algebra 2 lesson 1 homework

Algebra 2 Worksheets with answer keys

Enjoy these free printable math worksheets . Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

Absolute Value Equations
Simplify Imaginary Numbers
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers
Dividing Complex Numbers
Dividing Complex Number (advanced)
End of Unit, Review Sheet
Exponential Growth (no answer key on this one, sorry)
Compound Interest Worksheet #1 (no logs)
Compound Interest Worksheet (logarithms required)
Simplify Rational Exponents
Solve Equations with Rational Exponents
Solve Equations with variables in Exponents
Factor by Grouping
1 to 1 functions
Evaluating Functions
Composition of Functions
Inverse Functions
Operations with Functions
Functions Review Worksheet
Product Rule of Logarithms
Power Rule of Logarithms
Quotient Rule of Logarithms
Logarithmic Equations Worksheet
Dividing Polynomials Worksheet
Solve Quadratic Equations by Factoring
Solve Quadratic Equations by Completing the Square
Quadratic Formula Worksheets
Quadratic formula Worksheet (real solutions)
Quadratic Formula Worksheet (complex solutions)
Quadratic Formula Worksheet (both real and complex solutions)
Discriminant Worksheet
Sum and Product of Roots
Radical Equations
Rationalizing the Denominator
Simplify Rational Expressions Worksheet
Dividing Rational Expressions
Multiplying Rational Expressions
Adding and Subtracting Rational Expressions (with like denominators)
Adding and Subtracting Ratioal Expressions with Unlike Denominators
Mixed Review on Rational Expressions

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Algebra 2 Help | Free Algebra 2 Lessons & Practice Problems

Algebra 2: 01-expressions, equations, and inequalities, algebra 2: 02-functions, equations, and graphs, algebra 2: 03-linear systems, algebra 2: 04-quadratic functions and equations, algebra 2: 05-polynomials and polynomial functions, algebra 2: 06-radical functions and rational exponents, algebra 2: 07-exponential and logarithmic functions, algebra 2: 08-rational functions, algebra 2: 09-sequences and series, algebra 2: 10-quadratic relations and conic sections, algebra 2: 11-probability, algebra 2: 12-matrices, algebra 2: 13-periodic functions and trigonometry, algebra 2: 14-trigonometric identities and equations, i. expressions, equations, and inequalities, patterns and expressions.

Example: What is the next number in the pattern: 3, 6, 9, 12, _ ?

Practice 01

Lesson: Properties of Real Numbers

$3(2x-5y)+1=6x-15y+1$

Lesson: Algebraic Expressions

Example: Which algebraic expression models the phrase “10 less than a number m”?

Solving Equations

$x$

Solving Inequalities

Example: Write the inequality that represents “3 less than a number is greater than 5”

Absolute Value Equations and Inequalities

$|-x|=12$

II. Functions, Equations, and Graphs

Relations and functions.

$f(x)=x^2 -3x -2$

Direct Variation

$y$

Linear Functions and Slope-Intercept Form

Example: Find the slope of the line passing through the points (2,4) and (4,-2)

More About Linear Equations

Example: Write the equation of the line with a slope of 3 that goes through the point (5,0).

Using Linear Models

Example: Can the values 2, 4, 6, 8, 10 be modeled by a linear function?

Families of Functions

$y=x$

Absolute Value Functions and Graphs

$|4x-1|=15$

Two Variable Inequalities

$y \textless 3x-1$

III. Linear Systems

Lesson: solving systems of equations using tables and graphs.

$y=3x-1$

Solving Systems Algebraically

$3x-4y=-3$

Lesson: System of Inequalities

$y \textless 2x-1$

Linear Programming

$P=2x+4y$

Systems with Three Variables

$3x-2y+z=0$

Solving Systems Using Matrices

$3x-2y=9$

IV. Quadratic Functions and Equations

Quadratic functions and transformations.

$y=3(x-2)^2 +3$

Standard Form of a Quadratic Equation

$y=x^2-5x-24$

Modeling with Quadratic Functions

$y=-(x-4)^2$

Lesson: Factoring Quadratic Expressions

$x^2 - 5x -36$

Lesson: Quadratic Equations

$x^2 +15 +50$

Lesson: Completing the Square

$y=x^2 -12x -14 = 9$

The Quadratic Formula

$x^2+2x+14=0$

Complex Numbers

$\sqrt{-25}$

Lesson: Quadratic Systems

$y=2x-1$

V. Polynomials and Polynomial Functions

Polynomial functions.

