Algebra
Expand and simplify (p - 5) (p + 4)
p2 - p - 20
Solve
24/(x-4) = 1
Evaluate 9-2
1/81
T is inversely proportional to the square of L
Given that T = 9 when L = 2,
find the formula for T in terms of L
T = 36 / L2
The equation of line L is x + 2y = -1
Find the gradient of the line L.
-1/2
Factorise 3m2 - 48
3 (m-4) (m+4)
Evaluate x2 - 6xy + 2y2 when x = 2 and y = -3
57
Given that n = 3 x 104
Find n2.
9 x 108
Given that y is directly proportional to the square of x and that y=1 when x = 1/2
Find the value of x when y = 9
x = 4.5
The equation of line L is y = -1/2 x -1/2
Find the equation of the line parallel to line L that passes through the point (0,5)
y = -1/2 x + 51/2
Solve the equation
3(y+2) = 2(2y-7) + y
y = 10
Solve 4(x-0.3) = 3(x-0.2)
x = 0.6
m = 2.1 x 107 and n = 3 x 104
Find m / n, giving your answer in standard form
7 x 102
*Square root* 28
2 *square root* 7
Find the midpoint of P(1, 2) and Q(5, -14)
(3, -6)
Factorise 4x2 + 12xy + 9y2
(2x+3y) (2x+3y)
Express as a single fraction in its simplest form
3 / (2t - 1) - 2 / (t + 2)
4 - t / (2t-1) (t+2)
43/2
8
(3 + *s.root* 5)2
14 + 6 *s.root* 5
Find the equation of the line joining P(1, 2) and Q(5, -14)
y = -4x + 6
Simplify (2v-6) / v2 -2v -3
2 / (v+1)
Solve the simultaneous equation
2x - 3y = 13
3x + y =3
x = 2
y = -3
Find the cube root of 8 x 106
2 x 103
Rationalise the denominator of:
5 / (3+ *s.root*5)
(15 - 5 *s.root*5) / 4
Find the distance between P (2, 9) and Q (4, 6)
3.61 units