Mr Daniels Maths
Rearranging Formula 2

Set 1

Set 2

Set 3

Q1) \(w =5z. \) Find \((z).\) [ \(z\) = \(w\over5\)]

Q1) x = \(z\over 7\) + 4. Find z . [ \(z \)= \(7( x -4)\)]

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

Q2) \(z =4y. \) Find \((y).\) [ \(y\) = \(z\over4\)]

Q2) \(z =8y + 6\) . Find y . [ \(y \)= \({z -6}\over8\)]

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

Q3) \(x =6y. \) Find \((y).\) [ \(y\) = \(x\over6\)]

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

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

Q4) \(y ={x \over 6.} \) Find \(x\). [ \(x\) = \(6y\)]

Q4) \(x =5w -7\) . Find w . [ \(w \)= \({x +7}\over5\)]

Q4) y =\( 6 z^ 3 -10\). Find z . [ z = \( \sqrt[3]{{y +10}\over 6} \)]

Q5) z =y + 10. Rearrange to find y . [ \(y = z -10\)]

Q5) \(z =4y -5\) . Find y . [ \(y \)= \({z +5}\over4\)]

Q5) z =\(y^ 2 -4\). Find y . [ y= \( \sqrt[2]{z +4} \)]

Q6) z =x + 2. Rearrange to find x . [ \(x = z -2\)]

Q6) \(w =8x -7\) . Find x . [ \(x \)= \({w +7}\over8\)]

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

Q7) \(y ={w \over 4.} \) Find \(w\). [ \(w\) = \(4y\)]

Q7) \(y =2w -3\) . Find w . [ \(w \)= \({y +3}\over2\)]

Q7) x =\( 4 w^ 2 -6\). Find w . [ w = \( \sqrt[2]{{x +6}\over 4} \)]

Q8) \(x ={y \over 2.} \) Find \(y\). [ \(y\) = \(2x\)]

Q8) z = \(w\over 8\) + 4. Find w . [ \(w \)= \(8( z -4)\)]

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

Q9) \(z =3y. \) Find \((y).\) [ \(y\) = \(z\over3\)]

Q9) z = \(w\over 5\) + 7. Find w . [ \(w \)= \(5( z -7)\)]

Q9) z =\( 3 x^ 3 -7\). Find x . [ x = \( \sqrt[3]{{z +7}\over 3} \)]

Q10) x =w + 4. Rearrange to find w . [ \(w = x -4\)]

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

Q10) w =\( 3 x^ 3 -4\). Find x . [ x = \( \sqrt[3]{{w +4}\over 3} \)]