Expressions
Simplify (3x)/6
x/2
Expand 2x(3x + 5)
6x^2+10x
Factorise x^2-9x+18
(x-6)(x-3)
Solve x/7 - 4 = 7
x=77
Dan has some marbles. Ellie has twice as many marbles as Dan. Frank has 15 marbles. Dan, Ellie, and Frank have a total of 63 marbles.
How many marbles does Dan have?
16
Simplify
(h^2)^-3
h^-6
Expand and simplify 5(y-2)+2(y-3)
7y-16
Factorise y^2-16
(y-4)(y+4)
Solve 4(x-5)=14
x=8.5
Simplify (4a^5b^10)^(1/2)
2a^(5/2)b^5
Julie is x years old. Kevin is x + 3 years old. Omar is 2x years old.
Write an expression, in terms of x, for the sum of their ages.
4x+3
Expand and simplify 2x(3x - y)+3(4y-2)
6x^2-2xy+12y-6
Factorise completely 10a^2b+5ab-20ab^2
5ab(2a+1-4b)
Solve 3(x+7)=12
x=-3
Make p the subject of the formula y=3p^2-4
sqrt((y+4)/3)
Work out the value of f when g = -5 and h = 2.
f=2(3g+7h)
-2
Expand and simplify (2x-3)(3x+4)
6x^2-x-12
Factorise 2d^2-d-15
(2d+5)(d-3)
Solve 2x+3=x-4
x=-7
The sizes of the angles in a triangle are 2x - 10, x + 20, 3x + 50. Use this information to work out the size of the smallest angle in the triangle.
30^o
Simplify
(2m^2t^6)/(m^4t^2)
(2t^4)/m^2 or 2t^4m^-2
Expand and simplify (2a-3)^2
4a^2-12a+9
Factorise fully (y^2 - 9)-(y-3)^2
6(y-3)
Solve (5w-8)/3=(4w+2)/2
w=-11
Make t the subject of the formula p=(3-2t)/(4+t)
t=(3-4p)/(p+2)