1.8 Solving systems of linear equations and polynomial equations with technologyIB Maths: Applications and Interpretation HL: Mind map

Exam questions on 1.8 Solving systems of linear equations and polynomial equations with technology

1. At a concert, adult tickets cost $a$ USD each and child tickets cost $c$ USD each. Three adults and two children pay 98 USD in total. Two adults and five children pay 124 USD in total.
   Find the total cost of four adult tickets and three child tickets.2 marks
2. A rectangular photo frame has a length that is 5 cm greater than its width, $x$ cm. The area of the frame is $130\ \mathrm{cm^{2}}$.
   Find the perimeter of the frame, correct to 3 significant figures.2 marks
3. A school shop sells notebooks, pens and markers. Let their prices be $x$, $y$ and $z$ AED respectively. Order 1: one notebook, one pen and one marker cost 10 AED. Order 2: two notebooks, three pens and one marker cost 17 AED. Order 3: three notebooks, one pen and four markers cost 31 AED.
   Write down a system of three linear equations in $x$, $y$ and $z$ that models the three orders.3 marks