Section 3.7 Formulas and Functions
Formula: Algebraic equation that relates two or more reallife quanities.
Example 1: Use the formula for the area of a rectangle
A= lw
A) Find the formula for l
B) Use the new formula to find the length of a rectangle
tha
Section 4.2 Graphing Linear Equations
Solution of an equation:
Graph on an equation:
Example 1
Tell whether the ordered pairs are a solution to the equation: x + 3y = 6
(1,2)
(-3,3)
Example 1a
Tell whether the ordered pairs are a solution to the equation:
Section 4.3 Quick Graphs Using Intercepts
Terms to know:
x- intercept
y- intercept
Example 1
Find the x- and y-intercepts of: 2x + 3y = 6
Example 1a
Find the x- and y-intercepts of: 4x + 3y = 12
Example 2
Graph using intercepts: 3.5x + 7y = 14
Example 2a
Section 4.4 The Slope of a Line:
What is slope?
Types of slope
Find the slope of the line that passes through (-2, 2) and (3,4)
Find the slope of the line that passes through (-2, 2) and (3,4)
Find the slope of the line that passes through (-1, 2) and (3,
Section 11.4 Simplifying Rational Expressions
Rational Number:
Rational Expression:
Example 1: Simplify
a)
Example 1a)
Example 2:
b)
c)
Example 2a:
Example 3:
Example 3a:
Recognizing when expressions are undefined: look at our last few answers.
Section 1.1 Variables in Algebra
Variables: Letter used to represent numbers
Variable expression: A collection of numbers variables, and operations.
Evaluating expressions: Plugging in numbers for variables in an expression
Evaluate when y =2
a) 8y
c) y +
Section 1.2 Powers and Exponents
A power is the result of the
repeated multiplication of
factors. A power has a base and
a number called an exponent.
4 = 4* 4* 4
3
Example:
Writing products as exponents:
Base used a certain amount of times
13*13*13*13 =
Section 1.3 Order of Operations
PEMDAS
Evaluate when x = 4
Working left to right when things have the same priority
24 8 -6
15 * 2
16 + 4
Use a fraction bar as a grouping symbol
In NJ we are taxed 7% on all non clothing purchases. If I buy a shirt for $28
Section 1.4 Equations and Inequalities
Equations include an equal sign between two expressions.
An open sentence contains one or more variables
A number that makes a true statement is a to the equation
Check whether 2 and 3 are solutions to 3x + 1 = 7
Che
Section 2.1 The Real Number Line
Real numbers:
Origin:
Negative numbers:
Positive numbers
Graph the numbers and -2.3 on a number line
Graph the numbers
Graph -4 and -5, then write an inequality comparing the two.
Write two inequalities that compare -1/2 a
Section 2.2 -2.3 Addition and Subtraction of Real Numbers
7 + -3
-8 + 2
1.4 + (-2.6) +3.1
-1/2 + 3 +
-0.7 + 1.9 + 0.7
-3 + 2/3 + 1/3
On a standardized tests, students receive a score of +1 for each correct
answer and -1 for each incorrect answer. Those q
Section 3.1 Solving Equations Using Addition and Subtraction
Inverse Operations
X 5 = -13
y+5=8
-8 = n (-4)
11 = r -4
t- (-4) = 5
|-6| + y =11
Linear Equations: Do not occur in the denominator, all in a
square root symbol, or inside absolute value symbols
Section 2.4 Adding and Subtracting Matrices
Matrix:
Element:
Organizing data into a matrix
Write a matrix to organize the following information about your
Itunes collection.
Dance: 4 Groups, 6 Solo artists, 0 Collections
Rap: 8 Groups, 3 solo artists, 3 c
Section 3.3 Solving multistep equations
1) Read equation to yourself include all operations, what are
you trying to isolate or get by itself?
2) Simplify if possible, can you combine like terms? Can you
distribute?
3) Use inverse operations to get variabl