Pick a topic and start solving.
From linear to quartic
Brackets, roots and simplifying
From linear to quartic
Reading and interpreting graphs
Number sets, decimals and fractions
From the story to the equation
Coming soon
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One-step equations like $x + 5 = 12$, $2x = 8$ or $\frac{x}{3} = 4$
Equations like $3x + 4 = 19$ or $\frac{x}{2} - 3 = 5$
Equations like $5x - 3 = 2x + 9$
Multiply every term by the common denominator: $\dfrac{x}{2} + \dfrac{x}{3} = 5$ or $\dfrac{x}{3} + 2 = 7$
Equations like $\dfrac{x + 1}{3} = \dfrac{x - 2}{4}$ or $\dfrac{x}{2} - 3 = \dfrac{x}{4} + 1$
Systems like $y = 2x - 1,\ 3x + y = 14$: put one equation into the other
Systems like $3x + 2y = 7,\ 3x - y = 1$: add or subtract the equations so one variable cancels
Systems like $2x + 3y = 12,\ 3x - 4y = 1$: multiply the equations to match the coefficients
Equations like $(x - 2)(x + 5) = 0$ or $(2x - 3)(x + 1) = 0$
Equations like $x^2 = 49$, $3x^2 = 48$ or $3x^2 - 12x = 0$
Equations like $x^2 + 5x + 6 = 0$ or $2x^2 - 6x - 20 = 0$
Equations like $x^3 + 5x^2 + 6x = 0$ or $x^3 - 3x^2 - 4x + 12 = 0$
Equations like $x^4 - 5x^2 + 4 = 0$ or $x^4 = 81$
Equations like $\dfrac{3}{x} = \dfrac{5}{x + 4}$ or $x + \dfrac{6}{x} = 5$ (remember $x \neq 0$)
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Expressions like $4 \cdot (3x - 2)$ or $(5 + 2x) \cdot (-3)$
Expressions like $4x \cdot (3x - 2)$ or $(5 - 2x) \cdot (-3x)$
Expressions like $(4x - 2) \cdot (3x + 2)$ or $(1 + 2x) \cdot (5 - 3x)$
Expressions like $\sqrt{54}$ or $2\sqrt{48}$
Expressions like $\sqrt{54} - \sqrt{24}$ or $2\sqrt{27} + \sqrt{12} - \sqrt{75}$
Expressions like $\sqrt{6} \cdot \sqrt{15}$, $2\sqrt{3} \cdot 3\sqrt{6}$ or $\dfrac{\sqrt{98}}{\sqrt{2}}$
Expressions like $(2 + \sqrt{3})^2$ or $(\sqrt{5} + \sqrt{2})(\sqrt{5} - \sqrt{2})$
Expressions like $\dfrac{6}{\sqrt{3}}$ or $\dfrac{10}{3 + \sqrt{5}}$
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Inequalities like $3x - 5 > 7$ or $-2x + 1 \le 9$
Inequalities like $(x + 2)(x - 3) > 0$ or $x(x + 2)(x + 3) \ge 0$
Inequalities like $x^2 - 5x + 6 < 0$ or $-x^2 + 4x + 5 \ge 0$
Inequalities like $x^3 + 5x^2 + 6x > 0$ or $x^3 - 3x^2 - 4x + 12 \le 0$
Inequalities like $x^4 - 5x^2 + 4 \le 0$ or $x^4 - 81 > 0$
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Read the starting value, the rate or a point from the graph of a straight line
Stories with an equation like $S = 5w + 45$: rate of change, starting value, what each number means
Two equations like $D = 6t + 10$ and $E = 3t + 20$: when are they equal, who is ahead, how fast does each grow
Choose the statement that matches the graph
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Which kind of number is $-15.5$? Natural, integer, rational, irrational, real
Write $0.75$ or $0.\overline{27}$ as a fraction in lowest terms
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A rope is cut into parts, each shorter than the one before: $x + (x - 10) + (x - 20) = 90$
The sum of three consecutive integers is 78; two numbers with a given sum and ratio
Rectangles and triangles with related sides: $2(x + (x + 5)) = 38$
Quadratic equations from a story, where one root has to be rejected: $x(x + 3) = 40$
60 bills of €10 and €20 worth €900 in total: how many of each? Write a system and substitute
No equation given: build the model yourself from the data (e.g. 390 MB after 8 s, 150 MB at the start) and find the speed and when it is full
No equation given, decimal rates: a battery was 23% full, after 30 min it was 89%. How fast is it charged, and when is it full?
12 marbles need 44 litres of water, 20 marbles need 36 litres: volumes of the aquarium and of a marble
Check whether the numbers in a story fit together or contradict each other
The braking distance is directly proportional to the square of the speed: 73 m at 110 km/h, how long at 80 km/h?
6 workers build a fence in 10 days, how long do 4 workers need? Also the inverse square (light, signals)
Read a table of values: is $y$ directly or inversely proportional to $x$? Find the constant $k$