Page 63 - Math Smart - 7
P. 63
O P = 3;c-1,Q = 4-^andR = 5j-8
Use the values of P, Q and R to expand and simplify the following expressions,
a) 3P + 2Q b) 4P + 3R c) 2P + 3Q + 4R d) 5P + 4Q + 2R-6
Challenge! 2;c-1
a) Write an algebraic expression for the perimeter of the
quadrilateral in simplest form. y
b) Find the perimeter when = 3 cm and y = 4 cm.
c) When = 1 m and v = 0.5 m, which of the four sides Is the longest?
2x + 3
Investigate!
O Leia wants to hire a bicycle. The table shows the cost, C, in dollars, of
hiring a bicycle for.v hours from Company M and Company N.
Company CostC($) .
M C = Zv +
5
N C = 3a- +
1
a) Find the cost of hiring a bicycle for 1 hour from each company.
Which company is more expensive?
b) Find the cost of hiring a bicycle for 6 hours.
Which company is more expensive?
c) For which value of .v will the cost of hiring a bicycle from the two
companies be the same?
d) Leia wants to hire a bicycle for 8 hours. Which company should she
choose? Give a reason for your answer.
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