Algebra 1 Springboard Homework Help

1: Equations and Inequalities

1.1: Investigating patterns - Cross-Country Adventures

1.1.1: Numeric and Graphic Representations of Data

 Box-and-Whisker Plots
 Correlation
 Stem-and-Leaf Plots

1.1.2: Writing Expressions

 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

1.2: Solving Equations - What's My Number?

1.2.1: Writing and solving Equations

 Absolute Value Equations and Inequalities
 Circles
 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Modeling and Solving Two-Step Equations
 Solving Equations on the Number Line
 Using Algebraic Equations

1.2.2: Equations with Variables on Both Sides

 Point-Slope Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

1.2.3: Solving More Complex Equations

 Point-Slope Form of a Line
 Solving Equations by Graphing Each Side
 Standard Form of a Line

1.2.5: Solving Literal Equations for a Variable

 Area of Triangles
 Solving Formulas for any Variable

1.3: Solving Inequalities - Physical Fitness Zones

1.3.1: Inequalities and Their Solutions

 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Quadratic Inequalities
 Solving Linear Inequalities in One Variable
 Systems of Linear Inequalities (Slope-intercept form)

1.3.2: Solving Inequalities

 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Solving Linear Inequalities in One Variable

1.3.3: Compound Inequalities

 Absolute Value Equations and Inequalities
 Comparing and Ordering Decimals
 Compound Inequalities
 Solving Linear Inequalities in One Variable

1.4: Absolute Value Equations and Inequalities - Student Distances

1.4.1: Absolute Value Equations

 Absolute Value Equations and Inequalities
 Absolute Value with Linear Functions

1.4.2: Absolute Value Inequalities

 Absolute Value Equations and Inequalities
 Compound Inequalities

2: Functions

2.5: Functions and Function Notation - Vending Machines

2.5.1: Relations and Functions

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

2.5.2: Domain and Range

 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Radical Functions

2.6: Interpreting Graphs of Functions - Shake, Rattle and Roll

2.6.1: Key Features of Graphs

 General Form of a Rational Function
 Graphs of Polynomial Functions
 Quadratics in Polynomial Form

2.6.2: More Complex Graphs

 General Form of a Rational Function
 Graphs of Polynomial Functions
 Quadratics in Polynomial Form

2.6.3: Graphs of Real-World Situations

 Quadratics in Polynomial Form

2.7: Graphs of Functions - Experiment Experiences

2.7.1: The Spring Experiment

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Point-Slope Form of a Line
 Quadratics in Polynomial Form
 Standard Form of a Line

2.7.2: The Falling Object Experiment

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Point-Slope Form of a Line
 Quadratics in Polynomial Form
 Standard Form of a Line

2.7.3: The Radioactive Decay Experiment

 Absolute Value with Linear Functions
 Introduction to Exponential Functions
 Point-Slope Form of a Line
 Quadratics in Polynomial Form
 Standard Form of a Line

2.8: Transformations of Functions - Transformers

2.8.1: Exploring f(x)-k

 Exponential Functions
 Introduction to Exponential Functions
 Rational Functions
 Translating and Scaling Functions
 Translations

2.8.2: Exploring f(x + k)

 Exponential Functions
 Introduction to Exponential Functions
 Rational Functions
 Translating and Scaling Functions
 Translations

2.9: Rates of Change - Ramp It Up

2.9.1: Slope

 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

2.9.2: Slope and Rate of Change

 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Slope

2.9.3: More About Slopes

 Cat and Mouse (Modeling with Linear Systems)
 Point-Slope Form of a Line
 Slope
 Slope-Intercept Form of a Line

2.10: Linear Models - Stacking Boxes

2.10.1: Direct Variation

 Direct and Inverse Variation

2.10.2: Indirect Variation

 Direct and Inverse Variation

2.10.3: Another Linear Model

 Absolute Value with Linear Functions
 Arithmetic Sequences
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions
 Simple and Compound Interest
 Slope-Intercept Form of a Line

2.10.4: Inverse Functions

 Function Machines 3 (Functions and Problem Solving)

