Elementary Mathematics Revision Worksheet 18
1
Six apples cost p cents while 2 oranges cost q cents more than an apple. If Joshua bought eight apples and
nine oranges, express the total cost in terms of p and q.
54q  25 p
12
2
Solve the simultaneous equations.
x  3y  9
3x  30  6 y
x = 12, y = 1
3
a)
Simplify p 2   p  x  p  x  .
x2
4
b)
Hence, evaluate 348 688 7292 – 348 688 733  348 688 725.
16
a)
Express 150 as the product of its prime factors.
150  2  3  5 2
b)
5
a)
Given that 150k is a perfect square, write down the smallest possible value of k.
k=6
Given that x 2  2 x  2 can be written in the form of x  p   q , find the values of p and q.
2
p  1, q  3
b)
Hence, solve the equation x 2  2 x  2  0 .
x  0.732, x  2.73