Algebra 1

Bryan Marquis, mark vasicek, 11 Jul 2018

Table of Contents

  1. Chapter 1
    1. Writing Linear Equations (Given 2 Points)
    2. Writing Linear Equations (Given Graph)
    3. Writing Linear Equation (Given Both Intercepts)
    4. Multiplying Binomials
    5. Solving Quadratic Equations Using Quadratic Formula (Quiz)
  2. Chapter 2
    1. 2-2 through 2-4 Review: Linear Equation Generator
    2. Perimeter of a Rectangle: Solving Linear Equations
    3. Simplifying Linear Expressions
    4. Quiz: Simplifying Algebraic Expressions
  3. Chapter 3 and 4; Linear Equations
    1. Slope; Graphing Slope
    2. Slope; Finding Slope from a Line
    3. Slope; Using the Slope Formula
    4. Slope Intercept Form; Graphing
    5. Slope Intercept Form; Writing Equation
    6. Slope-Intercept Form; Rewriting Standard Form
    7. Point Slope Form; Given point and slope
    8. Point Slope Form; Given two points
    9. Quiz: Modeling with Linear Functions
    10. Blueprint Equation of a Line (I)
    11. Quiz: Application Problems - Writing Linear Equations Given 2 Points
    12. Writing Equations of Parallel and Perpendicular Lines
    13. Slope-Section 2.3
  4. Chapter 5 Inequalities
    1. Quick Inequality Question Generator
    2. Graphing Basic Inequalities: 1 Variable (Quiz)
    3. Linear Inequality Generator (1A)
    4. Linear Inequality Generator (II)
    5. Linear Inequalities of 2 Variables: Illustrator
    6. Graphing Linear Inequalities with 2 Variables (Quiz)
    7. Inequalities in Standard Form (Illustrator)
    8. Graphing Linear Inequalities Written in Standard Form (Quiz)
    9. Solutions to Linear Inequalities
    10. Solving Linear Inequalities
  5. Chapter 6 Systems of Linear Equations and Inequalities
    1. Solving a system of equations-Section 3.1-3.2 in College Alg
    2. Systems of Linear Equations
    3. Modeling Linear Growth (and Systems Introduction)
    4. Systems of Linear Equations
    5. Copy of Where might systems come from?
    6. Solving Linear Systems Graphically
    7. Solving Linear Systems by Graphing: Quiz (V1)
    8. Solving Linear Systems by Graphing: REVAMPED
    9. Solving Linear Systems Algebraically: Quiz (V1)
    10. Solving Linear Systems Algebraically: Quiz (V2)
    11. Solving Linear Systems Algebraically: Quiz (V3)
  6. Chapter 7 Exponents and Exponential Functions
    1. Multiply Binomials
    2. Law of exponents
    3. Simplify Expressions with Exponents-Section 4.2
    4. Fractional Exponents-Section 4.3
    5. Simplify Expressions with Exponents, More Difficult-Section 1.4
  7. Chapter 8 Quadratic Expressions and Equations
    1. Factoring Quadratics
  8. Chapter 9 Graphing Quadratics
  9. Chapter 10 Radical Functions and Trig
  10. Chapter 11 Rational Functions and Equations
    1. Section 8.4-Polynomials

1.

Chapter 1

  • 1. Writing Linear Equations (Given 2 Points)
  • 2. Writing Linear Equations (Given Graph)
  • 3. Writing Linear Equation (Given Both Intercepts)
  • 4. Multiplying Binomials
  • 5. Solving Quadratic Equations Using Quadratic Formula (Quiz)

1.1.

Writing Linear Equations (Given 2 Points)

[color=#cc0000][b]Note to Instructors: [/b][/color][br][br]This applet generates problems where the y-intercept IS an integer. [br]For practice questions that generate problems where the y-intercept is NOT an integer, [url=https://www.geogebra.org/m/wJf6MEFg]click here[/url]. [br][br][color=#0000ff][b][url=https://docs.google.com/document/d/11_7DXsigTNPXZ4oLSnOsXzMQywioxsFDm8SmVa7Z6Uo/edit?usp=sharing]Link to a Blank Worksheet Template[/url][/b][/color][br][br][color=#cc0000][b]Students: [/b][/color] [br][br]1) Determine the equation of the line that passes through the 2 indicated points.[br]2) Type this equation into the input box provided. (Be sure to type [color=#1e84cc][b]EXACT VALUES[/b][/color] of parameters!) [br]3) If your equation is correct, you'll see a big "CORRECT!" sign appear. [br]4) Click the "New Problem" button to generate a new problem.[br][br]5) [color=#0000ff][b]Repeat steps (1) - (4) as many times as you need in order to master this concept! [/b][/color]
– Bryan Marquis, Tim Brzezinski

1.2.

–

1.3.

–

1.4.

–

1.5.

–

2.

Chapter 2

  • 1. 2-2 through 2-4 Review: Linear Equation Generator
  • 2. Perimeter of a Rectangle: Solving Linear Equations
  • 3. Simplifying Linear Expressions
  • 4. Quiz: Simplifying Algebraic Expressions

2.1.

