Name: ______Date: ______Period:______

Algebra II Semester 2 Exam Review

  1. Solve the system of equations by graphing.
  1. Solve the system of equations by using Substitution.
  1. Solve the system of equations by using Elimination.
  1. The senior classes at High School A & High School B planned separate trips to New York City. The senior class at High School A rented & filled 16 vans & 8 buses with 752 students. High School B rented & filled 5 vans & 5 buses with 380 students. Each van & each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
  1. Identify the axis of symmetry of the parabola
  1. Give the vertex of the parabola
  1. State the domain & the range of
  1. Give the intercepts of
  1. Factor & solve
  1. Factor & solve
  1. Simplify:
  1. Simplify:
  1. Simplify:
  1. Simplify
  1. Find the value of c that makes a perfect square.
  1. Solve by completing the square.
  1. Find the exact solution to by using the Quadratic Formula.
  1. State the discriminant, & describe the number & type of roots of
  1. Does open upwards or downwards? How do you know that by looking that the equation?
  1. Graph
  1. Identify the vertex, axis of symmetry, & direction of opening for
  2. Write a formula for a quadratic function that has its vertex at (-3, 5) & opens downwards.
  1. Graph
  1. Graph
  1. State the number of possible zeros, draw a sketch, & state the end behavior of .
  1. Use synthetic division to divide by .
  1. Factor completely, given that is already a factor.
  1. Write a polynomial equation with zeros .
  1. Write a polynomial equation with zeros .
  1. (f + g)(x)31. (g – h)(x)
  1. (f · g)(x)33.
  1. 35.
  1. 37.
  1. Graph
  1. Graph
  1. Simplify:
  1. Simplify:
  1. Simplify:
  1. Simplify:
  1. Simplify:
  1. Rewrite using rational exponents.
  1. Rewrite in radical form.
  1. Solve
  1. Solve
  1. Rewrite as a logarithmic function:
  1. Rewrite as an exponential function:
  1. Solve
  1. Solve
  1. Solve
  1. Graph
  1. Graph
  1. Solve
  1. Solve
  1. Rewrite & round to the nearest hundredth:
  1. Rewrite & round to the nearest hundredth:
  1. The initial number of bacteria in a culture is 67. The culture doubles each day. How many days will it take for the culture to reach 137,216?
  1. Simplify:
  1. Simplify:
  1. Simplify
  1. Graph
  1. Graph
  1. Suppose varies jointly as . Find when , if when .
  1. If varies directly as when , find when .
  1. If varies inversely as , & when , find when .
  1. Solve
  1. Write the formula for the sequence
  1. Write the formula for the sequence
  1. Denote the series in Sigma Notation: .
  1. Denote the series in Sigma Notation:
  1. Given, find .
  1. Given, find