Mr Daniels Maths
Rearranging Formula 2

Set 1

Set 2

Set 3

Q1) \(x ={w \over 2.} \) Find \(w\). [ \(w\) = \(2x\)]

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

Q1) w =\( 4 z^ 2 + 6\). Find z . [ z = \( \sqrt[2]{{w -6}\over 4} \)]

Q2) \(y =9z. \) Find \((z).\) [ \(z\) = \(y\over9\)]

Q2) \(x =9w -4\) . Find w . [ \(w \)= \({x +4}\over9\)]

Q2) x =\(y^ 2 + 8\). Find y . [ y= \( \sqrt[2]{x -8} \)]

Q3) \(z =3w. \) Find \((w).\) [ \(w\) = \(z\over3\)]

Q3) \(w =2z -3\) . Find z . [ \(z \)= \({w +3}\over2\)]

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

Q4) \(z =10w. \) Find \((w).\) [ \(w\) = \(z\over10\)]

Q4) x = \(w\over 8\) + 4. Find w . [ \(w \)= \(8( x -4)\)]

Q4) z =\( 4 x^ 2 + 10\). Find x . [ x = \( \sqrt[2]{{z -10}\over 4} \)]

Q5) \(x ={z \over 8.} \) Find \(z\). [ \(z\) = \(8x\)]

Q5) \(x =3w -2\) . Find w . [ \(w \)= \({x +2}\over3\)]

Q5) w =\( 6 y^ 3 -8\). Find y . [ y = \( \sqrt[3]{{w +8}\over 6} \)]

Q6) x =w + 8. Rearrange to find w . [ \(w = x -8\)]

Q6) y = \(x\over 9\) -2. Find x . [ \(x \)= \(9( y +2)\)]

Q6) x =\(z^ 3 -7\). Find z . [ z= \( \sqrt[3]{x +7} \)]

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

Q7) z = \(w\over 3\) -9. Find w . [ \(w \)= \(3( z +9)\)]

Q7) y =\( 9 z^ 2 + 4\). Find z . [ z = \( \sqrt[2]{{y -4}\over 9} \)]

Q8) x =y + 4. Rearrange to find y . [ \(y = x -4\)]

Q8) \(y =4w -10\) . Find w . [ \(w \)= \({y +10}\over4\)]

Q8) y =\(x^ 2 + 2\). Find x . [ x= \( \sqrt[2]{y -2} \)]

Q9) z =y -7. Rearrange to find y . [ \(y = z +7\)]

Q9) x = \(y\over 9\) + 8. Find y . [ \(y \)= \(9( x -8)\)]

Q9) x =\(y^ 2 + 7\). Find y . [ y= \( \sqrt[2]{x -7} \)]

Q10) y =z + 9. Rearrange to find z . [ \(z = y -9\)]

Q10) y = \(x\over 8\) + 7. Find x . [ \(x \)= \(8( y -7)\)]

Q10) w =\(z^ 2 + 6\). Find z . [ z= \( \sqrt[2]{w -6} \)]