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**** OXFORD UNIVERSITY PRESS

Name: ____________________ School: ________ Class:______ Date: ____________________ 1 On the set of axes drawn below, plot the following set of

points: ),2,

212(A

),212,

211( B

).1,2(C

a Hence, find the perimeter of the triangle ABC correct to the nearest millimetre.

2 By using the observed pattern, complete the next two values of the following tables. Then state the algebraic rule which applies to these tables.

a

b

3 Find the algebraic rule with the range of x which applies to each of these graphs.

a

b

4 a Find the rule for the given table.

b Use the rule to find the value of y when i x = 5

ii x = 3

iii x = 0.2

c Use the rule to find the value of x when i y = 12

ii y = 9

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5 For the rule y = 3 x + 2 a which letter represents the Input

b which letter represents the Output?

c Complete the Input/Output table to make the set of points (x, y).

d Plot the points on the Cartesian plane below and join the points.

e Use the graph to find the value of i y when x = 7

ii x when y = 17

6 a On the Cartesian plane below, draw a graph to show

the relationship which is given by the rule p = 2 q 1

(Output = 2 Input 1) when the values for q can only be 1, 3, 5, 7, 9. Table:

Working:

b Is the equation p = 2 q 1 a linear equation? Explain your answer.

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**** OXFORD UNIVERSITY PRESS

7 a Draw a graph to show the relationship which is given

by the rule y = 2x 5 using the x values of 4, 2, 0, 2, 4 and 6.

b Use the graph to fill in the missing coordinates below for the rule of y = 2x 5

i (1,)

ii (, 5)

c Use the rule to complete the ordered pairs below for the rule y = 2x 5

i (3.5, )

ii (, 0)

8 Below are graphs showing the relationship between two variables x and y.

i For each graph construct a table of values using x values of 2, 1, 0, 1, 2.

ii Use the table of values to write an equation which shows the relationship between and for each graph.

a

b

c

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9 Debra drives a taxi and charges customers an initial fixed charge of $5.00, plus an extra 80 cents per kilometre travelled.

The total amount Debra will charge a customer is given by the equation where C represents the total charged, and d represents the kilometres travelled.

a Complete the given table:

b Graph the ordered pairs (d, C) from the table above.

c Use the graph to complete the ordered pairs below: i (12, )

ii (, 20)

d Use the rule to determine i how much Debra will charge customers who

travel 30 km in her taxi

ii how far customers have travelled if Debra charges them $26.60