Expanding
Expand and simplify:
x(4-x)
4x - x2
or
-x2 + 4x
Solve the following inequality.
3x < 9
x < 3
Solve the quadratic equation using the null factor law.
(x + 5)(x + 8) = 0
x = -5 or -8
Solve the following pair of equations.
x + y = 10 and y = x - 8
x = 9
y = 1
Factorise the following expression.
5x + 10
5(x + 2)
Expand and simplify:
(4x + 5)(x - 2)
4x2 - 3x - 10
Solve for 'x'.
3x/4 + 2x/8 = 8
x = 8
Use the quadratic formula to solve the following equation.
x2 + 5x +1 = 0
Solve the following pair of simultaneous equations.
2x + y = 7 and x = 4 - y
x = 3 and y = 1
Factorise the following expression.
m2 + m
m(m + 1)
Expand and simplify:
(p + 2)2
p2 + 4p + 4
Solve for 'x'.
x/3 - x/4 = 7
x = 84
Use the quadratic formula to solve the following equation.
x2 - 6x + 9
x = 3
Solve the following pair of simultaneous equations.
5a - 4b = 9 and 3a + b = 2
a = 1 and b = -1
Factorise the following expression.
x2 + 7x + 12
(x + 3)(x + 4)
Expand and simplify:
(x + 5)(x - 5)
x2 - 25
Solve the following inequality.
-3m + 5 < -7
m > 4
Use the quadratic formula to solve the following equation.
x2 + 5x + 2 = 0
x = -0.438 or x = -4.562
4 large jars and 2 small jars weigh 8.2 kg. 3 large jars and 3 small jars weigh 7.5 kg. Find the mass of a large jar and the mass of a small jar.
A large jar is 1.6 kg and a small jar is 0.9 kg.
Factorise the following expression.
x2 - 4x - 12
(x + 2)(x - 6)
Expand and simplify:
s(s - 12)
s2 - 12s
Solve for 'x'.
4x/6 + 2x/9 = 8
x = 9
Use the quadratic formula to solve the following equation.
x2 + x = 6
x = 2 or x = -3
It costs $1960 to employ 4 carpenters and a labourer for a day. It costs $2010 to employ 3 carpenters and 3 labourers for a day. How much does it cost to employ 2 carpenters and 4 labourers for a day?
It costs $1820 to employ 2 carpenters and 4 labourers for a day.
Factorise the following expression.
x2 + 4x - 12
(x + 6)(x - 2)