2.11: Arithmetic Sequences - Picky Patterns

2.11.1: Identifying Arithmetic Sequences

 Arithmetic Sequences
 Arithmetic and Geometric Sequences

2.11.2: A Formula for Arithmetic Sequences

 Arithmetic Sequences

2.11.3: Arithmetic Sequences as Functions

 Arithmetic Sequences
 Arithmetic and Geometric Sequences

2.11.4: Recursive Formulas

 Arithmetic Sequences
 Geometric Sequences

2.12: Forms of Linear Functions - Under Pressure

2.12.1: Slope - Intercept Form

 Points, Lines, and Equations
 Slope-Intercept Form of a Line

2.12.2: Point - Slope Form

 Point-Slope Form of a Line

2.12.3: Standard Form

 Standard Form of a Line

2.12.4: Slopes of Parallel and Perpendicular Lines

 Cat and Mouse (Modeling with Linear Systems)

2.13: Equations from data - Pass the Book

2.13.1: Scatter Plots and Trend Lines

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

2.13.2: Linear Regression

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

3: Extensions of Linear Concepts

3.14: Piecewise-Defined Linear Functions - Breakfast for Bowser

3.14.2: Writing Functions and Finding Domain and Range

 Function Machines 1 (Functions and Tables)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Points, Lines, and Equations
 Radical Functions

3.15: Comparing Equations - A Tale of a Trucker

3.15.1: Writing Equations from Graphs and Tables

 Absolute Value Equations and Inequalities
 Linear Inequalities in Two Variables
 Points, Lines, and Equations
 Quadratics in Polynomial Form
 Solving Equations on the Number Line

3.15.3: Writing Equations from Verbal Descriptions

 Linear Functions
 Solving Equations on the Number Line
 Using Algebraic Equations

3.16: Inequalities in Two Variables - Shared Storage

3.16.1: Writing and Graphing Inequalities in Two Variables

 Linear Inequalities in Two Variables
 Quadratic Inequalities
 Systems of Linear Inequalities (Slope-intercept form)

3.16.2: Graphing Inequalities in Two Variables

 Linear Inequalities in Two Variables
 Quadratic Inequalities
 Systems of Linear Inequalities (Slope-intercept form)

3.17: Solving Systems of Linear Equations - A Tale of Two Truckers

3.17.1: The Graphing Method

 Cat and Mouse (Modeling with Linear Systems)
 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)

3.17.2: Using Tables and the Substitution Method

 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

3.17.3: The Elimination Method

 Solving Linear Systems (Standard Form)

3.17.4: Systems Without a Unique Solution

 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Slope-Intercept Form)
 Solving Linear Systems (Standard Form)

3.17.5: Classifying Systems of Equations

 Solving Equations by Graphing Each Side
 Solving Linear Systems (Matrices and Special Solutions)
 Solving Linear Systems (Standard Form)

3.18: Solving Systems of Linear Inequalities - Which Region is it?

3.18.2: Interpreting the Solution of a System of Inequalities

 Linear Programming
 Systems of Linear Inequalities (Slope-intercept form)

4: Exponents, Radicals, and Polynomials

4.19: Exponent Rules - Icebergs and Exponents

4.19.1: Basic Exponent Properties

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions

4.19.2: Negative and Zero Powers

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions

4.19.3: Additional Properties of Exponents

 Dividing Exponential Expressions
 Exponents and Power Rules
 Multiplying Exponential Expressions

4.20: Operations with Radicals - Go Fly a Kite

4.20.1: Radical Expressions

 Operations with Radical Expressions
 Simplifying Radical Expressions

4.20.2: Adding and Subtracting Radical Expressions

 Operations with Radical Expressions

4.21: Geometric Sequences - Go Viral!

4.21.1: Identifying Geometric Sequences

 Arithmetic and Geometric Sequences
 Geometric Sequences

4.21.2: Formulas for Geometric Sequences

 Geometric Sequences

4.22: Exponential Functions - Protecting Your Investment

4.22.1: Exponential Functions and Exponential Growth

 Exponential Functions
 Introduction to Exponential Functions
 Simple and Compound Interest

4.22.2: Exponential decay

 Simple and Compound Interest

4.22.3: Graphs of Exponential Functions

 Exponential Functions
 Introduction to Exponential Functions
 Simple and Compound Interest

4.23: Modeling with Exponential Functions - Growing, Growing, Gone

4.23.1: Compound Interest

 Simple and Compound Interest

4.23.2: Population Growth

 Simple and Compound Interest

4.24: Adding and Subtracting Polynomials - Polynomials in the Sun

4.24.2: Adding Polynomials

 Addition and Subtraction of Functions
 Addition of Polynomials

4.24.3: Subtracting Polynomials

 Addition and Subtraction of Functions
 Addition of Polynomials

4.25: Multiplying Polynomials - Tri-Com Computers

4.25.3: Multiplying Polynomials

 Modeling the Factorization of x2+bx+c

4.26: Factoring - Factors of Construction

4.26.1: Factoring by Greatest Common Fact (GCF)

