Mr Daniels Maths
Rearranging Formula 2

Set 1

Set 2

Set 3

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

Q1) \(x =5y + 4\) . Find y . [ \(y \)= \({x -4}\over5\)]

Q1) y =\(x^ 3 + 3\). Find x . [ x= \( \sqrt[3]{y -3} \)]

Q2) \(w ={y \over 6.} \) Find \(y\). [ \(y\) = \(6w\)]

Q2) \(y =6x -3\) . Find x . [ \(x \)= \({y +3}\over6\)]

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

Q3) \(w ={x \over 8.} \) Find \(x\). [ \(x\) = \(8w\)]

Q3) \(x =8w -9\) . Find w . [ \(w \)= \({x +9}\over8\)]

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

Q4) \(x =7w. \) Find \((w).\) [ \(w\) = \(x\over7\)]

Q4) \(y =7z -9\) . Find z . [ \(z \)= \({y +9}\over7\)]

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

Q5) \(z =6x. \) Find \((x).\) [ \(x\) = \(z\over6\)]

Q5) y = \(w\over 10\) + 5. Find w . [ \(w \)= \(10( y -5)\)]

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

Q6) \(x =3y. \) Find \((y).\) [ \(y\) = \(x\over3\)]

Q6) y = \(x\over 10\) -2. Find x . [ \(x \)= \(10( y +2)\)]

Q6) w =\(y^ 2 -9\). Find y . [ y= \( \sqrt[2]{w +9} \)]

Q7) z =w + 4. Rearrange to find w . [ \(w = z -4\)]

Q7) x = \(y\over 7\) + 6. Find y . [ \(y \)= \(7( x -6)\)]

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

Q8) y =x + 9. Rearrange to find x . [ \(x = y -9\)]

Q8) \(z =8w + 10\) . Find w . [ \(w \)= \({z -10}\over8\)]

Q8) x =\( 2 w^ 3 -10\). Find w . [ w = \( \sqrt[3]{{x +10}\over 2} \)]

Q9) \(x ={z \over 9.} \) Find \(z\). [ \(z\) = \(9x\)]

Q9) y = \(w\over 5\) -9. Find w . [ \(w \)= \(5( y +9)\)]

Q9) z =\( 4 y^ 2 -5\). Find y . [ y = \( \sqrt[2]{{z +5}\over 4} \)]

Q10) \(y ={w \over 4.} \) Find \(w\). [ \(w\) = \(4y\)]

Q10) \(w =8y -10\) . Find y . [ \(y \)= \({w +10}\over8\)]

Q10) y =\( 10 x^ 2 -9\). Find x . [ x = \( \sqrt[2]{{y +9}\over 10} \)]