Honors Precalculus is a very difficult course. You will be
learning many new concepts
and there is little time for reviewing old concepts. Work on this review
throughout the
summer . Do not wait until the day before school starts. You should complete this
entire
review without using a calculator . However, you might want to check your
work using a
calculator. All answers should be exact. Show all your work. This will be
collected on
the first day of class.
I. Factoring
Completely factor each expression below .
II. Solving Polynomial Equations
III. Simplifying Radical Expressions
Completely simplify the expression below. All denominators should be
rationalized .
IV. Area and Perimeter/Circumference
Find the area and perimeter (or circumference in # 2) of each figure below.
|
1. The figure is a triangle |
2. The figure is a circle |
 |
 |
|
3. The figure is a trapezoid |
4. The figure is a triangle |
 |
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V. Trigonometric Ratios
Find the unknown side . Then find the trigonometric ratios. Simplify all
radicals and
rationalize all denominators .
VI. Special Right Triangles
Find the exact length of the unknown sides in each triangle below.
VII. Radicals and Rational Exponents
Graph the functions below
Solve the equations below . Check for extraneous
solutions.
VIII. Rational Functions
Graph the functions below
Solve the equations below. Check for extraneous
solutions.
IX. Quadratic Equations and Vertex Form
Graph the functions below
Rewrite the quadratic equations in vertex form,
by completing the
square .
X. Piecewise Functions
In 1-3, graph the functions below. In 4, write the rule of the function .
XI. Conic Sections
Graph the functions below
Rewrite the conic sections in standard form by completing
the square. Then give the
name of the conic section represented.
XII. Logarithmic and Exponential Functions
Graph the functions below
Evaluate
Find the inverse of each function below.
XIII. Imaginary Numbers
Graph the complex number be low in the complex plane and find its magnitude.
Simplify.
Solve the equation over the complex numbers
