Mr Daniels Maths
Rearranging Formula 2

Set 1

Set 2

Set 3

Q1) x =z -10. Rearrange to find z . [ \(z = x +10\)]

Q1) \(w =10y + 5\) . Find y . [ \(y \)= \({w -5}\over10\)]

Q1) x =\(y^ 3 + 8\). Find y . [ y= \( \sqrt[3]{x -8} \)]

Q2) y =w + 8. Rearrange to find w . [ \(w = y -8\)]

Q2) \(w =2x + 6\) . Find x . [ \(x \)= \({w -6}\over2\)]

Q2) x =\( 6 z^ 3 -10\). Find z . [ z = \( \sqrt[3]{{x +10}\over 6} \)]

Q3) \(x ={y \over 10.} \) Find \(y\). [ \(y\) = \(10x\)]

Q3) x = \(y\over 6\) -5. Find y . [ \(y \)= \(6( x +5)\)]

Q3) x =\(z^ 2 + 5\). Find z . [ z= \( \sqrt[2]{x -5} \)]

Q4) w =z -2. Rearrange to find z . [ \(z = w +2\)]

Q4) y = \(z\over 8\) + 9. Find z . [ \(z \)= \(8( y -9)\)]

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

Q5) \(y ={z \over 7.} \) Find \(z\). [ \(z\) = \(7y\)]

Q5) \(w =8z -7\) . Find z . [ \(z \)= \({w +7}\over8\)]

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

Q6) \(x =10z. \) Find \((z).\) [ \(z\) = \(x\over10\)]

Q6) z = \(y\over 8\) + 6. Find y . [ \(y \)= \(8( z -6)\)]

Q6) z =\(w^ 3 + 6\). Find w . [ w= \( \sqrt[3]{z -6} \)]

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

Q7) z = \(w\over 5\) + 10. Find w . [ \(w \)= \(5( z -10)\)]

Q7) z =\( 8 w^ 2 + 7\). Find w . [ w = \( \sqrt[2]{{z -7}\over 8} \)]

Q8) \(w ={y \over 3.} \) Find \(y\). [ \(y\) = \(3w\)]

Q8) w = \(z\over 6\) + 2. Find z . [ \(z \)= \(6( w -2)\)]

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

Q9) w =x -8. Rearrange to find x . [ \(x = w +8\)]

Q9) \(y =5x -4\) . Find x . [ \(x \)= \({y +4}\over5\)]

Q9) y =\( 10 w^ 2 + 5\). Find w . [ w = \( \sqrt[2]{{y -5}\over 10} \)]

Q10) y =w -7. Rearrange to find w . [ \(w = y +7\)]

Q10) x = \(w\over 10\) -4. Find w . [ \(w \)= \(10( x +4)\)]

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