4.2 Graphing Linear Equations
A _ is an equation written in terms of x
and y, and can be written in the form: _.
A _ of an equation in two variables is an ordered
pair(x, y) that makes the equation tr
3.6 Solving Decimal Equations
Example 1 Round for the final answer.
Solve and round to the nearest hundredth.
-38x 39 = 118
Solve the equation. Round to the nearest hundredth.
1. 24x + 43 = 66
2. -42x
4.1 The Coordinate Plane and Scatter Plots
A _ is formed by two real number
lines that intersect at a right angle at the _.
The horizontal axis is the _ and the vertical axis is
the _.
Each point in a
4.4 Slope of a Line
Example 1 The Slope Ratio
Find the slope of a hill that has a vertical rise of 40 feet and a horizontal
run of 200 feet. Let m represent the slope.
The slope(m) of a line that pass
4.6 Graphing Lines Using Slope-Intercept Form
Slope Intercept Form:
y = mx + b
m = _, b = _
Example 1:
Find the slope and the y-intercept of 2x + y = -3.
*First, make sure the y is by itself
Find the
Chapter 5:
Writing Linear Equations
Mr. Baker
5.1 Writing Linear Equations in
Slope-Intercept Form
The slope-intercept form of an equation of a line with
slope _ and y-intercept _ is:
y = mx + b
Examp
Chapter 6:
Solving and Graphing Linear
Inequalities
Mr. Baker
6.1: Solving One-Step Linear Inequalities
The graph of a linear inequality in one variable is the set of points on a number
line that repr
4.5 Direct Variation
Model for Direct Variation: _ where k 0.
K is called the_.
Example 1 Write a Direct Variation Model.
The variables x and y vary directly. One pair of values is x = 5 and y =
20.
a
Variables in Algebra(1.1)
Define:
variable value variable expression numerical expression evaluateVariable Expressions
8y, 8*y,(8)(y)
16 , 16 y,
y
Meaning
8 times y
16 divided by 8
Operation
Multipli
1.3 Order of Operations
Definitions:
1) Order of Operations
2) Left to Right Rule -
Example 1: Evaluate without grouping symbols.
Evaluate the expression 3x2 + 1 when x = 4. Use the order of operatio
1.4 Equations and Inequalities
Define:
Equation:
Inequality:
Solution:
Example 1:
Check to see if 2 and 3 are solutions of the equation 4x + 1 = 9.
Example 2: Solve equations with mental math
To solv
1.5 Translating Words into Mathematical Symbols
Example 1 Translate Addition Phrases
Phrase
Translation
The sum of six and a number
_
8 more than a number
_
A number plus five
_
A number increased by
1.6 A Problem Solving Plan Using Models
Example 1 Write an Algebraic Model
You and some friends are at a Chinese restaurant. You order several $2
plates of wontons, egg rolls, and dumplings. Your bill
1.8 An Introduction to Functions
A _ is a rule that establishes a relationship between
two quantities, called the _ and the _.
For each input value there is exactly one output value.
One way to descri
2.1 The Real Number Line
Real numbers can be pictured as points on a line. Every real number is
either _, _, or _.
Real Number Line
The scale numbers on a real number line are equally spaced and
repre
4.3 Graphing Lines Using Intercepts
The _ is where the graph of a line crosses over the xaxis. The y-coordinate will be zero and the x-coordinate will be the
point where it crosses the x-axis.
The _ i
Variables in Algebra(1.1)
Define:
variable-
value-
variable expression-
numerical expression-
evaluate-
Variable Expressions
8y, 8*y,(8)(y)
16 , 16 y,
y
Meaning
8 times y
16 divided by 8
Operation
Mul
1.4 Equations and Inequalities
Define:
Equation:
Inequality:
Solution:
Example 1:
Check to see if 2 and 3 are solutions of the equation 4x + 1 = 9.
Example 2: Solve equations with mental math
To solv
1.5 Translating Words into Mathematical Symbols
Example 1 Translate Addition Phrases
Phrase
Translation
The sum of six and a number
_
8 more than a number
_
A number plus five
_
A number increased by
1.6 A Problem Solving Plan Using Models
Example 1 Write an Algebraic Model
You and some friends are at a Chinese restaurant. You order several $2
plates of wontons, egg rolls, and dumplings. Your bill
1.8 An Introduction to Functions
A _ is a rule that establishes a relationship between
two quantities, called the _ and the _.
For each input value there is exactly one output value.
One way to descri
1.3 Order of Operations
Definitions:
1) Order of Operations
2) Left to Right Rule -
Example 1: Evaluate without grouping symbols.
Evaluate the expression 3x2 + 1 when x = 4. Use the order of operatio
2.1 The Real Number Line
Real numbers can be pictured as points on a line. Every real number is
either _, _, or _.
Real Number Line
The scale numbers on a real number line are equally spaced and
repre
Addition Problem
5 + (-3)
-2 + (-6)
2.3 Subtracting Real Numbers
Equivalent Subtraction Problem
5-3
-2 6
Subtraction Rule
To subtract two real numbers, change the subtraction sign to a plus sign and c
2.2 Adding Real Numbers
You add a _ number by moving to the _ on
a number line.
You add a _ number by moving to the _ on
a number line.
Example 1 Add Using a Number Line
Use a number line to find the
Section 2.4: Adding and Subtracting Matrices
A _ is a rectangular arrangement of numbers into horizontal rows
and vertical columns.
Each number in the matrix is called an _ or an _.
The size of a matr
2.6 The Distributive Property
The Distributive Property
The product of a and (b + c):
a(b + c) = ab + ac
Ex: 3(x + 7) = _
(b + c)a = ba + ca
Ex: (x + 5)6 = _
The product of a and (b c):
a(b c) = ab
3.1 Solving Equations Using Addition and Subtraction
Equivalent Equations
Original Equation
Equation
X3=5
_
X + 6 = 10
_
X=83
_
Action
Equivalent
_
_
_
Two operations that will undo each other, such a