7 men can complete a work in 52 days. In how many days will 13 men finish the same work ?
28 days
y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.
y = 9
The sum of two numbers is 18 and their difference is 2. Find the numbers.
8 and 10
Simplify 10x + 20y + 30x + 5y
40x + 25y
Expand and simplify (x + 1)(x − 3)
x2 − 2x − 3
(x+8)(x+2)
Factorise 10a - 20
10(a-2)
Expand and simplify (3x + y)2
9x2 + 6xy + y2
Factorise 2x2+7x
x(2x+7)
Factorise p2 - 2p - 15
(p - 5)(p + 3)
Expand and simplify (5x + 6)(8x − 4)
40x2 + 28x − 24
Expand and simplify (8b − 1)(5b − 5)
40b2 − 45b + 5
Factorise 7m2 + 6m − 1
(7m-1)(m+1)
Factorise 3k2 − 10k + 7
(3k − 7)(k − 1)
Factorise 10m2 + 23m + 6
(m + 2)(10m + 3)
Simplify 16p2 / 28 p
4p / 7
Simplify x2 + 8x + 12 / x2 + 3x − 18
x + 2 / x − 3
Simplify x2 − 11x + 18 / x2 + 2x − 8
x − 9 / x + 4
Solve using elimination
−4x + 9y = 9
x − 3y = −6
(9,5)
Solve using substitution
y = 5x − 7
−3x − 2y = −12
(2,3)
The sum of two numbers is 18, and the product of these two numbers is 56. What are the numbers?
4 and 14
The difference of the squares of two consecutive even integers is 68. What are these numbers?
16 and 18
The perimeter of a rectangular pool is 56 meters. If the length of the pool is 16 meters, then find its width.
12 meters
Solve n2 + 3n − 12 = 6
(3, -6)
Solve 15a2 − 3a = 3 − 7a
(1/3, -3/5)