$3x^5 -2x+1$

Polynomials, Linear Factors, and Zeros

$x^3 -x^2 -12x$

Solving Polynomial Equations

$x^3 -8 =0$

Lesson: Dividing Polynomials

$\dfrac{x^2+20+44}{x-2}$

Rational Root Theorem

$f(x)=x^3 -2x^2 +12x -1$

The Fundamental Theorem of Algebra

$x^4 +x^3 +4x^2 -8x +25=0$

The Binomial Theorem

$(3x-2y)^3$

Polynomial Models in the Real World

$f(x)=x^3 -7x^2 +4$

Transforming Polynomial Functions

$y=x^3$

VI. Radical Functions and Rational Exponents

Roots and radical expressions.

Example: What values are square roots of 25?

Lesson: Multiplying and Dividing Radical Expressions

$\sqrt{288} \times \sqrt{4}$

Binomial Radical Expressions

$\sqrt{50} + \sqrt{8}$

Rational Expressions

$(27x^6)^{\frac{1}{3}}$

Lesson: Solving Square Root and Other Rational Expressions

$\sqrt{x-2} +12 = 14$

Function Operations

$(f-g)(x)$

Inverse Relations and Functions

$f(x)=\dfrac{3x-5}{2} -3$

Lesson: Graphing Radical Functions

$y=\sqrt{3x}$

VII. Exponential and Logarithmic Functions

Exploring exponential models.

$y=3(0.6)^x$

Properties of Exponential Models

$y=4^x$

Logarithmic Functions as Inverses

$y=2+4^x$

Properties of Logarithms

$log_3 (x\sqrt{y} - z)$

Exponenital and Logarithmic Equations

$3^x -1.8 = 5.2$

Natural Logarithms

$ln 4$

VIII. Rational Funtions

Lesson: inverse variation.

$x=4$

The Reciprocal Family Functions

$y=\dfrac{2}{x}$

Lesson: Rational Functions and their Graphs

$y=\sqrt{x-1}$

Lesson: Adding and Subtracting Rational Expressions

$\dfrac{3x}{2x^2} + \dfrac{3+x}{x}$

Lesson: Solving Rational Equations

$\dfrac{1}{2x^2} = \dfrac{3}{x} + \dfrac{5}{2}$

IX. Sequences and Series

Mathematical patterns.

Example: Continue the pattern with the next three values: 4, 12, 36, 108, …

Arithmetic Sequences

Example: What is the explicit formula for the sequence 12, 15, 18, 21, …?

Geometric Sequences

Example: What is the explicit formula for the sequence 2, -6, 18, -54, …?

Arithmetic Series

Example: What is the sum of the series 32, 43, 54, 65, 76?

Geometric Series

Example: What is the sum of the series -3 -6 -12 -24 …, n=6?

X. Quadratic Relations and Conic Sections

Exploring conic sections.

$4x^2 +36y^2 = 16$

Translating Conic Sections

Example: Write the standard form equation of an ellipse with vertices at (-2,3) and (5,3), and a focus at (2,3)

XI. Probability and Statistics

Lesson: permutation and combinations.

$_7 P _2$

Lesson: Probability

Example: Bob flipped heads 6 out of 8 times. What is the experimental probability that he flips tails on his next coin toss?

Lesson: Probability of Multiple Events

$\dfrac{3}{10}$

Conditional Probability

Example: If the freshman students are 45% male and 55% female, and 86% of the males passed this semester while 89% of the females did, what is the probability that a student is male who failed this semester?

Probability Models

Example: The weather channel tells you that there is a 30% chance of rain on each of the next three days. What is the chance that it does not rain on all three days?

Analyzing Data

Example: What is the median of {28 26, 40, 37, 39, 29, 31, 33, 33, 33, 31, 36}?

Standard Deviations

Example: What is the standard deviation of {28 26, 40, 37, 39, 29, 31, 33, 33, 33, 31, 36}?

Lesson: Samples and Surveys

Example: If a principal wants to conduct a survey to determine which subject is the favorite in his school, so he samples the physics class to get results, is this a biased sample?

Binomial Distributions

$(2x-y)^5$

Normal Distributions

Example: What percent of data is in the interval from 45 to 50 in a data set with a mean of 55 and a standard deviation of 5?

XII. Matrices

Lesson: adding and subtracting matrices.

$\begin{bmatrix} 4 & 1 & -8 & -2 \\ \end{bmatrix} + \begin{bmatrix} 3 & 6 & -5 & -1 \\ \end{bmatrix}$

Lesson: Matrix Multiplication

$6 \begin{bmatrix} 1 & 3 & 0 & -9 \\ \end{bmatrix}$

Determinants and Inverses

$\begin{vmatrix} 4 & -2\\ 8 & -6\\ \end{vmatrix}$

Inverse Matrices and Systems

$4x-2y=12$

Geometric Transformations

$\begin{bmatrix} -3 & -2 & -1 \\ 5 & -3 & -3 \\ \end{bmatrix}$

Example: If a vector starts at the point (2, 3) and extends to (4, 6), what is its component form?

XIII. Periodic Functions and Trigonometry

Exploring periodic data.

