Algebra 1 10401

2n - 3 = 6n + 9
|m + 8| = 12
|5y + 2| = 7y
|4k + 5| = |3k - 2|
A necklace chain costs $15. Beads cost $2.75 each. You spend a total of $28.75 on a necklace and beads before tax. How many beads did you buy in addition to the necklace?

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Unit 2 - Graphing Linear Functions

Terms to Know:

Terms to Know:

Inequality
Solution of an inequality
Solution set
Graph of an inequality
Equivalent inequalities
Compound inequality
Absolute Value inequality
Absolute deviation
coordinate plane
scatter plots
graphs to events
linking graphs to tables
linear functions
functions
function rule
three views of a function
graphing functions
probability formula

Notes: 10 Bullet Points from each section or 3-5 sentence summaries from each section.

Section 2.1: Writing and Graphing Inequalities

Section 2.2: Solving Inequalities Using Addition or Subtraction

Example 1

Example 2

Example 3

Section 2.3: Solving Inequalities Using Multiplication or Division

Example 1

Example 2

Example 3

Section 2.4: Solving Multi-Step Inequalities

Section 2.5: Solving Compound Inequalities

Section 2.6: Solving Absolute Value Inequalities

Example 1

Example 2

Example 3

Important Questions: Answer the following Questions

Write the sentence as an inequality.

The product of a number n and 2 is no less than 14.
The speed s on a highway is at most 60 miles per hour.
The length r of a rope should be at least 28 inches.

Solve the inequality.

2k > 2k + 4
4p < 6p + 12
5(p - 1) > 6p - 7
5 - 2x < 4 - 2x + 3
|3x + 15| < 6
6 < 4 - w <= 2w - 2
You need to earn at least $75. You earn $6.00 for each hour you work. Write and solve an inequality that represents the number of hours h that you need to work.

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Unit 3 - Writing Linear Functions

Terms to Know:

Terms to Know:

modeling and solving equations
two step equations
combing like terms to solve equations
using the distributive property
rational numbers and equations
using logical reasoning
probability
percent equation
percent of change

Notes: 10 Bullet Points from each section or 3-5 sentence summaries from each section.

Section 3.1: Functions

Section 3.2: Linear Functions

Section 3.3: Function Notation

Section 3.4: Graphing Linear Equations in Standard Form

Example 1

Example 2

Example 3

Section 3.5: Graphing Linear Equations in Slope-Intercept Form

Section 3.6: Transformations of Graphs of Linear Functions

Section 3.7: Graphing Absolute Value Functions

Important Questions: Answer the following Questions

Determine whether the relation is a function. If the relation is a function, determine whether the function is linear or nonlinear.

2y - 4 = 10
2xy = -8

Evaluate the function when x = -3, -2, and 1.

g(x) = -x² - 7
h(x) = |-2x - 6|

Find the x- and y-intercepts of the graph of the linear equation.

2x - 3y = -10
2x + 5y = -8
-4 - x = 14 - 3y

Identify the slope, y-intercept, and x-intercept of the graph of the linear equation.

y = -x + 3
4x - 6y = 14
3y + 4 = -10

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Unit 4 - Solving Systems of Equations

Terms to Know:

Terms to Know:

using proportions
equations with variables on both sides
transforming formulas
solving inequalities using addition and subtraction
solving inequalities using multiplication and division
solving multi step inequalities
compound inequalities
using a Venn diagram
interpreting solutions

Notes: 10 Bullet Points from each section or 3-5 sentence summaries from each section.

Section 4.1: Writing Equations in Slope-Intercept Form

Section 4.2: Writing Equations in Point-Slope Form

Section 4.3: Writing Equations of Parallel and Perpendicular Lines

Section 4.4: Scatter Plots and Lines of Fit

Example 1

Example 2

Example 3

Section 4.5: Analyzing Lines of Fit

Section 4.6: Arithmetic Sequences

Section 4.7: Piecewise Functions

Important Questions: Answer the following Questions

Write the slope-intercept form of the equation with the given characteristics.

Slope = 2/5; passes through (-3, 1)
Passes through (3, 5) and (-1, 5)
Slope = 1/2; x-intercept = 3
Parallel to the line 2x - y = 7; passes through (-5, -3)
Perpendicular to the line y = 3x + 8; passes through (-4, 1)

Determine if the sequence is arithmetic. If so, find the common difference.

-3, -1, 3, 5, ...
-1, -7, -13, -19, ...
-1.2, -0.1, 0.8, 1.7, ...

Tell whether a correlation is likely in the situation. Explain your reasoning.

the amount of gas in a car's tank and the number of miles driven
the height of a person and the length of the person's hair

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Unit 5 - Data Analysis and Displays

Terms to Know:

Terms to Know:

Slope
Dimensional analysis
rates of change
direct vatiation
slope-intercept form
range and scale
writing the equation of a line
displaying data
scatter plots and equations of lines
Ax+ By = C Form
Parallel lines
Perpendicular lines
using x-intercept

Notes: 10 Bullet Points from each section or 3-5 sentence summaries from each section.

Section 5.1: Solving Systems of Linear Equations By Graphing

Example 1

Example 2

Example 3

Section 5.2: Solving Systems of Linear Equations By Substitution

Example 1

Example 2

Example 3

Section 5.3: Solving Systems of Linear Equations By Elimination

Example 1

Example 2

Example 3

Section 5.4: Solving Special Systems of Linear Equations

Example 1

Example 2

Example 3

Section 5.5: Solving Equations By Graphing

Example 1

Example 2

Example 3

Section 5.6: Graphing Linear Inequalities In Two Variables

Section 5.7: System of Linear Inequalities

Important Questions: Answer the following Questions

Solve the system of linear equations using any method.

x - 5y = -30

3x + 5y = -10

x + 2y = -3

-5x + 2y = -65

-5x - 4y = -15

10x + 8y = 30

y = 2x + 3

-4x + 2y = 8

y = -5x + 6

2x + y = 6

Compare the slopes and y-intercepts of the graphs of the equations in the linear system to determine whether the system has one solution, no solution, or infinitely many solutions. Explain.

x = -3y + 28

x + 4y = 36

2x + 3y = 11

-4x - 6y = -22

x + 2y = 3

-2x - 4y = -20

You have $8.80 in pennies and nickels. You have twice as many nickels as pennies. Write a system of linear equations that models the situation. How many of each type of coin do you have?
You make $5 an hour in tips working at a video store and $7 an hour in tips working at a landscaping company. You must work at least 4 hours per week at the video store, and the total number of hours you work at both jobs in a week cannot be greater than 15. Write a system of linear inequalities to model the number of hours that you could work at each location in a week.

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