Using nth term
Representing simple functions
% increase and decrease
using a multiplier
100

What is the third term of the sequence with nth term 7n – 5?

16

100

A function machine has the rule ‘add 7’.

What is the input when the output is 11?

4

100

What is 15% of $200?

30

100

What number do you multiply by to increase a value by 35%?

1.35

200

Monza says that 31 is the 7th term of the sequence

 4n + 3. Is Monza correct? Show the solution.

yes

200

Which of these represent the function 'multiply by 3 and add 2'? 

a.  y = 3(x + 2)

b.  y = 3x + 2

c.  y = 2x + 3

d. y = 2(x + 3)




b.  y = 3x + 2

200

Which method should you use to increase $200 by 15%?

a.$200 + 15

b.$200 + $30

c.$200 – $30

d.$200 − 15 

b.$200 + $30

200

What number do you multiply by to decrease a value by 25%?


0.75

300

A sequence starts 10, 17, 24, … .Find nth term.


7n+3

300

Find the first three terms of the sequence generated by the function

y = 3x − 2.5

0.5; 3.5; 6.5

300

What is the absolute change when you increase 8 by 25%?


2

300

A value is multiplied by 0.27.

What is the percentage change?

decrease by 73%

400

What is the first negative term in the sequence given by the formula 28 – 3n?

10

400

y=2x+4. Find its inverse function.

x=(y-4)/2

400

In one year, the production at a factory increases from $100 000 by an absolute change of $100 000.

The percentage increase is:

100%

400

A box holds 35 identical items.

The size of the box is changed so that it now holds 28 of the same items.

Work out the percentage decrease in the number of items that the box holds.

20%

500

A sequence starts at 12 and the 3rd term is 6. Find nth term rule.

-3n+15

500

Find its inverse function. y=x/7-3

x=7(y+3)

500

Anna is using only 39% of the 60 GB memory on her computer.

How much free memory is left?

36.6

500

There were 52 399 wind turbines in China in 2016.

This is an increase of 22% on the number in the previous year.

How many wind turbines were there before the increase?

42950

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