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## Algebra 1: 01-Introduction to Algebra

A025 - Verbal to Algebraic Expressions
100.00% Review
A026 - Verbal to Algebraic Equations
A027 - Declaring Variables
A074- Order of Operations
A075-Order of Operations with Substitution
A079- Adding & Subtracting Real Numbers
A080- Multiplying & Dividing Real Numbers
Alg2/T CC 02 - Properties of Real Numbers
A081-Distributive Property
A082-Finding the Solution to an Equation

## Algebra 1: 02-Solving Equations

A016 - Solving One-Step Equations
A017 - Solving Equations
A083-Multi-Step Equations
A084-Multi-Step Equations (Variable on Both Sides)
A020 - Linear Equations
A021 - Solving Proportions
A062-Complex Proportions
A085- Percents
A086- Percent Change

## Algebra 1: 03-Solving Inequalities

A087-Graphing Inequalities
A088-Solving Inequalities Using Addition or Subtraction
A089- Solving Inequalities Using Multiplication & Division
A018 - Solving Inequalities
20.00% Review
A071- Compound Inequalities
A090-Solving Compound Inequalities
A091 - Absolute Value Equations
60.00% Review
A092 - Absolute Value Inequalites

## Algebra 1: 04-Functions

A094- Using Graphs to Relate two Quantities
60.00% Review
A095- Patterns and Linear Functions
A096- Patterns and Nonlinear Functions
A097- Graphing a Function Rule
A098- Writing a Function Rule
A099- Formalizing Relations and Functions
90.00% Review

## Algebra 1: 05-Linear Functions

A100- Slope
A037 - Slope of the Line Given Two Points
A038 - Equation of a Line, Given Slope and Y-Intercept
A102-Equation of a Line (Slope-Intercept Form)
A103- Equation of a Line (Point- Slope Form)
A143- Equation of a Line, Given a Point and Slope
A039 - Equation of a Line Given Point and Slope
A104-Equation of a Line (Standard Form)
A105-Equations of Parallel and Perpendicular Lines
A106- Scatter Plots and Trend Lines
A107-Graphing Absolute Value Functions

## Algebra 1: 06-Systems of Equations and Inequalities

A048 - Solving a System of Equations Graphically
A108-Solving a System of Equations Graphically
A051 - Solving a System of Equations Using Substitution
A109- Solving a System of Equations with Substitution
A050 - Solving a System of Equations Using Elimination
A110- Solving a System of Equations using Elimination
A111- Applications of Linear Systems (Systems of Equations)
A055 - Word Problems: Systems of Equations
A056 - Word Problems: System of Equations II
A112-Graphing Linear Inequalities
A113- Systems of Linear Inequalities
A053 - Solving a System of Inequalities

## Algebra 1: 07-Exponents and Exponential Functions

A002- Positive Exponents
A003 - Negative Exponents
A004 - Multiplying Terms That Have Exponents
A005 - Dividing Terms That Have Exponents
A114-Graphs of Exponential Functions
A069 - Exponential Growth
A070- Exponential Decay

## Algebra 1: 08-Polynomials & Factoring

A012 - Subtracting Polynomials
A013 - Multiplying a Polynomial by Monomial (Distributing)
A014 - Dividing a Polynomial by a Monomial
A015 - Factor-Out the Greatest Common Factor
A117-Factoring GCF
A118-Multiplying Binomials
A119- Multiplying a Trinomial by a Binomial
A061-Binomial Times a Trinomial
A120- Multiplying Binomials (Special Cases)
A035 - Difference of Two Perfect Squares
A121 - Factoring by Grouping

## Algebra 1: 09-Quadratic Functions and Equations

A042 - Properties of Quadratic Equations
A122 - Solving Quadratic Equations By Taking Square Roots
A127 - Simplifying Rational Expressions
A057 - Completing the Square
A058 - Solve Equations by Completing the Square
A124- Completing the Square
A049 - Solve a System of Equations Graphically (Linear and Quadratic)
A052 - Solving a System of Equations Using Substitution

## Algebra 1: 10-Radical Expressions & Functions

A045 - Pythagorean Theorem
A060 - Solving Equations That Have Radical Terms
A126- Graphing Square Root Functions
A046 - SOHCAHTOA
A047-Inverse Trigonometric Functions