$y=2 \sin{x}$

Angles and the Unit Circle

Example: If an angle extends outwards from the x-axis and touches the x-axis on the other side, what is the degree measure of the angle formed?

Radian Measures

Example: What is 50 degrees in terms of radians?

The Sine Function

$y=3 \sin{4x}$

The Cosine Function

$y= 2 \cos{2x}$

The Tangent Function

$y= 4 \tan{x}$

Translating Sine and Cosine Functions

$y= 5 \sin{3x} -3$

Reciprocal Trigonometric Functions

$\csc{\dfrac{2\pi}{3}}$

XIV. Trigonometric Identities and Equations

Trigonometric identities.

$\sin ^2 \theta + \cos ^2 \theta$

Solving Trigonometric Equations Using Inverses

$\theta$

Right Triangles and Trigonometric Ratios

$\tan 30 \textdegree$

Area and Law of Sines

$\triangle ABC$

The Law of Cosines

$a=5$

Angle Identities

$\sin 75\textdegree$

Double-Angle and Half-Angle Identities

$\sin 2\theta$

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The purpose and intended use of the Algebra 1 Supports Course.

Students who struggle in Algebra 1 are more likely to struggle in subsequent math courses and experience more adverse outcomes. The Algebra 1 Extra Support Materials are designed to help students who need additional support in their Algebra 1 course. Each Algebra 1 Extra Support Materials lesson is associated with a lesson in the Algebra 1 course. The intention is that students experience each Algebra 1 Extra Support Materials lesson before its associated Algebra 1 lesson. The Algebra 1 Extra Support Materials lesson helps students learn or remember a skill or concept that is needed to access and find success with the associated Algebra 1 lesson.

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Screencast Tutorials

Alg2.1 Sequences and Functions

This unit provides an opportunity to revisit representations of functions (including graphs, tables, and expressions) at the beginning of the Algebra 2 course, and also introduces the concept of sequences. Through many concrete examples, students learn to identify geometric and arithmetic sequences. Beginning with an invitation to describe sequences informally, students progress to writing terms of sequences arising from mathematical situations, using representations such as tables and graphs. They progress to using function notation to define sequences recursively and then explicitly for the $n^{\text{th}}$ term. Throughout the unit, students learn that sequences are functions and that geometric and arithmetic sequences are examples of the exponential and linear functions they learned about in previous courses, defined on a subset of the integers. In the last part of the unit, students use sequences to model several situations represented in different ways. Finally, students encounter some situations where it makes sense to compute the sum of a finite sequence. A formula for such a sum is developed in a future unit.

A Towering Sequence

1 A Towering Sequence
2 Introducing Geometric Sequences
3 Different Types of Sequences
4 Using Technology to Work with Sequences
5 Sequences are Functions
6 Representing Sequences
7 Representing More Sequences

What’s the Equation?

8 The $n^{\text{th}}$ Term
9 What’s the Equation?
10 Situations and Sequence Types
11 Adding Up

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Home > CCA2 > Chapter 1 > Lesson 1.1.2

Lesson 1.1.1, lesson 1.1.2, lesson 1.1.3, lesson 1.1.4, lesson 1.2.1, lesson 1.2.2, lesson 1.2.3, lesson 1.2.4.

IMAGES

Common Core Algebra 2: Unit 1, Lesson 1
Unit 2 Lesson 1 Practice Problems
Algebra 2 Homework Worksheets / Review Worksheets by The Engineer
Algebra 2 Homework Worksheets / Review Worksheets by The Engineer
Algebra 2 Practice Worksheet
Algebra 2 Module 1 Lesson 1 Video

