5 The number 3 435 is very unusual, as you will see from the equation below: 3 435 = 33 + 44 + 33 +55


5.1 Check that the calculation is correct. 5.2 Describe the pattern in the equation. 6 The rule for finding y in terms of x is: y = 3 6.1 Use the rule to copy and complete the table below:


__ 2 x − 1


x y


1 2 3 4 9


__ 2


16 25 80


6.2 Which of the following equations is equivalent to the rule above? If more than one equation is equivalent to the rule, then say so. 6.2.2 y = 1


6.2.1 y = x 6.2.3 y = 3


6.2.5 3x = 2y + 1 x ×


__ 2 (x − 2)


6.2.4 2y = 3x − 1 6.2.6 x = 2


6.3 Which of the flow diagrams below is equivalent to the rule above? If more than one flow diagram is equivalent to the rule, then say so. 6.3.1


__ 3 y + 3


(2)


3 2


6.3.2 x 6.3.3 x 6.3.4 × –


3 2


1 2


x × 3


6.4.1 ( 0; 1 __


2 ) 6.4.4 (−1; 2) – 2 y


– 1 2


y × 3 y – 1 ÷ 2


6.4.2 ( 0; − 1 __


2 ) 6.4.5 (−3; −5) y


6.4 Which of the ordered pairs below satisfies the rule above? If more than one ordered pair satisfies the rule, then say so.


6.4.3 (−1; −2)


6.4.6 (−3; −4) Total marks: [50]


(3)


__ 2 (3x − 1)


(1) (2)


(4)


(3)


Chapter 4: Consolidation


139


CHAPTER 4


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