Algebraic expressions and substitutionIB MYP Maths Standard: Mind map

Exam questions on Algebraic expressions and substitution

1. A taxi company in Nairobi charges $C=50+30d$ shillings for a journey of $d$ kilometres.
   A second journey is twice as long as one of $d$ km, so it is $2d$ km. Write a simplified expression for the total cost, in shillings, of one journey of $d$ km and one journey of $2d$ km.2 marks
2. Let $a=3$, $b=-2$ and $c=5$.
   Find the value of $\frac{c-b}{a-b}$.2 marks
3. A school hall is a rectangle of length $(2x+3)$ metres and width $(x+4)$ metres. A square stage of side $x$ metres is built inside the hall.
   Show that the area of the hall is $2x^2+11x+12$ square metres.3 marks