smc-789-40-Find the Mistake

Algebra, STD2 A1 2005 HSC 14 MC

Using the formula , Marcia tried to find the value of when .

Here is her solution. She has made one mistake.

Which line does NOT follow correctly from the previous line?

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Algebra, STD2 A1 2013 HSC 29a

Sarah tried to solve this equation and made a mistake in Line 2.

Copy the equation in Line 1 and continue your solution to solve this equation for .

Show all lines of working. (2 marks)

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

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♦♦ Mean mark 27%
STRATEGY: The RHS of the equation increases from 1 to 15 (from Line 1 to Line 2), indicating both sides must have been multiplied by 15.

Algebra, STD2 A1 2010 HSC 24a

Fred tried to solve this equation and made a mistake in Line 2.

Copy the equation in Line 1.

Rewrite Line 2 correcting his mistake. (1 mark)

--- 1 WORK AREA LINES (style=lined) ---
Continue your solution showing the correct working for Lines 3 and 4 to solve this equation for . (1 mark)

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

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i.

ii.