## Algebra 1: 11-Rational Expressions & Functions

A127 - Simplifying Rational Expressions
A128-Multiplying and Dividing Rational Expressions
A129- Dividing Polynomials
A130- Adding & Subtracting Rational Expressions
A019 - Fractional Equations
A131- Solving Rational Equations
A132-Inverse Variation
A133- Graphing Rational Functions

## Algebra 1: 12-Data Analysis & Probability

A134- Organizing Data Using Matrices
A135- Frequency and Histograms
A136- Measures of Central Tendency and Dispersion
A137- Box and Whisker Plots
A138- Samples and Surveys
A139- Permutations and Combinations
A140- Theoretical and Experimental Probability
A141 - Probability of Compound Events

## I. Introduction to Algebra

### Lesson: Verbal to Algebraic Expressions & Equations

Example: How do you write 5 greater than $x$ algebraically?

### Lesson: Declaring Variables

Example: Mike is 3 inches taller than Semande. If Semande is s inches tall, express Mike’s height in terms of s.

### Lesson: Order of Operations

Example: Evaluate $3 - (5-8)^2$

### Lesson: Order of Operations with Substitution

Example: If $x=2$, what is the value of $2x^2-3x$?

### Lesson: Adding and Subtracting Real Numbers

Example: Evaluate $5 - (-2)$

### Lesson: Multiplying and Dividing Real Numbers

Example: Evaluate $-3 \times 4$

### Lesson: Properties of Real Numbers

Example: Which property justifies the following equation: $5(x+2y)+5=5x+10y+5$

### Lesson: Distributive Property

Example: Simplify $3(4x-5)$

### Lesson: Finding the Solution to an Equation

Example: Is 7 a solution to the equation $12 = 3x - 9$?

## II. Solving Equations

### Lesson: Solving Algebraic Equations (One-Step)

Example: Solve for $x$.
$x+7=12$

### Lesson: Solving Multi-Step Equations

Example: Solve for $x$.
$2x + 4 = 18$

### Lesson: Multi-Step Equations (Variable on Both Sides)

Example: Solve for $x$.
$2x - 4 = -3x + 11$

### Lesson: Linear Equations

Example: Solve for $y$.
$3y + 2x = 12$

### Lesson: Solving Proportions

Example: Solve for $x$.
$\dfrac{x}{6} = \dfrac{20}{15}$

### Lesson: Solving Complex Proportions

Example: Solve for $x$.
$\dfrac{x+5}{4} = \dfrac{3}{8}$

### Lesson: Percents

Example: What is 48% of 30?

### Lesson: Percent Change

Example: What is the percent change from 50 to 72?

## III. Solving Inequalities

### Lesson: Graphing Inequalities

Example: Graph k < 1

### Lesson: Solving Inequalities Using Addition or Subtraction

Example: Solve for $x$.
$x - 12 > 8$

### Lesson: Solving Inequalities Using Multiplication or Division

Example: Solve for $x$.
$-4x \geq 12$

### Lesson: Solving Inequalities

Example: Solve for $x$.
$-7x + 19 \leq -2$

### Lesson: Solving Compound Inequalities

Example: Solve for $x$.
$-3 \leq 2x -5$ < $21$

### Lesson: Solving and Graphing Compound Inequalities

Example: Solve for $x$ and graph.
$0 \leq r + 5$ < $9$

### Lesson: Absolute Value Equations

Example: Solve for $p$.
$9 + |5p + 1| = 18$

### Lesson: Absolute Value Inequalities

Example: Solve for $x$.
$3|5x + 1|$ > $12$

## IV. Functions

### Lesson: Using Graphs to Relate Two Quantities

Example: A bird flies above ground in search of worms. This is represented in the table below.

What does A represent?

### Lesson: Patterns and Linear Functions

Example: Is the following graph linear?

Example: For each set of ordered pairs, write the rule that represents the function.
$(0, 3), (1, 8), (2, 13), (3, 18), (4, 23)$

### Lesson: Patterns and Non-Linear Functions

Example: Is the following a linear or nonlinear function?

