Mr Daniels Maths
Rearranging Formula 2

Set 1

Set 2

Set 3

Q1) \(y =9w. \) Find \((w).\) [ \(w\) = \(y\over9\)]

Q1) \(z =2y + 4\) . Find y . [ \(y \)= \({z -4}\over2\)]

Q1) y =\( 9 z^ 2 + 7\). Find z . [ z = \( \sqrt[2]{{y -7}\over 9} \)]

Q2) \(y ={z \over 2.} \) Find \(z\). [ \(z\) = \(2y\)]

Q2) x = \(z\over 4\) + 3. Find z . [ \(z \)= \(4( x -3)\)]

Q2) y =\( 5 z^ 3 + 4\). Find z . [ z = \( \sqrt[3]{{y -4}\over 5} \)]

Q3) \(y =5w. \) Find \((w).\) [ \(w\) = \(y\over5\)]

Q3) \(x =5z + 10\) . Find z . [ \(z \)= \({x -10}\over5\)]

Q3) x =\( 8 y^ 2 -8\). Find y . [ y = \( \sqrt[2]{{x +8}\over 8} \)]

Q4) y =x + 6. Rearrange to find x . [ \(x = y -6\)]

Q4) w = \(z\over 4\) -6. Find z . [ \(z \)= \(4( w +6)\)]

Q4) y =\(w^ 2 -2\). Find w . [ w= \( \sqrt[2]{y +2} \)]

Q5) \(z =9x. \) Find \((x).\) [ \(x\) = \(z\over9\)]

Q5) \(w =7x -8\) . Find x . [ \(x \)= \({w +8}\over7\)]

Q5) z =\( 2 y^ 3 -8\). Find y . [ y = \( \sqrt[3]{{z +8}\over 2} \)]

Q6) \(y =6w. \) Find \((w).\) [ \(w\) = \(y\over6\)]

Q6) x = \(y\over 10\) + 9. Find y . [ \(y \)= \(10( x -9)\)]

Q6) w =\(y^ 2 + 6\). Find y . [ y= \( \sqrt[2]{w -6} \)]

Q7) \(w ={x \over 10.} \) Find \(x\). [ \(x\) = \(10w\)]

Q7) \(x =8z + 5\) . Find z . [ \(z \)= \({x -5}\over8\)]

Q7) y =\( 4 z^ 2 + 7\). Find z . [ z = \( \sqrt[2]{{y -7}\over 4} \)]

Q8) x =w -2. Rearrange to find w . [ \(w = x +2\)]

Q8) \(z =10w -9\) . Find w . [ \(w \)= \({z +9}\over10\)]

Q8) w =\( 10 x^ 3 + 5\). Find x . [ x = \( \sqrt[3]{{w -5}\over 10} \)]

Q9) \(x ={w \over 3.} \) Find \(w\). [ \(w\) = \(3x\)]

Q9) w = \(y\over 7\) -10. Find y . [ \(y \)= \(7( w +10)\)]

Q9) z =\( 2 x^ 2 -3\). Find x . [ x = \( \sqrt[2]{{z +3}\over 2} \)]

Q10) x =z -8. Rearrange to find z . [ \(z = x +8\)]

Q10) \(x =6w -3\) . Find w . [ \(w \)= \({x +3}\over6\)]

Q10) z =\(y^ 2 + 4\). Find y . [ y= \( \sqrt[2]{z -4} \)]