Progress Assessment (Lessons 1-15)

  1. Words to Mathematical Notation. a) x-3 b) 4x-6 c) x^2-3x d) x^2-3x=4x-6 e) 6 f) shorter: 3 longer: 6
  2. Equation of a Line. a) y=\frac{1}{2}x+\frac{5}{2} b) (0,\frac{5}{2})
  3. Match the Graphs & Equations.

    C x=2 ____________ A 2y=x^2-4x+4

    D 2x-y-4=0 ____ F y=-\frac{1}{2}x^2+2x-2

    B 2x+y-4=0 ____ B y=-2x+4

    E y=0 ____________ A y=\frac{1}{2}(x-2)^2

    D y=2x-4 _______ F 2y=-x^2+4x-4

  4. Simplify 1. \frac{x^6y^{15}}{2z^2}
  5. Simplify 2. a) 3x^3-14x-6 b) 33 c) x^2-6y^2+xy+5x+10y+4
  6. Inequalities. a) -5<x<1 b) (-5,1)
  7. Parabola.

    a) x-intercepts, further left: (\frac{1}{2},0), further right: (2,0)

    y-intercept: (0,10)

    Distance from the left x-intercept: \frac{1}{2}\sqrt{401}

    Distance from the right x-intercept: \sqrt{104}

  8. Critical Points.

    ___ bracket ____________________ bracket ___

    x ______] _______empty box______ [ ____ x

    _____ 1 __________________________ 4 __ <-- critical points

  9. Vertex of a Parabola. (-2,-1)