Example: For the set of ordered pairs, write the rule that represents the function.
(0,1),(1,3),(2,9),(3,27),(4,81)

### Lesson: Graphing a Function Rule

Example: Match the function with its graph.

### Lesson: Writing a Function Rule

Example: Write the function rule for the table of values.

### Lesson: Formalizing Relations and Functions

Example: Is the following relation shown a function?
(-2, 0.5), (0, 2.5), (4, 6.5), (5, 2.5)

## V. Linear Functions

### Lesson: Slope

Example: What is the slope of the line below?

Example: What is the slope of the line that passes through the points (2, 7) and (5, 12)?

Example:

### Lesson: Point Slope Form

Example:

What is the point-slope form of a line passing through the point (1,2) with a slope of -2?

• Practice 01
• Practice 02

Example:

### Lesson: Standard Form of the Equations of a Line

Example:

What is the standard form equation of the line $30-3y=15x$?

• Practice 01
• Practice 02

Example:

### Lesson: Equations of Parallel and Perpendicular Lines

Example:

• What is the equation of the line that passes through (2,4) and is parallel to $y=3x-1$

Example:

What is the equation of the line that passes through (2,4) and is perpendicular to $y=3x-1$

• Practice 01
• Practice 02

### Lesson: Scatterplots and Trendlines

Example:

• If the trend continues, what is the expected y-value when x is 8, based on the scatterplot shown below?

### Lesson: Graphing Absolute Value Functions

Example:

Graph the equation $y=|x|-1$

• Practice 01
• Practice 02

## VI. Systems of Equations and Inequalities

### Lesson: Solving a System of Equations Graphically

Example:

Solve the following system of equations graphically: $y=2x+3$ and $y=-3x+3$

• Practice 01
• Practice 02

### Lesson: Solving a System of Equations Graphically

Example:

Solve the following system of equations graphically: $y=x-7$ and $y=-4x+1$

• Practice 01
• Practice 02

### Lesson: Solving a System of Equations Using Substitution

Example:

Solve the following system of equations by using substitution: $y=5x+5$ and $y=-2x$

• Practice 01
• Practice 02

### Lesson: Solving a System of Equations Using Substitution

Example:

Solve the following system of equations by using substitution: $y=x$ and $y=-7x+3$

• Practice 01
• Practice 02

### Lesson: Solving a System of Equations Using Elimination

Example:

Solve the following system of equations by using elimination: $3x+2y=15$ and $-6x+5y=3$

• Practice 01
• Practice 02

### Lesson: Solving a System of Equations Using Elimination

Example:

Solve the following system of equations by using elimination: $2x+3y=10$ and $3x-2y=3$

• Practice 01
• Practice 02

Example:

### Lesson: Word Problems – System of Equations

Example:

Smith and Jones are selling cookies. Smith sold 4 chocolate chip and 6 sugar cookies for a total of $60. Jones sold 5 chocolate chip and 3 sugar cookies for a total of$30. How much does a chocolate chip cookie cost?

• Practice 01
• Practice 02

### Lesson: Word Problems – System of Equations

Example:

Rose is selling tickets to the school play to the first and second graders. The first graders bought 12 tickets for Friday night and 15 tickets to Saturday night for a total of $400. The second graders bought 14 tickets to Friday night and 10 tickets to Saturday night for a total of$420. How much does a Friday night ticket cost?

• Practice 01
• Practice 02

### Lesson: Graphing Linear Inequalities

Example:

Sketch the solution to the system of inequalities: $y \textless 3x-5$ and $y \geq -2x+1$

• Practice 01
• Practice 02

### Lesson: Graphing Linear Inequalities

Example:

• What system of inequalities is shown below?

### Lesson: Solving a System of Linear Inequalities

Example:

What is the solution to the following system of inequalities: $y \geq x+4$ and $y \leq 6x-1$

• Practice 01
• Practice 02

## VII. Exponents and Exponential Functions

### Lesson: Positive Exponents

Example:

Evaluate $3^2$

• Practice 01
• Practice 02

### Lesson: Negative Exponents

Example:

Evaluate $2^{-3}$

• Practice 01
• Practice 02

### Lesson: Multiplying & Dividing Terms that have Exponents

Example:

Simplify $(4^3) (4^2)$

• Practice 01
• Practice 02

### Lesson: Multiplying & Dividing Terms that have Exponents

Example:

Simplify $\dfrac{3^6}{3^2}$

• Practice 01
• Practice 02

### Lesson: Graphs of Exponential Functions

Example:

Graph the function $y=2^x$

• Practice 01
• Practice 02

### Lesson: Exponential Growth

Example:

The population of an ant colony increases by 100 each year. Is this linear or exponential growth?

