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Algebra, STD2 A1 2016 HSC 5 MC

Which expression is equivalent to  `2(3x-4) + 2`?

  1. `6x-2`
  2. `6x-4`
  3. `6x-6`
  4. `6x-10`
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`C`

Show Worked Solution

`2(3x-4) + 2`

`= 6x-8 + 2`

`= 6x-6`
 

`=> C`

Filed Under: AM1 - Algebra (Prelim), Distributive Laws, Substitution and Other Equations (Std 1), Substitution and Other Equations (Std 2), Substitution and Other Equations (Std2-2027) Tagged With: Band 4, num-title-ct-corea, num-title-qs-hsc, smc-1116-50-Other Equations, smc-6234-50-Other Equations, smc-789-50-Other Equations

Algebra, STD2 A1 2016 HSC 2 MC

Which of the following equations has  `x = 5`  as the solution?

  1. `x - 5 = 10`
  2. `5 - x = 10`
  3. `x/2 = 10`
  4. `2x = 10`
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`D`

Show Worked Solution
`2x` `= 10`
`:. x` `= 5`

 
`=> D`

Filed Under: AM1 - Algebra (Prelim), Substitution and Other Equations (Std 1), Substitution and Other Equations (Std 2), Substitution and Other Equations (Std2-2027) Tagged With: Band 2, smc-1116-50-Other Equations, smc-6234-50-Other Equations, smc-789-50-Other Equations

Algebra, STD2 A1 2015 HSC 2 MC

Which of the following is  `4x + 3y-x-5y`  in its simplest form?

  1. `3x - 2y`
  2. `3x + 8y`
  3. `5x - 2y`
  4. `5x + 8y`
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`A`

Show Worked Solution

`4x + 3y-x-5y`

`= 3x-2y`

`⇒ A`

Filed Under: AM1 - Algebra (Prelim), Distributive Laws, Substitution and Other Equations (Std 1), Substitution and Other Equations (Std 2), Substitution and Other Equations (Std2-2027) Tagged With: Band 3, num-title-ct-corea, num-title-qs-hsc, smc-1116-50-Other Equations, smc-6234-50-Other Equations, smc-789-50-Other Equations

Algebra, STD2 A1 2009 HSC 25a

Simplify  `5-2(x + 7)`.    (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

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 `-2x-9`

Show Worked Solution
♦ Mean mark 47%
`5-2(x + 7)` `= 5-2x-14`
  `= -2x-9`

Filed Under: AM1 - Algebra (Prelim), Distributive Laws, Substitution and Other Equations (Std 1), Substitution and Other Equations (Std 2), Substitution and Other Equations (Std2-2027) Tagged With: Band 4, num-title-ct-corea, num-title-qs-hsc, smc-1116-50-Other Equations, smc-6234-50-Other Equations, smc-789-50-Other Equations

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