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Make a chosen letter the subject of a literal equation

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.CED.A.4, HSA.REI.B.3 · England: GCSE Foundation Algebra, GCSE Higher Algebra

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  1. Question 1

    Solve (x − b)/a = c for x.

    Answer

  2. Question 2

    Rearrange −3x + 4y = 0 to make y the subject. Type the expression for y.

    Answer

  3. Question 3

    Kinetic energy: E = ½mv². Make m the subject. Type the expression for m.

    Answer

  4. Question 4

    Solve a(x + b) = c for x.

    Answer

  5. Question 5

    Rearrange 6x + 5y = −5 to make y the subject. Type the expression for y.

    Answer

  6. Question 6

    Temperature: F = 1.8C + 32. Make C the subject. Type the expression for C.

    Answer

  7. Question 7

    Solve (x − b)/a = c for x.

    Answer

  8. Question 8

    Rearrange 3x + 2y = 4 to make y the subject. Type the expression for y.

    Answer

  9. Question 9

    Kinetic energy: E = ½mv². Make m the subject. Type the expression for m.

    Answer

  10. Question 10

    Solve m = (y − b)/x for y.

    Answer

  11. Question 11

    Rearrange −4x − 5y = 0 to make y the subject. Type the expression for y.

    Answer

  12. Question 12

    Simple interest: I = Prt. Make t the subject. Type the expression for t.

    Answer

  13. Question 13

    Solve a·x + b = c for x.

    Answer

  14. Question 14

    Rearrange −3x − 2y = 4 to make y the subject. Type the expression for y.

    Answer

  15. Question 15

    Density: d = m/V. Make V the subject. Type the expression for V.

    Answer

  16. Question 16

    Solve a·x + b = c for x.

    Answer

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Answer key: Make a chosen letter the subject of a literal equation

  1. 1. a*c+b

  2. 2. (3/4)x

  3. 3. 2*e/v^2

  4. 4. c/a-b

  5. 5. -(6/5)x-1

  6. 6. (f-32)/1.8

  7. 7. a*c+b

  8. 8. -(3/2)x+2

  9. 9. 2*e/v^2

  10. 10. m*x+b

  11. 11. -(4/5)x

  12. 12. i/(p*r)

  13. 13. (c-b)/a

  14. 14. -(3/2)x-2

  15. 15. m/d

  16. 16. (c-b)/a