 Factoring Special Products

4.26.2: Factoring Special Products

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

4.27: Factoring Trinomials - Deconstruction Floor Plans

4.27.1: Factoring x² + bx + c

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

4.27.2: Factoring ax² + bx + c

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

4.28: Simplifying Rational Expressions - Totally Rational

4.28.2: Dividing Polynomials

 Dividing Polynomials Using Synthetic Division

5: Quadratic Functions

5.29: Introductions to Quadratic Functions - Touchlines

5.29.1: Modeling with Quadratic Functions

 Addition and Subtraction of Functions
 Quadratics in Polynomial Form

5.29.2: Graphing and Analyzing a Quadratic Function

 Addition and Subtraction of Functions
 Exponential Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic
 Translating and Scaling Functions

5.30: Graphing Quadratic Functions - Transformers

5.30.1: Translations of the Quadratic Parent Function

 Translating and Scaling Functions
 Translations

5.30.2: Stretching and Shrinking the Quadratic Parent Function

 Translating and Scaling Functions

5.30.3: Multiple Transformations of the Quadratic Parent Function

 Exponential Functions
 Translating and Scaling Functions
 Translations

5.31: Solving Quadratic Equations by Graphing and Factoring - Trebuchet Trials

5.31.1: Solving by Graphing or Factoring

 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic

5.31.2: The Axis of Symmetry and the Vertex

 Parabolas
 Roots of a Quadratic

5.31.3: Graphing a Quadratic Function

 Addition and Subtraction of Functions
 Exponential Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic
 Translating and Scaling Functions

5.32: Algebraic Methods of Solving Quadratic Equations - Keeping it Quadratic

5.32.1: The Square Root method

 Roots of a Quadratic

5.32.2: Completing the Square

 Circles

5.32.3: The Quadratic Formula

 Roots of a Quadratic

5.32.4: Choosing a Method and using the Discriminate

 Roots of a Quadratic

5.32.5: Complex Solutions

 Roots of a Quadratic

5.34: Modeling with Functions - Photo App

5.34.1: Constructing Models

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions

5.34.2: Comparing Models

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions

5.34.3: Extending Models

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Linear Functions

6: Probability and Statistics

6.36: Measures of Center and Spread - To Text, or Not to Text

6.36.1: Mean, Median, Mode and MAD

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

6.36.2: Another Measure of Variability

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Movie Reviewer (Mean and Median)

6.37: Dot and Box Plots and the Normal Distribution - Disturbing Coyotes

6.37.1: Dots Plots and Box Plots

 Box-and-Whisker Plots
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)

6.37.2: Modified Box Plots

 Box-and-Whisker Plots

6.37.3: Normally Distributed

 Polling: City
 Populations and Samples

6.38: Correlation - What's the Relationship?

6.38.1: Scatter Plots

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

6.38.2: Correlation Coefficient

 Correlation

6.39: The Best-Fit Line - Regressing Linearly

6.39.1: Line of the Best fit

 Correlation
 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

6.39.2: Residuals

 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

6.39.3: Interpreting the Slope and Intercept of the Best-Fit Line

 Solving Using Trend Lines
 Trends in Scatter Plots

6.39.4: Plotting Residuals

 Least-Squares Best Fit Lines
 Solving Using Trend Lines
 Trends in Scatter Plots

Content correlation last revised: 2/16/2016

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Algebra 1 Help

Click your Algebra 1 textbook below for homework help. Our answers explain actual Algebra 1 textbook homework problems. Each answer shows how to solve a textbook problem, one step at a time.

Algebra 1

Glencoe/McGraw-Hill

Holliday, et al.

 

Algebra 1

Holt McDougal Littell

Larson, et al

 

Algebra 1

McDougal Littell

Larson, et al

 

Algebra 1

McDougal Littell

Larson, Boswell, Kanold, Stiff

 

Algebra 1

Prentice Hall

Smith, Charles, Dossey, Bittinger

 

Algebra

Scott Foresman Addison Wesley

University of Chicago

 

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