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Equations, SMB-005

`2(3p-5)-3=17`

Solve for `p`.  (2 marks)

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`p=5`

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`2(3p-5)-3` `=17`  
`6p-10-3` `=17`  
`6p-13` `=17`  
`6p` `=30`  
`:.p` `=5`  

Filed Under: Linear Tagged With: num-title-ct-corea, smc-4362-15-3-step problems

Equations, SMB-004

`17y+3(5-3y)-5=26`

What value of `y` makes this equation true?  (2 marks)

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`y=2`

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`17y+3(5-3y)-5` `=26`  
`17y+15-9y-5` `=26`  
`8y+10` `=26`  
`8y` `=16`  
`:.y` `=2`  

Filed Under: Linear Tagged With: num-title-ct-corea, smc-4362-15-3-step problems

Equations, SMB-003

`6(3a+4)-12=8a-18`

What value of `a` makes this equation true?  (2 marks)

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`a=-3`

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`6(3a+4)-12` `=8a-18`  
`18a+24-12` `=8a-18`  
`10a` `=-12-18`  
`10a` `=-30`  
`:.a` `=-3`  

Filed Under: Linear Tagged With: num-title-ct-corea, smc-4362-15-3-step problems

Equations, SMB-002

`2 (4x-2) + 1 +`
?
`= 9x-3`

What term makes this equation true for all values of `x`?  (2 marks)

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

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?
`= x`
Show Worked Solution
`2(4x-2) + 1 +`
?
`= 9x-3`
`8x-4 + 1 +`
?
`= 9x-3`
`8x-3 +`
?
`= 9x-3`
 
?
`= x`

Filed Under: Linear Tagged With: num-title-ct-corea, smc-4362-15-3-step problems

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