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Rearranging algebraic Formulae for GCSE Mathematics

Rearranging algebraic Formulae for GCSE Mathematics. © David Weeks Free GCSE maths papers: www.mathsmadeeasy.co.uk. Slides self animate - Use mouse click after each slide. Start with e. Multiply all by 8 x8. Add 2 +2. Divide all by 8 ÷ 8. Start with H. Subtract 2 -2.

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Rearranging algebraic Formulae for GCSE Mathematics

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  1. Rearranging algebraic Formulae for GCSE Mathematics ©David Weeks Free GCSE maths papers: www.mathsmadeeasy.co.uk Slides self animate - Use mouse click after each slide

  2. Start with e Multiply all by 8 x8 Add 2 +2 Divide all by 8 ÷8 Start with H Subtract 2 -2 So e=(H-2)÷8 or e= (H-2) 8 Example1 © David Weeks, www.mathsmadeeasy.co.uk H=8e + 2, Make e the subject of the formulae Lets see how we got H. . . in H=8e + 2 We get H Do the exact opposite to get e . . We get e Your turn: Make a the subject of the formula F=6a +5

  3. Start with c Add 9 +9 Multiply all by 7 x7 Add 10 +10 We get V We get c Divide all by 7 ÷7 Minus 10 -10 Start with V Minus 9 -9 So c=(V-10)÷7 -9 or c= (V-10) - 9 7 Example 2 © David Weeks V=7(c+9)+ 10, Make c the subject of the formulae Lets see how we got V. . . In V=7(c+9)+10 Do the exact opposite to get c . . Your turn: Make z the subject of the formula F=6(z+9) + 8

  4. Start with s Add 4 +4 Squared all ( )2 Add 3 +3 We get T We get s Square root all √ Minus 3 -3 Start with T Minus 4 -4 So s=(T-3)√ -4 or s= √(T-3) - 4 Example 3 © David Weeks T=(s+4)2+ 3, Make s the subject of the formulae Lets see how we got T. . . In T=(s+4)2+3 Do the exact opposite to get s . . Your turn: Make p the subject of the formula F=(p+9)2 + 8

  5. X =(Y+5) - 6, Make Y the subject of the formulae 7 Start with Y Add 5 +5 Divide all by 7 ÷7 minus 6 -6 We get X We get Y Multiply all by 7 x7 Add 6 +6 Start with X Minus 5 -5 Your turn: Make g the subject of the formula F= (g+9) - 7 5 Example 4 © David Weeks Lets see how we got X. . . Do the exact opposite to get Y . . So Y=(X+6)x7 -5 or Y=7(X+6) - 5

  6. Start with u Square it u2 Add 7 +7 Multiply all by 4 x4 We get T We get u Square root All √ Minus 7 -7 Divide by 4 ÷ 4 Start with T So u=(T÷4 -7)√ or u= T – 7 4 Example 5 © David Weeks T=4(u2+7), Make w the subject of the formulae Lets see how we got T. . . In T=4(u2+7) Do the exact opposite to get w . . Your turn: Make p the subject of the formula F=5(p2 + 8)

  7. a=(F-5)÷6 or a= (F-5) 6 So p=(F÷5 -8)√ or p= F – 8 5 Answers © David Weeks Restart 1. Make a the subject of the formula F=6a +5 2. Make z the subject of the formula F=6(z+9) + 8 z=(F-8)÷6 -9 or z= (F-8) - 9 6 3. Make p the subject of the formula F=(p+9)2 + 8 So p=(F-8)√ -9 or p= √(F-8) - 9 4. Make g the subject of the formula F= (g+9) - 7 5 g=(F+7)x5 -9 or g=5(F+7) - 9 5. Make p the subject of the formula F=5(p2 + 8)

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