Exit ticket · Simultaneous Equations (Linear & Quadratic)
  1. Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x - 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
  2. The graph shows the circle $x^2 + y^2 = 13$ (radius about 3.6) and the line $y = -x + 1$.The line meets the circle at two points.
    Use the graph to find the smaller of the two $x$-coordinates of these points.    -6-4-2246-6-4-2246xy
  3. The line $y = -6x + k$ is a tangent to the curve $y = x^2 - 1$.
    Work out the value of $k$.
Exit ticket · Simultaneous Equations (Linear & Quadratic)
  1. Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x - 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
  2. The graph shows the circle $x^2 + y^2 = 13$ (radius about 3.6) and the line $y = -x + 1$.The line meets the circle at two points.
    Use the graph to find the smaller of the two $x$-coordinates of these points.    -6-4-2246-6-4-2246xy
  3. The line $y = -6x + k$ is a tangent to the curve $y = x^2 - 1$.
    Work out the value of $k$.
Exit ticket · Simultaneous Equations (Linear & Quadratic)
  1. Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x - 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
  2. The graph shows the circle $x^2 + y^2 = 13$ (radius about 3.6) and the line $y = -x + 1$.The line meets the circle at two points.
    Use the graph to find the smaller of the two $x$-coordinates of these points.    -6-4-2246-6-4-2246xy
  3. The line $y = -6x + k$ is a tangent to the curve $y = x^2 - 1$.
    Work out the value of $k$.
Exit ticket · Simultaneous Equations (Linear & Quadratic)
  1. Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x - 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
  2. The graph shows the circle $x^2 + y^2 = 13$ (radius about 3.6) and the line $y = -x + 1$.The line meets the circle at two points.
    Use the graph to find the smaller of the two $x$-coordinates of these points.    -6-4-2246-6-4-2246xy
  3. The line $y = -6x + k$ is a tangent to the curve $y = x^2 - 1$.
    Work out the value of $k$.
Exit ticket · Simultaneous Equations (Linear & Quadratic)
  1. Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x - 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
  2. The graph shows the circle $x^2 + y^2 = 13$ (radius about 3.6) and the line $y = -x + 1$.The line meets the circle at two points.
    Use the graph to find the smaller of the two $x$-coordinates of these points.    -6-4-2246-6-4-2246xy
  3. The line $y = -6x + k$ is a tangent to the curve $y = x^2 - 1$.
    Work out the value of $k$.
Exit ticket · Simultaneous Equations (Linear & Quadratic)
  1. Solve the simultaneous equations $$\begin{aligned} y &= x^2 \\ y &= 3x - 2 \end{aligned}$$ Give the smaller of the two $x$-coordinates.
  2. The graph shows the circle $x^2 + y^2 = 13$ (radius about 3.6) and the line $y = -x + 1$.The line meets the circle at two points.
    Use the graph to find the smaller of the two $x$-coordinates of these points.    -6-4-2246-6-4-2246xy
  3. The line $y = -6x + k$ is a tangent to the curve $y = x^2 - 1$.
    Work out the value of $k$.
mathedup.co.uk · sheet 2ND3