Algebra: Changing the Subject of a Formula
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Questions and Answers

Make d the subject of e = d + 5

d = e - 5

Rearrange t = 2w to make w the subject

w = t / 2

Rearrange the formula a = c - w to make c the subject

  • c = a + w
  • c = w - a
  • c = a - w (correct)
  • c = aw
  • Make x the subject of y = 3x

    <p>x = y / 3</p> Signup and view all the answers

    Make w the subject of the formula y = 3w - a

    <p>w = (y + a) / 3</p> Signup and view all the answers

    Make w the subject of the formula s = w / a

    <p>w = a * s</p> Signup and view all the answers

    Find the value of v when u = 4 and t = 3 in v = u + 10t

    <p>v = 34</p> Signup and view all the answers

    Make u the subject of v = u + 10t

    <p>u = v - 10t</p> Signup and view all the answers

    Make t the subject of v = u + 10t

    <p>t = (v - u) / 10</p> Signup and view all the answers

    Given that x + y = 1, what does y equal?

    <p>y = 1 - x</p> Signup and view all the answers

    Study Notes

    Changing the Subject

    • To change the subject of a formula, rearrange the formula to isolate the desired variable.

    Equipment Needed

    • Pen

    Guidance

    • Read each question carefully before answering
    • Check answers for accuracy
    • Always show workings

    Video Tutorial

    Answers and Video Solutions

    Formulas and Solutions

    • Make d the subject of e = d + 5: d = e - 5
    • Make w the subject of t = 2w: w = t/2
    • Make c the subject of a = c - w: c = a + w
    • Make x the subject of y = 3x: x = y/3
    • Make w the subject of y = 3w - a: w = (y + a)/3
    • Make w the subject of s = a/w: w = a/s
    • Make u the subject of v = u + 10t: u = v - 10t
    • Make t the subject of v = u + 10t: t = (v - u)/10
    • Given x + y = 1, y = 1 - x
    • Make x the subject of y = k/x: x = ky
    • Make t the subject of m = 3t - 8: t = (m + 8)/3
    • Perimeter of a rectangle, P = 6x + 2
    • Express x in terms of P: x = (P - 2)/6
    • Make m the subject of hs = 4m: m = hs/4
    • Express v in terms of t: v = 4t + 1
    • Make d the subject of c = 4d + 5: d = (c - 5)/4
    • Make g the subject of a = g: g = a
    • Make y the subject of k = y3 + a: y = ∛(k - a)
    • Make x the subject of C = 4x + 5y: x = (C - 5y)/4
    • Make y the subject of 3y = 2x: y = 2x/3
    • Make x the subject of 2x - y + 1 = 0: x = (y - 1)/2
    • Make a the subject of 8 + c = 3 - a: a = 3 - c - 8
    • Make w the subject of a = 6/(w - 2): w = (6/a) + 2
    • Make t the subject of r = 3w + t: t = r - 3w
    • Make a the subject of a2 + b2 = c2: a = √(c2 - b2)
    • Make p the subject of ac = πp: p = ac/π
    • Make s the subject of v2 = u2 + 2as: s = (v2 - u2)/(2a)
    • Make y the subject of w = 3/(5y - 8): y = (8 + 3/w)/5

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    Learn how to change the subject of a formula by rearranging it to isolate the desired variable. Practice with examples and video tutorials.

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