Final Exam Review Honors Algebra II Fall 20092010

Final Exam Review Honors Algebra II Fall 2009/2010 Non-Calculator Portion

Sketch a Polynomial Choose the polynomial function of degree five, which has one double root, one real root, and two complex roots. a) b) c) d)

Graphing Polynomials Choose the graph of the following polynomial: a) b) c)

Inverse Functions Find the inverse of the following function: a) b) c) d)

Properties of Logarithms Use the properties of logs to simplify the following. Evaluate the log(s) if possible. a) b) c) d)

Factorials List the first three factors of (n-1)! A) (n-1), (n+1) B) (n), (n-1), (n-2) C) (n-2), (n-3), (n-4) D) (n-1), (n-2), (n-3)

Properties of Polynomials Simplify the following. a) b) c) d)

Properties of Polynomials Simplify the following: (10 + i)2 a) b) c) d)

Properties of Polynomials Simplify the following: (5 + i)(5 - i) a) b) c) d)

Operations with Matrices Simplify the following: a) b) c) d)

Final Exam Review Part 2 Calculator Portion

Solving Systems of Equations Find the x-coordinate of the point of intersection of the following system of equations: x - 3 y + 3 z = -4 2 x + 3 y - z = 15 4 x - 3 y - z = 19

Logarithms Change the base of the following in order to graph in the calculator. a) b) c) d)

Solving Systems of Equations Solve this system: a) b) c) d) (1. 89, 8. 70) (-1. 56, 5. 34) (1. 89, 8. 70) and (1. 56, 5. 34) and

Solving Systems of Equations Solve for x, y, and z in the following system of equations. a) (53, 67, -87) b) (-4, 9, -17) c) (-4, -17, 9) d) (53, -87, 67)

Equation of a Circle Find the radius of the following:

Exponential Functions A radioactive isotope is decaying at a rate of 18% every hour. Currently, there is 100 grams of the substance. How much will be left one day from now? Round to the nearest hundredth gram.

Exponential Functions A radioactive isotope is decaying at a rate of 18% every hour. Currently, there is 100 grams of the substance. When will there only be one gram left? Round to the nearest hour.

Equation of a Circle Find the radius of the circle:

Solving Equations Solve for x: Enter the numeric answer. Round to the nearest hundredth.

Solving Equations Solve for x. a) b) c) d)

Evaluating Functions If and Enter the numeric answer. , find:

Solving Equations Solve for x: Enter the numeric answer.

Complex Fractions Simplify the following: a) b) c) d)

Dividing Polynomials Use any method discussed in class to divide the following polynomials. a) b) c) d)

Stem & Leaf Plot This is a stem-andleaf plot used to display train times in Japan. What time does the earliest train leave on weekdays? A) 6: 01 C) 5: 10 B) 5: 54 D) 5: 00

Probability You reach into a jar of coins. There are 75 total coins. 10 are pennies, 25 are dimes, 25 are nickels, and the rest are quarters. What is the likelihood that you reach in and pull out a quarter? A) B) C) D)

Box & Whisker Plots What percentage of data lies between each of the quartiles on a box and whisker plot? A) 20% B) 25% C) 30% D) 50%

Box & Whisker Plots What is the median of this data set?