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Number, NAP-B3-NC23

  and    stand for numbers.

  and    are related by a rule.
 

 
What is the rule?

 
 `= 6 xx`  `- 2` 
 
 `= 10 xx `  `- 10`
 
 `= 2 xx`  `xx`   `+ 2`
 
 `= 4 xx`  `+ 2`
Show Answers Only

 `= 2 xx`  `xx`   `+ 2`

Show Worked Solution

`text(Consider option 3:)`

`10` `=2 xx2 xx2 +2 =8+2=10`
`20` `=2 xx 3xx 3 +2=18+2=20`
`34` `=2 xx 4 xx 4 +2=32+2=34`
`52` `=2 xx 5 xx 5 +2 = 50 + 2=52`

 

`:.\ text(The rule is:)`

 `= 2 xx`  `xx`   `+ 2`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 9, smc-3150-20-Substitution, smc-904-20-Substitution

Algebra, NAP-B3-CA27 SA

A vet uses a rule to calculate the volume of medicine needed for a calf (baby cow).

The amount of medicine (mL) a calf needs is:

Volume for calf = (Minor dose × Age of calf) ÷ (Age of calf + 14)

Use this rule to complete the table:
 

Show Answers Only

`3\ text(mL)`

Show Worked Solution
`text{Volume for calf (mL)}` `= (10 xx 6) ÷ (6 + 14)`
  `= 60/20`
  `= 3\ text(mL)`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 9, smc-3150-20-Substitution, smc-904-20-Substitution

Algebra, NAP-C3-CA31 SA

A construction company uses the following rule to calculate the cost of concrete.

cost in dollars = ($59.50 × volume in cubic metres) + ($8.90 × delivery distance in km)

Jim paid the company $713 for 6 cubic metres of concrete.

What delivery distance was Jim charged for?

   km
Show Answers Only

`40` 

Show Worked Solution

`text(Total cost of concrete)`

`= 6 xx 59.50`

`= $357`

`=>\ text(Delivery charges)` `=713 -357`
  `=$356`

 

`:.\ text(Delivery distance)` `=356/8.90`
  `=40\ text(km)`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 10, smc-3150-20-Substitution, smc-904-20-Substitution

Algebra, NAP-E3-NC12

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

`text(The only rule that satisfies all results is:)`

     `=`       `xx 4 – 3`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 7, smc-3150-20-Substitution, smc-904-20-Substitution

Algebra, NAP-G3-CA24

Gali droppped a shot put out of a window.

He uses the following equation to calculate the height of the window in metres,

height = 4.9 x (time)²

where time is the number of seconds it takes the shot put to reach the ground.

Which of these is closest to the height of the window if it took the shot put a time of 2.4 seconds to reach the ground?

`text(8 metres)` `text(12 metres)` `text(24 metres)` `text(28 metres)` `text(138 metres)`
 
 
 
 
 
Show Answers Only

`text(28 metres)`

Show Worked Solution
`text(Height)` `= 4.9 xx (2.4)^2`
  `= 28.224`
  `=28\ text{metres  (nearest metre)}`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 9, smc-3150-20-Substitution, smc-904-20-Substitution

Algebra, NAP-H3-CA12

 
What is the rule connecting dress sizes in Country A and Country B?

 
`text(Country B = Country A – 30)`
 
`text(Country B = Country A + 30)`
 
`text{Country B = (4 × Country A) + 12}`
 
`text{Country B = (6 × Country A)}`
Show Answers Only

`text(Country B = Country A + 30)`

Show Worked Solution

`text(Country B = Country A + 30)`

Filed Under: Basic Algebra and Rules, Basic Algebra and Rules Tagged With: Band 7, smc-3150-20-Substitution, smc-904-20-Substitution

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