SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Algebra, NAP-A4-NC13

Which one of the following expressions is equivalent to  `4 (3m-1)`?

`7m-1` `12m-1` `12m-4` `8m`
 
 
 
 
Show Answers Only

`12m-4`

Show Worked Solution

`4 (3m-1)`

`= (4 xx 3m)-(4 xx 1)`

`= 12m-4`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 7, smc-3179-40-Distributive Law, smc-683-40-Distributive Law

Algebra, NAP-J4-CA21

Which expression is equivalent to  `6x + 12`?

`3(2x + 4)` `3(2x + 9)` `6(x + 6)` `6(x + 12)`
 
 
 
 
Show Answers Only

`3(2x + 4)`

Show Worked Solution

`3(2x + 4) = 6x + 12`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 8, smc-3179-40-Distributive Law, smc-683-40-Distributive Law

Algebra, NAP-F4-NC18

What expression is equivalent to  `-(y-6)`?

`y-6` `-y-6` `y + 6` `-y + 6`
 
 
 
 
Show Answers Only

`-y + 6`

Show Worked Solution

`-y + 6`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 9, smc-3179-40-Distributive Law, smc-683-40-Distributive Law

Algebra, NAP-I4-CA18

Which expression is equivalent to  `4x^2-12x + x^3?`

`4(x^2-3x + x^3)` `4x (x-3 + x^2)` `x^2 (4-12 + x)` `x (4x-12 + x^2)`
 
 
 
 
Show Answers Only

`x (4x-12 + x^2)`

Show Worked Solution

 `x (4x-12 + x^2)`

`= 4x^2-12x + x^3`

Filed Under: Basic Algebra, Basic Algebra Tagged With: Band 9, smc-3179-30-Index laws, smc-3179-40-Distributive Law, smc-683-30-Index laws, smc-683-40-Distributive Law

Copyright © 2014–2025 SmarterEd.com.au · Log in