Terms vs. input values Note that when we talk about number patterns, we talk about the first


term, the second term and so on. In other words, we talk about Tn where n = 1, 2, 3, … . However, when we talk about input values and output values in general, then the input values are not restricted to whole numbers such as 1, 2, 3 and so on. Input values can be negative, as you saw in the previous example. They can also be fractions.


When you work with number patterns and relationships, both now and in


later grades, you will always work with Tn where n = 1, 2, 3, … as the term number should always be a whole number. Exercise 1


1 The rule for finding y in terms of x is: y = − 1 1 2 3 5 8 y


1.2 Which of the following equations is equivalent to the rule in Question 1? List all the equivalent equations.


1.2.1 y = − 2 x − 2 ) 1.2.3 y = − 1


( 1 __


__ 2 (x + 4)


1.2.5 x = 2y − 2


1.2.2 y = − 1 1.2.4 y = − 1 1.2.6 x = 1


__ 2 (x − 1)


__ 2 (x − 4)


__ 2 y + 2


1.3 Which of the flow diagrams below is equivalent to the rule in Question 1? If more than one flow diagram is equivalent to the rule, then say so. 1.3.1


x 1.3.2 1.3.3 1.3.4 x


x x


× ×


1 – 2


1 – 2


– 4 – 2 y + 2 y


+ 4 × 1 – 2


× 1 – 2


y y 134 Chapter 4: Patterns, functions and relationships


1.1 Use the rule to copy and complete the table below: x


__ 2 x + 2


16 50 100


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