• Practice 01
• Practice 02

### Lesson: Exponential Decay

Example:

Is the function $y=4^{-x}+2$ exponential decay?

• Practice 01
• Practice 02

## VIII. Polynomials and Factoring

### Lesson: Adding & Subtracting Polynomials

Example:

Simplify $(3x+2)+(2x-1)$

• Practice 01
• Practice 02

### Lesson: Adding & Subtracting Polynomials

Example:

Simplify $(x-2)-(5x+6)$

• Practice 01
• Practice 02

### Lesson: Multiplying a Polynomial by a Monomial

Example:

Simplify $4(-x+5)$

• Practice 01
• Practice 02

### Lesson: Dividing a Polynomial by a Monomial

Example:

Simplify $\dfrac{4x+6}{2}$

• Practice 01
• Practice 02

### Lesson: Factor Out the Greatest Common Factor

Example:

Factor out the GCF from $4x+16$

• Practice 01
• Practice 02

### Lesson: Factor Out the Greatest Common Factor

Example:

Factor out the GCF from $9x^3 + 3x^2$

• Practice 01
• Practice 02

### Lesson: Multiplying Binomials

Example:

Multiply $(3x+2)(x-4)$

• Practice 01
• Practice 02

### Lesson: Multiplying a Binomial by a Trinomial

Example:

Multiply $(2x-1)(3x^2 -x +2)$

• Practice 01
• Practice 02

### Lesson: Multiplying a Trinomial by a Binomial

Example:

Multiply $(-x^2 +3x-5)(3x+2)$

• Practice 01
• Practice 02

### Lesson: Multiplying Binomials (Special Cases)

Example:

Multiply $(3x+3)^2$

• Practice 01
• Practice 02

Example:

Factor $x^2 +2x -24$

• Practice 01
• Practice 02

Example:

Factor $x^2 -13x+36$

• Practice 01
• Practice 02

### Lesson: Difference of Perfect Squares

Example:

Factor $x^2 -64$

• Practice 01
• Practice 02

### Lesson: Factoring by Grouping

Example:

Factor $x^3 +4x^2 -4x -16$

• Practice 01
• Practice 02

## IX. Quadratic Functions and Equations

Example:

Evaluate $y=x^2 +3x -2$ at $x=2$

• Practice 01
• Practice 02

### Lesson: Properties of Quadratic Functions

Example:

Is the point (3,7) a solution to the function $y=x^2 +x -5$?

• Practice 01
• Practice 02

### Lesson: Solving Quadratic Equations by Taking Square Roots

Example:

What are the solutions to $x^2 = 16$?

• Practice 01
• Practice 02

### Lesson: Solving Equations by Factoring

Example:

What are the solutions to $x^2 +9x +18$?

• Practice 01
• Practice 02

### Lesson: Completing the Square

Example:

What should be the value for $c$ when completing the square for $a^2 -8a +c$?

• Practice 01
• Practice 02

### Lesson: Solve Equations by Completing the Square

Example:

Find the solutions to $x^2 +6x -10=0$ by completing the square

• Practice 01
• Practice 02

### Lesson: Vertex Form of a Quadratic Function by Completing the Square

Example:

Complete the square to find the vertex of $y=x^2 +8x -12$

• Practice 01
• Practice 02

### Lesson: Solving a System of Equations Graphically (Linear & Quadratic)

Example:

Solve the following system of equations graphically: $y=x^2+4x+4$ and $y=x+2$

• Practice 01
• Practice 02

### Lesson: Solving a System of Equations Using Substitution (Linear & Quadratic)

Example:

Solve the following system of equations by using substitution: $y=x^2 -4x +12$ and $y=3x$

• Practice 01
• Practice 02

## X. Radical Expressions and Functions

### Lesson: Pythagorean Theorem

Example:

If the legs of a right triangle measure 5 and 12, what is the length of the hypotenuse?