COMMENTS

Algebra 2, Volume 1
Our resource for Algebra 2, Volume 1 includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. Find step-by-step solutions and answers to Algebra 2 ...
Algebra 2
Algebra 2 Online Lessons & Videos Algebra 2 Lesson and Worksheet PDFs Course Syllabus--- Chapter 1 Lessons ---1.1 Real Numbers 1.2 Simplifying Algebraic Expressions & Equations ... 5.1 Day 2 Homework: Pg 303: Problem Set 4-8, 11, 135.1 Day 3 Homework: Pg 311: Problem Set 1-4, 6, 85.2 Homework:
Algebra 2: Homework Practice Workbook
Our resource for Algebra 2: Homework Practice Workbook includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. Find step-by-step solutions and answers ...
Algebra 2 Common Core Edition
Spiral Review. Exercise 1. Exercise 2. Exercise 3. Exercise 4. Exercise 5. Exercise 6. Exercise 7. Find step-by-step solutions and answers to Algebra 2 Common Core Edition - 9780076639908, as well as thousands of textbooks so you can move forward with confidence.
Common Core Algebra II
Common Core Algebra II. Rated 5.00 out of 5 based on 9 customer ratings. View Reviews. The full experience and value of eMATHinstruction courses are achieved when units and lessons are followed in order. Students learn skills in earlier units that they will then build upon later in the course.
Algebra 2 Common Core
Find step-by-step solutions and answers to Algebra 2 Common Core - 9780133186024, as well as thousands of textbooks so you can move forward with confidence. ... Section 1-2: Properties of Real Numbers. Section 1-3: Algebraic Expressions. Page 25: Mid-Chapter Quiz. Section 1-4: Solving Equations. Section 1-5: Solving Inequalities. Section 1-6 ...
Algebra 2 Worksheets (pdf) with answer keys
Multiplying Complex Numbers. Dividing Complex Numbers. Dividing Complex Number (advanced) End of Unit, Review Sheet. Exponential Growth (no answer key on this one, sorry) Compound Interest Worksheet #1 (no logs) Compound Interest Worksheet (logarithms required) Exponent Worksheets. Simplify Rational Exponents.
Algebra 1: Homework Practice Workbook
Our resource for Algebra 1: Homework Practice Workbook includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems, you can take the guesswork out of studying and move forward with confidence. About us. About Quizlet.
Algebra 2
2.2 Homework: "Find the equation of the lines below, in standard form."Pg 73 Problem Set: 11, 13. "Find the equation of the line, given the information" Problem #1 reads "Passes through (4, 7) and is parallel to x - y = -5" Pg 76 Problem Set: 1, 3, 6. "Find the equation of the line, give the information" Problem #5 reads "Passes thorugh (0, 6 ...
Unit 5
Common Core Algebra II; Algebra 2 + Trigonometry; Standards Alignment; Shop. N-Gen Math™ 6; N-Gen Math™ 7; N-Gen Math™ 8; N-Gen Math™ Algebra I; N-Gen Math™ Geometry; ... LESSON/HOMEWORK. LESSON VIDEO. ANSWER KEY. EDITABLE LESSON. EDITABLE KEY. Unit Review Unit 5 Review - Sequences and Series UNIT REVIEW. ANSWER KEY.
Unit 11
Assessment. Unit 11 Mid-Unit Quiz (through Lesson 5) - Form B. ASSESSMENT. ANSWER KEY. EDITABLE ASSESSMENT. EDITABLE KEY.
Algebra 2 Help
Example: Find the slope of the line passing through the points (2,4) and (4,-2) Practice 01; More About Linear Equations. Example: Write the equation of the line with a slope of 3 that goes through the point (5,0). Practice 01; Using Linear Models. Example: Can the values 2, 4, 6, 8, 10 be modeled by a linear function? Practice 01; Families of ...
Illustrative Mathematics Algebra 1, Geometry, Algebra 2
IM Algebra 1, Geometry, and Algebra 2 are problem-based core curricula rooted in content and practice standards to foster learning and achievement for all. Students learn by doing math, solving problems in mathematical and real-world contexts, and constructing arguments using precise language. Teachers can shift their instruction and facilitate ...
Unit 6
Assessment. Unit 6 - Mid-Unit Quiz (Through Lesson #6) - Form D. ASSESSMENT. ANSWER KEY. EDITABLE ASSESSMENT. EDITABLE KEY.
CPM Homework Help : CCA2
CPM Education Program proudly works to offer more and better math education to more students.
enVision Algebra 2
Find step-by-step solutions and answers to enVision Algebra 2 - 9780328931590, as well as thousands of textbooks so you can move forward with confidence. ... Now, with expert-verified solutions from enVision Algebra 2 1st Edition, you'll learn how to solve your toughest homework problems. Our resource for enVision Algebra 2 includes answers ...
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Illustrative Mathematics Algebra 2, Unit 1
Alg2.1 Sequences and Functions. This unit provides an opportunity to revisit representations of functions (including graphs, tables, and expressions) at the beginning of the Algebra 2 course, and also introduces the concept of sequences. Through many concrete examples, students learn to identify geometric and arithmetic sequences.
Khan Academy
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Unit 3
Lesson 7. Systems of Linear Equations (Primarily 3 by 3) LESSON/HOMEWORK. LESSON VIDEO. ANSWER KEY. EDITABLE LESSON. EDITABLE KEY.
Homepage
Common Core Algebra II; Algebra 2 + Trigonometry; For Teachers. Select a course to view FREE lessons, homework sets, and lesson videos. Free Spanish translations are available for most courses. Each course is divided into units and then lessons within each unit. Select a unit and your desired lesson.
Algebra 2, Volume 2
Now, with expert-verified solutions from Algebra 2, Volume 2 1st Edition, you'll learn how to solve your toughest homework problems. Our resource for Algebra 2, Volume 2 includes answers to chapter exercises, as well as detailed information to walk you through the process step by step. With Expert Solutions for thousands of practice problems ...
CPM Homework Help : CCA2 Lesson 1.1.2
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