Mr Daniels Maths
Rearranging Formula 2

Set 1

Set 2

Set 3

Q1) x =z -5. Rearrange to find z . [ \(z = x +5\)]

Q1) \(w =7y -9\) . Find y . [ \(y \)= \({w +9}\over7\)]

Q1) x =\( 6 w^ 2 -7\). Find w . [ w = \( \sqrt[2]{{x +7}\over 6} \)]

Q2) \(x ={y \over 8.} \) Find \(y\). [ \(y\) = \(8x\)]

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

Q2) y =\( 9 z^ 2 -5\). Find z . [ z = \( \sqrt[2]{{y +5}\over 9} \)]

Q3) \(y =8z. \) Find \((z).\) [ \(z\) = \(y\over8\)]

Q3) \(x =10w + 9\) . Find w . [ \(w \)= \({x -9}\over10\)]

Q3) y =\(z^ 3 -10\). Find z . [ z= \( \sqrt[3]{y +10} \)]

Q4) y =w + 5. Rearrange to find w . [ \(w = y -5\)]

Q4) y = \(w\over 8\) -5. Find w . [ \(w \)= \(8( y +5)\)]

Q4) x =\(z^ 2 + 6\). Find z . [ z= \( \sqrt[2]{x -6} \)]

Q5) \(z =9y. \) Find \((y).\) [ \(y\) = \(z\over9\)]

Q5) y = \(w\over 10\) + 8. Find w . [ \(w \)= \(10( y -8)\)]

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

Q6) \(y ={w \over 8.} \) Find \(w\). [ \(w\) = \(8y\)]

Q6) y = \(z\over 6\) -5. Find z . [ \(z \)= \(6( y +5)\)]

Q6) w =\( 10 x^ 2 -5\). Find x . [ x = \( \sqrt[2]{{w +5}\over 10} \)]

Q7) \(x =5z. \) Find \((z).\) [ \(z\) = \(x\over5\)]

Q7) w = \(y\over 9\) -2. Find y . [ \(y \)= \(9( w +2)\)]

Q7) w =\( 5 x^ 2 + 6\). Find x . [ x = \( \sqrt[2]{{w -6}\over 5} \)]

Q8) \(w ={x \over 6.} \) Find \(x\). [ \(x\) = \(6w\)]

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

Q8) z =\( 8 x^ 2 -10\). Find x . [ x = \( \sqrt[2]{{z +10}\over 8} \)]

Q9) \(z ={x \over 3.} \) Find \(x\). [ \(x\) = \(3z\)]

Q9) \(z =5w -8\) . Find w . [ \(w \)= \({z +8}\over5\)]

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

Q10) \(z =2y. \) Find \((y).\) [ \(y\) = \(z\over2\)]

Q10) \(x =9z + 4\) . Find z . [ \(z \)= \({x -4}\over9\)]

Q10) z =\( 8 y^ 3 -5\). Find y . [ y = \( \sqrt[3]{{z +5}\over 8} \)]