2-2 through 2-4 Review: Linear Equation Generator

[color=#000000]Start by moving the difficulty level all the way to the left. [br] This is the first difficulty level and will give you two step equations. [br]By moving the slider to the 2nd and 3rd level you will multi step equations similar to section 2-4.[br][br]Only after you have mastered the first 3 levels should you move onto the 4th level. The 4th level questions are designed to be challenging and will encompass all of the concepts that we have covered up until this point. [br][br][br]On a separate sheet of paper, Solve each linear equation that appears on the screen. [br][/color][b][color=#ff00ff]If any value(s) you enter are correct, the applet will automatically indicate this to you. [br][/color][/b][color=#0000ff][b][i]Practice this skill as much as you need in order to master this concept! [br][/i][/b][/color][color=#000000]There are 4 difficulty levels here (see slider at bottom.) [br][/color]
– Bryan Marquis, Tim Brzezinski

2.2.

–

2.3.

–

2.4.

–

3.

Chapter 3 and 4; Linear Equations

  • 1. Slope; Graphing Slope
  • 2. Slope; Finding Slope from a Line
  • 3. Slope; Using the Slope Formula
  • 4. Slope Intercept Form; Graphing
  • 5. Slope Intercept Form; Writing Equation
  • 6. Slope-Intercept Form; Rewriting Standard Form
  • 7. Point Slope Form; Given point and slope
  • 8. Point Slope Form; Given two points
  • 9. Quiz: Modeling with Linear Functions
  • 10. Blueprint Equation of a Line (I)
  • 11. Quiz: Application Problems - Writing Linear Equations Given 2 Points
  • 12. Writing Equations of Parallel and Perpendicular Lines
  • 13. Slope-Section 2.3

3.1.

Slope; Graphing Slope

[color=#ff00ff][b]Directions:[/b][/color][br][br]1) In the applet below, [color=#ff00ff][b]note the slope displayed. [/b][/color][br]2) Drag one (or both) of the white points to move the line [b][color=#ff00ff]so that this line has the slope that's displayed.[/color] [br][/b]3) If you do step (2) correctly, you'll see a big [color=#ff00ff][b]"CORRECT!"[/b][/color] sign appear.[br]4) Generate as many practice problems as you need in order to master this concept! [br]
– Bryan Marquis, Tim Brzezinski

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

3.8.

–

3.9.

–

3.10.

–

3.11.

–

3.12.

–

3.13.

–

4.

Chapter 5 Inequalities

  • 1. Quick Inequality Question Generator
  • 2. Graphing Basic Inequalities: 1 Variable (Quiz)
  • 3. Linear Inequality Generator (1A)
  • 4. Linear Inequality Generator (II)
  • 5. Linear Inequalities of 2 Variables: Illustrator
  • 6. Graphing Linear Inequalities with 2 Variables (Quiz)
  • 7. Inequalities in Standard Form (Illustrator)
  • 8. Graphing Linear Inequalities Written in Standard Form (Quiz)
  • 9. Solutions to Linear Inequalities
  • 10. Solving Linear Inequalities

4.1.

Quick Inequality Question Generator

– Tim Brzezinski

4.2.

–

4.3.

–

4.4.

–

4.5.

–

4.6.

–

4.7.

–

4.8.

–

4.9.

–

4.10.

–

5.

Chapter 6 Systems of Linear Equations and Inequalities

  • 1. Solving a system of equations-Section 3.1-3.2 in College Alg
  • 2. Systems of Linear Equations
  • 3. Modeling Linear Growth (and Systems Introduction)
  • 4. Systems of Linear Equations
  • 5. Copy of Where might systems come from?
  • 6. Solving Linear Systems Graphically
  • 7. Solving Linear Systems by Graphing: Quiz (V1)
  • 8. Solving Linear Systems by Graphing: REVAMPED
  • 9. Solving Linear Systems Algebraically: Quiz (V1)
  • 10. Solving Linear Systems Algebraically: Quiz (V2)
  • 11. Solving Linear Systems Algebraically: Quiz (V3)

5.1.

Solving a system of equations-Section 3.1-3.2 in College Alg

Solving a system of equations.[br][br]For video on this topic see[br][url]https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/solving-linear-systems-by-substitution[/url][br]or [url]http://patrickjmt.com/solving-a-linear-system-of-equations-by-graphing/[/url][br]or [url]http://patrickjmt.com/solving-a-linear-system-of-equations-using-substitution/[/url][br]or[url] http://patrickjmt.com/solving-a-linear-system-of-equations-using-elimination-by-addition/[/url]
– Kevin Hopkins

5.2.

–

5.3.

–

5.4.

–

5.5.

–

5.6.

–

5.7.

–

5.8.

–

5.9.

–

5.10.

–

5.11.

–

6.

Chapter 7 Exponents and Exponential Functions

  • 1. Multiply Binomials
  • 2. Law of exponents
  • 3. Simplify Expressions with Exponents-Section 4.2
  • 4. Fractional Exponents-Section 4.3
  • 5. Simplify Expressions with Exponents, More Difficult-Section 1.4

6.1.

Multiply Binomials

Multiply binomials. For video explanation, see https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/multiplying-binomials/v/multiplying-binomials
– Kevin Hopkins

6.2.

–

6.3.

–

6.4.

–

6.5.

–

7.

Chapter 8 Quadratic Expressions and Equations

  • 1. Factoring Quadratics

7.1.

Factoring Quadratics

Factoring Quadratics.[br][br]For video explaining this more see[br]https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-quadratic-expressions/v/factoring-quadratic-expressions
– Kevin Hopkins

8.

Chapter 9 Graphing Quadratics


    This chapter does not contain any resources yet.

9.

Chapter 10 Radical Functions and Trig


    This chapter does not contain any resources yet.

10.

Chapter 11 Rational Functions and Equations

  • 1. Section 8.4-Polynomials

10.1.

Section 8.4-Polynomials

Factoring and Roots of a Polynomial
– Kevin Hopkins

Information