A-level Mathematics/OCR/C1/Equations/Solutions

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Manipulating Equations[edit]

Collecting Like Terms[edit]

  1. 2x
  2. 4x^2
  3. 3x^3 + 5x
  4. 3zy + 2y + 2z
  5. -x^2 + 4x^2y - 4xy^2 + 7xy

Multiplication[edit]

  1. 4x^2
  2. 18x^2y^2
  3. 36ab^2xz
  4. 60x^5y^4z^2
  5. {\sqrt{x^5}}

Fractions[edit]

  1. x
  2. \frac{7x}{12}
  3. \frac{16xy}{15}
  4. 2x - y + z
  5. \frac{x^2+y^2}{xy}

Solving Equations[edit]

Changing the Subject of an Equation[edit]

  1. Solve for x.

    x = \frac{y}{2}

  2. Solve for z.

    z = \frac{x - 8}{3}

  3. Solve for y.

    y = b^2

  4. Solve for x.

    x = \sqrt {y + 9}

  5. Solve for b.

    b = \frac{6y + 7z}{6}

Solving Quadratic Equations[edit]

Find the Roots of:

  1. x = -2\ or\ 3
  2. x = 7\ or\ \frac{3}{2}
  3. x = 2\ or\ 3
  4. x = -1\ or\ 0
  5. x = -3\ or\ 4

Simultaneous Equations[edit]

  1. a = 4, s = 2
  2. c = \frac{2}{5}, d = 1
  3. b = 7, g = 12