Mr Daniels Maths
Rearranging Formula 2

Set 1

Set 2

Set 3

Q1) \(x ={z \over 5.} \) Find \(z\). [ \(z\) = \(5x\)]

Q1) \(x =5w + 6\) . Find w . [ \(w \)= \({x -6}\over5\)]

Q1) z =\( 2 w^ 3 + 5\). Find w . [ w = \( \sqrt[3]{{z -5}\over 2} \)]

Q2) w =z + 10. Rearrange to find z . [ \(z = w -10\)]

Q2) \(w =10z + 10\) . Find z . [ \(z \)= \({w -10}\over10\)]

Q2) x =\( 7 y^ 2 -6\). Find y . [ y = \( \sqrt[2]{{x +6}\over 7} \)]

Q3) \(y =4x. \) Find \((x).\) [ \(x\) = \(y\over4\)]

Q3) \(x =4w -3\) . Find w . [ \(w \)= \({x +3}\over4\)]

Q3) w =\( 9 x^ 3 -10\). Find x . [ x = \( \sqrt[3]{{w +10}\over 9} \)]

Q4) \(z ={x \over 2.} \) Find \(x\). [ \(x\) = \(2z\)]

Q4) \(z =10y -8\) . Find y . [ \(y \)= \({z +8}\over10\)]

Q4) w =\(x^ 3 -2\). Find x . [ x= \( \sqrt[3]{w +2} \)]

Q5) y =z + 2. Rearrange to find z . [ \(z = y -2\)]

Q5) w = \(z\over 10\) -10. Find z . [ \(z \)= \(10( w +10)\)]

Q5) x =\( 5 y^ 2 -10\). Find y . [ y = \( \sqrt[2]{{x +10}\over 5} \)]

Q6) \(z =8w. \) Find \((w).\) [ \(w\) = \(z\over8\)]

Q6) \(y =2z -5\) . Find z . [ \(z \)= \({y +5}\over2\)]

Q6) w =\( 10 x^ 2 + 6\). Find x . [ x = \( \sqrt[2]{{w -6}\over 10} \)]

Q7) \(w ={y \over 5.} \) Find \(y\). [ \(y\) = \(5w\)]

Q7) z = \(y\over 3\) -7. Find y . [ \(y \)= \(3( z +7)\)]

Q7) x =\( 3 z^ 3 -8\). Find z . [ z = \( \sqrt[3]{{x +8}\over 3} \)]

Q8) \(w =7x. \) Find \((x).\) [ \(x\) = \(w\over7\)]

Q8) \(x =5z -3\) . Find z . [ \(z \)= \({x +3}\over5\)]

Q8) z =\(w^ 2 + 10\). Find w . [ w= \( \sqrt[2]{z -10} \)]

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

Q9) w = \(y\over 7\) + 8. Find y . [ \(y \)= \(7( w -8)\)]

Q9) z =\( 5 x^ 3 + 3\). Find x . [ x = \( \sqrt[3]{{z -3}\over 5} \)]

Q10) \(y ={x \over 5.} \) Find \(x\). [ \(x\) = \(5y\)]

Q10) \(y =7z -3\) . Find z . [ \(z \)= \({y +3}\over7\)]

Q10) y =\( 5 x^ 3 + 6\). Find x . [ x = \( \sqrt[3]{{y -6}\over 5} \)]