JSON figure

Figure could not be displayed

i — text + LaTeX + table + figure together

Here is the parabola and a summary:

y=x2−4y = x^2 - 4

xy
-20
20
j — diagram-link button (URL stripped to phrase)

If you want to see what these look like in real life, try this:

View diagram examples
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Or for forces:

View diagram examples
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