Download Algebra II

Algebra II
Review for Test Ch. 2.7, 2.8, 3.1, 3.2, and 3D Graphing
Be able to:
 Use all of the mathematics we’ve learned previously in this class.
 Think.
 Evaluate piecewise functions when given a value to substitute for x.
 Graph piecewise functions when given a piecewise function.
 Graph the function f(x) = x .
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Write the general form of an absolute value function (at the top of p. 123) and
explain how a, h, and k change the graph of f(x) = x .
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Graph absolute value functions of the form a x  h  k .
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Describe what a system of two equations is (p. 139)
Describe what a solution of a system of equations is (p. 139)
Check that an ordered pair is a solution to a given system.
Solve systems of equations graphically (section 3.1)
Produce three graphs of three different types of systems: consistent and
dependent, consistent and independent, and inconsistent. (these words are used at
the top of p. 145, but we discussed them in depth in class)
 Solve systems of equations algebraically by
o Substitution (p. 148)
o Linear Combination (p. 149)
 Write and solve a simple system of equations when given a verbal scenario (p.
151 example 5)
 Graph an ordered triple on a graph with three variables (example 1 p. 170)
 Graph a section of a linear equation in three variables (p. 171 example 2)
In addition to studying the topics above, I recommend that you work the following
problems in order to prepare for the test. I have assigned more problems than I feel are
necessary to prepare you for the test. Work as many as you need to in order to prepare. I
will not collect these problems, but they will be discussed in class the day before test day.
IF YOU DO NOT HAVE QUESTIONS ABOUT THE MATERIAL ABOVE OR THE
ASSIGNED PROBLEMS BELOW, I WILL TEACH NEW MATERIAL INSTEAD OF
REVIEWING.
Recommended problems:
 P. 132 #’s 19-25
 P. 133 #’s 19-24
 P. 186 #’s 1-4
 P. 187 #’s 5-8 (any algebraic method means substitution or linear combination).
 P. 188 #’s 17-19
 P. 189 #’s 1-8, 15 – 21
Email me if you have any questions. [email protected]
Good Luck.