Name: _ Date: _ Period: _
11.5 The Distance Formula
The distance between two points ( x1 , y1 ) & ( x2 , y2 ) :
Examples: Find the distance between each pair of points whose coordinates are given. Express the
answer in simplest radical form and as a decim
Name: _ Date: _ Period: _
11.2 Operations with Radical Expression
Adding and Subtracting Radical Expressions
Only radicals with the SAME radicand (under the square root) can be added or subtracted
If the radicands are different, simplify first; then combi
Name: _ Date: _ Period: _
11.3 Radical Equations
Solving Radical Equations
1. Isolate the radical
2. Square both sides of the equation
3. Solve
Extraneous Solutions: a solution derived from an equation that is not a solution of the original equation
You m
Name: _ Date: _ Period: _
11.4 The Pythagorean Theorem
Pythagorean Theorem: For all right triangles
Converse: If
, then
where a and b are legs, c is the hypotenuse.
is a right triangle.
Examples Solve each equation.
1.
2.
3.
Examples Use the Pythagorean T
Name: _ Date: _ Period: _
10.5 Exponential Functions
Exponential Function: _
Graphing Exponential Functions using a Table
1. Graph y = 3 x . Then state the y-intercept.
x
y
-2
-1
0
1
2
x
1
2. Graph y = . Use the graph to determine the approximate value of
Name: _ Date: _ Period: _
10.6 Growth and Decay
Exponential Growth: y = ab x where a > 0 and b > 1
Exponential Decay: y = ab x where a > 0 and 0 < b < 1
a stands for _
b stands for _
x stands for _
To find the growth factor _ one to the growth rate (as a
Name: _ Date: _ Period: _
Algebra 1 Honors: Chapter 10 Review
1. Choose the letter that best matches each equation or phrase.
y = ab x
A. Axis of symmetry
f ( x ) = ax 2 + bx + c
B. Exponential growth/decay
a geometric property of parabolas
b
x=
2a
C. Exp