Mr Daniels Maths
Rearranging Formula 2

Set 1

Set 2

Set 3

Q1) \(z ={y \over 6.} \) Find \(y\). [ \(y\) = \(6z\)]

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

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

Q2) \(w =6x. \) Find \((x).\) [ \(x\) = \(w\over6\)]

Q2) w = \(z\over 6\) -7. Find z . [ \(z \)= \(6( w +7)\)]

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

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

Q3) \(w =3z -6\) . Find z . [ \(z \)= \({w +6}\over3\)]

Q3) z =\( 10 x^ 2 + 8\). Find x . [ x = \( \sqrt[2]{{z -8}\over 10} \)]

Q4) z =y -8. Rearrange to find y . [ \(y = z +8\)]

Q4) z = \(x\over 9\) -9. Find x . [ \(x \)= \(9( z +9)\)]

Q4) y =\(x^ 3 -4\). Find x . [ x= \( \sqrt[3]{y +4} \)]

Q5) \(x ={y \over 5.} \) Find \(y\). [ \(y\) = \(5x\)]

Q5) \(x =2y -8\) . Find y . [ \(y \)= \({x +8}\over2\)]

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

Q6) \(y =4z. \) Find \((z).\) [ \(z\) = \(y\over4\)]

Q6) z = \(w\over 9\) + 2. Find w . [ \(w \)= \(9( z -2)\)]

Q6) z =\( 10 y^ 2 + 7\). Find y . [ y = \( \sqrt[2]{{z -7}\over 10} \)]

Q7) y =x + 9. Rearrange to find x . [ \(x = y -9\)]

Q7) \(z =8x + 2\) . Find x . [ \(x \)= \({z -2}\over8\)]

Q7) z =\(y^ 3 -2\). Find y . [ y= \( \sqrt[3]{z +2} \)]

Q8) y =z + 6. Rearrange to find z . [ \(z = y -6\)]

Q8) z = \(y\over 3\) + 4. Find y . [ \(y \)= \(3( z -4)\)]

Q8) z =\( 3 y^ 2 + 8\). Find y . [ y = \( \sqrt[2]{{z -8}\over 3} \)]

Q9) w =z + 5. Rearrange to find z . [ \(z = w -5\)]

Q9) z = \(y\over 6\) -8. Find y . [ \(y \)= \(6( z +8)\)]

Q9) x =\(y^ 3 -8\). Find y . [ y= \( \sqrt[3]{x +8} \)]

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

Q10) \(y =9x -7\) . Find x . [ \(x \)= \({y +7}\over9\)]

Q10) w =\( 10 y^ 3 -2\). Find y . [ y = \( \sqrt[3]{{w +2}\over 10} \)]