Substitution Method -
Steps to the Substitution Method
Step 1: Look for a variable to isolate.
Step 2: Isolate it! (Get it by itself.)
Step 3: Substitute into the OTHER equation.
Step 4: Solve for one variable.
Step 5: Plug answer back in to get other
var
Foundations of Geometry Chapter 8 Formulas
8.2 Angles in Polygons
Interior Angle Sum = 180(n 2)
Exterior Angle Sum = 360
8.3 Area of Squares and Rectangles
Area of a Square = s2
Area of a Rectangle = lw
8.4 Area of Triangles
Area of a Triangle = bh
8.5 Ar
CHAPTER 7: Similarity
7.4 Triangle Similarity SSS and SAS Similarity Postulates
In Lesson 7.3, we learned a shortcut to determine if two triangles are similar. The AA Postulate allowed us
to assume that two triangles were similar if we could find two pair
CHAPTER 6: Quadrilaterals
6.6 Reasoning About
Quadrilaterals
We have studied SIX types of special quadrilaterals in Chapter 6. The flowchart below depicts how all of
these special quadrilaterals are related. Each successive shape is a special example of t
CHAPTER 6: Quadrilaterals
6.4 Rhombuses, Rectangles
and Squares
Recall: A parallelogram is a four-sided figure (quadrilateral) with both pairs of
opposite sides parallel. Today we will study three special types of parallelograms:
(Square = combination of
CHAPTER 6: Quadrilaterals
6.3 Proving Parallelograms
This section is basically just an extension of lesson 6.2. In 6.2, you solved for
the missing sides and angles of a parallelogram. In this lesson, you are given all
the sides and angles so you can tell
CHAPTER~O: RIGHT TRIANGLES AND TRIGONOMETRY
Section Jo.2: Specia~ Right Triangles
45-45-90 Triangle Theorem
A 450-450-90 triangle is an isosceles right triangle,
where the hypotenuse is ~/~-times the ~ength of each ~eg.
the ~ength of the shorter leg and t
CHAPTER10:RightTrianglesand
Trigonometry
10.3SpecialRightTriangles
(306090)
YesterdaywelearnedthefirsttypeofspecialrighttriangleinGeometry,
calleda454590.Theruleforthistypeoftrianglewasasfollows:
leg
x
hypotenuse = (2)leg
45o
hypotenuse
x2
45o
leg x
Today
Chapter 10: Quadratic
Equations and Functions
10.4 Solving Quadratic Equations by
Square Roots
We have already learned how to solve quadratic equations by
graphing in lessons 10.1-10.3. Today we will begin to solve
quadratics algebraically by taking squar
Chapter 10: Quadratic
Equations and Functions
10.1 Graphing Quadratic Functions
Quadratic Function -
Every quadratic function has a U-shaped graph called a parabola.
The most basic parabola (called the parent function) is the graph
2
y = x , shown below:
Name
Date
Period
Mr. Carell
Algebra 1
9.5 - 9.8 Test Review
We have learned six (6) factoring methods in Chapter 9. On this test you will be
responsible to know and use all 6. They are:
1) GCF (Greatest Common Factor)
2) Trinomials (x2 + bx + c)
3) Trinom
Chapter 9: Polynomials
9.8 Factoring by Grouping
The last factoring method that we will learn in Chapter 9 is called "Grouping". Grouping
is used to factor polynomials that contain 4 terms.
Steps to factoring by Grouping:
-Create two groups by placing bra
Name
Date
Find the degree of each monomial.
1. 262e2
2. 5x
3.7y~
4. 19ab
Simplify.
t0, 5xs- 4x~
9.2a~b + 4a~b &St
~
cfw_
Write each polynomial in standard form. Then name each polynomial based on
its degree and number of terms.
t8. !~5x-xS +3
, 16, Sx~+2x
Chapter 9: Polynomials
9.2 Multiplying Polynomials
We have already learned how to add and subtract polynomials by combining like terms
(CLT). Today we will learn how to multiply polynomials.
To multiply polynomials, we must use the DISTRIBUTIVE PROPERTY!
Chapter 9: Polynomials
9.1 Adding and Subtracting Polynomials
Polynomial -
an algebraic expression containing one or more
"terms"
Example:
Monomial -
an algebraic expression containing exactly one
term
Example:
Binomial -
an algebraic expression containin
Name_
Date_
Period_
Algebra 1
Midterm Review
1) Solve each equation:
a)
b) + 9 = 13
x = 25
c) 64 = 9x +1
x = 10
d) = 10 4x
x=7
e) = 3x
x=3
x = 1/5
2) Solve for y:
a) 6x 3y = 12
b) 4y 8x = 16
y = 2x 4
y = 2x + 4
3) Solve and graph each inequality:
a) 3x +
Chapter 12: Rational Equations
12.5 Multiplying and Dividing
Rational Expressions
To multiply rational expressions, just MULTIPLY STRAIGHT ACROSS, and then simplify.
To multiply some rational expressions, we must first FACTOR, and then simplify.
To divide