SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

Algebra, NAP-A4-CA12

Here is a table of values for `x` and `y`.
 


 

Which of these is a correct rule for `y` in terms of `x`?

`y = x` `y = 2x` `y = 6x` `y = 4x^2`
 
 
 
 
Show Answers Only

`y = 4x^2`

Show Worked Solution

`text(By trial and error for each given equation:)`

`text(Consider)\ \ y=4x^2,`

`0=4xx 0^2=0`

`1=4 xx 0.5^2 = 1`

`4=4xx1^2=4\ \ text(etc …)`

 

`:. y = 4x^2\ \ text(is the correct rule.)`

Algebra, NAP-B4-CA17

Ice cream is put into a waffle cone so it fills the cone to the top.
 

The volume, `V`, of the cone is given by the rule  `V = (pir^2h)/3`,

where `r` is the radius of the cone in centimetres and `h` is the height in centimetres.

When  `h = 12`  and   `r = 3`, the volume of the cone is closest to

`38\ text(cm)³` `113\ text(cm)³` `339\ text(cm)³` `452\ text(cm)³`
 
 
 
 
Show Answers Only

`113\ text(cm)³`

Show Worked Solution
`V` `= (pi xx 3^2 xx 12)/3`
  `= 113.097…\ text(cm)³`
  `=113\ text{cm³  (nearest cm³)}`

Algebra, NAP-D4-CA22

Renee went bike riding on a holiday.

The hiring charges are  listed in the table below:
 

 

 
Which rule shows the relationship between `C` and `h`?

`C = 12 + 6h` `C = 6 + 12h` `C = 18 + 12h` `C = 12 + 18h`
 
 
 
 
Show Answers Only

`C = 12 + 6h`

Show Worked Solution

`text(Consider Option 1:)`

`12 + (6 xx 1) = 12+6=18`

`12 + (6 xx 2) = 12+12=24`

`12 + (6 xx 3) = 12+18=30`

`text(etc …)`

`:.\ text(The rule is:)\ \ C = 12 + 6h`

Algebra, NAP-E4-NC10

The table below shows the results of a rule that changes each    into a  .
 

Which rule below was used?

 
      `=`        `xx 1 + 3`
 
      `=`        `xx 2 + 1`
 
      `=`        `xx 3 + 3`
 
      `=`        `xx 4 - 3`
Show Answers Only
     `=`        `xx 4 – 3`
Show Worked Solution
     `=`        `xx 4 – 3`