• Practice 01
• Practice 02

Example:

Simplify $\sqrt{45}$

• Practice 01
• Practice 02

Example:

Simplify $2\sqrt{27} + 3\sqrt{3}$

• Practice 01
• Practice 02

Example:

Simplify $\sqrt{3x^3} \cdot \sqrt{2x}$

• Practice 01
• Practice 02

Example:

Simplify $\dfrac{\sqrt{5x^2 y^3}}{\sqrt{x^3 y^4}}$

• Practice 01
• Practice 02

### Lesson: Solving Equations That Have Radical Terms

Example:

Solve for x: $\sqrt{x+3} -5 = 10$

• Practice 01
• Practice 02

### Lesson: Solving Equations That Have Radical Terms

Example:

Solve for x: $\sqrt{3x}=12$

• Practice 01
• Practice 02

### Lesson: Graphing Square Root Functions

Example:

Graph the function $y=\sqrt{x} -1$

• Practice 01
• Practice 02

### Lesson: SOHCAHTOA (sine, cosine, tangent)

Example:

In $\triangle ABC$, $\angle C$ is a right angle, $m\angle A = 30 \textdegree$, and $\overline{AB} = 10$. What is the measure of $\overline{BC}$?

• Practice 01
• Practice 02

### Lesson: Inverse Trigonometric Functions

Example:

Given that $\triangle ABC$ is a right triangle with $\angle C$ as the right angle, $\overline{AB} = 12$ and $\overline{BC} = 7$. What is the measure of $\angle A$?

• Practice 01
• Practice 02

## XI. Rational Expressions and Functions

### Lesson: Simplifying Rational Expressions

Example:

Simplify $\dfrac{12x^4}{2x^2}$

• Practice 01
• Practice 02

### Lesson: Multiplying and Dividing Rational Expressions

Example:

Simplify $\dfrac{2}{3} \cdot \dfrac{6x^3}{8}$

• Practice 01
• Practice 02

### Lesson: Dividing Polynomials

Example:

Simplify $\dfrac{10x^4 - 15x}{5x^2}$

• Practice 01
• Practice 02

### Lesson: Adding and Subtracting Rational Expressions

Example:

Simplify $\dfrac{3-x}{x^2+3x-1} + \dfrac{3-x}{x^2+3x-1}$

• Practice 01
• Practice 02

### Lesson: Fractional Equations

Example:

Solve for x: $\dfrac{2}{x} + \dfrac{3}{8} = \dfrac{10}{x}$

• Practice 01
• Practice 02

### Lesson: Solving Rational Equations

Example:

Solve for x: $\dfrac{5}{x^2} - \dfrac{2}{3x} = \dfrac{4}{x}$

• Practice 01
• Practice 02

### Lesson: Inverse Variation

Example:

If $y$ varies inversely with $x$, and $y=15$ when $x=2$, find $x$ when $y$ is $8$

• Practice 01
• Practice 02

### Lesson: Graphing Rational Functions

Example:

Graph $f(x)=\dfrac{1}{x+2}$

• Practice 01
• Practice 02

## XII. Data Analysis and Probability

### Lesson: Matrices

Example:

• What are the dimensions of this matrix?

Example:

### Lesson: Measures of Central Tendency & Dispersion

Example:

James scored a 91 and a 94 on his first two tests. What score must he receive on his third test to maintain a 90 average?

• Practice 01
• Practice 02

Example:

### Lesson: Samples and Surveys

Example:

John is trying to find out how many students in his school prefer math class over english class. He surveys every 5th ninth grader who walks into school. Is this sample biased?

• Practice 01
• Practice 02

### Lesson: Permutations and Combinations

Example:

Evaluate $_3 P _2$

• Practice 01
• Practice 02

### Lesson: Theoretical vs. Experimental Probability

Example:

Joanna rolled a six-sided die. What is the theoretical probability that it will land on an even number?

• Practice 01
• Practice 02

### Lesson: Probability of Compound Events

Example:

Patricia rolled a six-sided die twice. What is the probability that she rolls a 2 and then an odd number?

• Practice 01
• Practice 02

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