Skip to Tutorial Content

Click Start Over at the left bottom to start Back to Contents


Problems

  1. In Figure 1, line AB passes A(2, 0) and crosses parabola \(y=ax^2\) at B and C. The coordinates of B is (1,1). \((1).\) Write down the equations for line AB and parabola. \((2).\) If the area of triangles \(\bigtriangleup OAD\) and \(\bigtriangleup OBC\) are equal, what is the coordinates of D?


Figure 1: Figure 1

  1. In Figure 2, line \(y=2x+8\) crosses parabola \(y=x^2\) at A and B. What are the coordinates of A and B? What is the area of the triangle \(\bigtriangleup OAB\)?


Figure 2: Figure 2

  1. Find all the real valued solutions to the equation \(|x^2 + 2x|=15\)

  2. Solve the equation \(|\frac{1}{2}z+4|=|4z-6|\)

  3. Solve each of the following inequalities

\((1). |12x + 1| \leq -9\)

\((2). |10 - 3x| \geq 4\)

\((3). |4t +9| <3\)

Solutions

  1. \(C=(-2, 4); D=(\sqrt{3}, 3)\)

  2. \((-2, 4), (4, 16)\), 24

  3. 3, -5

Set7