Hi! May I have the explanation for these? Thanks! 1) Show how the expression on the left-hand side simplifies to that on the right
2x + 3x + 5 (2x – 3) = 15 (x – 1)
(2/3) / (1/5) = 10/3
(3/x) / (x + 3) = 3 / (x2
+ 3x)
12xy / 4x2
= 3y / x
4x2
(5 + x) / (20x + 4x2) = 2x
2) Solve the following equations and inequalities
(x – 2) (x + 4) = 0
4x + 8 (x – 2) = 12
x (x2
+ 2) = 0
5 < 12x + 25
3x – 2 > 7x + 11
3) Using the exchange rates, calculate the price of a cake in Euros and £. Its price is US$2.37.
4) How many Euros are equivalent to US$750? How many £ are equivalent to €750?
5) A woman buys a TV for £450. She must pay a VTA at 22%. What is the final price?
6) 155 students attend a maths lecture. If 15 students are absent, calculate the percentage of
students absent.
7) A house was valued at € 2.500.000 in 2001 and € 3.225.000 in 2021. Calculate the change in the
value between 2001 and 2021 as a percentage of the 2001 valuation.