Download Geometry and PreAP Geometry

Wakeland High School
Skills Review for Geometry and PreAP Geometry
1
Operations with Rational Numbers
Smplifying & Evaluating Expressions
Using the Distributive Property
2
Properties of Exponents
3
Solving Linear Equations
Example – solve for y
4
Radical Expressions
Examples – Simplify the Expression
5
Solving Formulas
A formula is an equation that relates two or more real-world quantities. You can rewrite a formula so
that any one of the variables is a function of the other variable(s). In each case, isolate a variable on
one side of the equation.
6
Graphing Points and Lines
A coordinate plane is formed by the intersection of the x-axis and the
y-axis. The axes meet at a point called the origin and divide the plane into
four quadrants. Each point in the coordinate plane is represented by an
ordered pair (x, y).
7
8
Slope and Intercepts of a Line
Solving Systems of Linear Equations
A solution of a system of linear equations is an ordered pair (x, y) that satisifies both equations.
The solution is the point where the two lines intersect.
x + 2y = 5
x – y = -1
Solutions: x = 1 and y = 2 written as (1, 2)
See answer key for
example of solution
9
Solving Quadratic Equations
A quadratic equation ax2 + bx + c (a ≠ 0) can have two solutions, one solution or no real solution. A
quadratic function y = ax2 + bx + c represents the graph of a parabola. The x-intercepts of the graph
are the real solutions of the equation.
You can solve a quadratic equation using a variety of methods: using the box method,
graphing and finding x-intercepts using a calculator or using the quadratic formula.
10
Pythagorean Theorem
Solve the right triangles using the Pythagorean Theorem – Find the value of the
variable. Leave your answer in simplified radical form if necessary.
1.
2.
y
3 ft.
x
3.
15 in.
x
5 cm
9 in.
4 ft.
13 cm
4.
5.
x..
5 3 mi.
6.
7 2 ft.
11 cm
x
9 cm
x
x
5 mi.
7.
8.
x
9.
12 mm
10 in.
4 3 m
4m
x
20 in.
x
8 mm
10.
11.
x..
4 mi.
12.
x
8 in
8 in.
41 cm
x
9 cm
6 mi.
11