college algebra 1 1 homework

Practice Test

For the following exercises, identify the number as rational, irrational, whole, or natural. Choose the most descriptive answer.

For the following exercises, evaluate the expression.

2 ( x + 3 ) − 12 ; x = 2 2 ( x + 3 ) − 12 ; x = 2

y ( 3 + 3 ) 2 − 26 ; y = 1 y ( 3 + 3 ) 2 − 26 ; y = 1

Write the number in standard notation: 3.1415 × 10 6 3.1415 × 10 6

Write the number in scientific notation: 0.0000000212.

For the following exercises, simplify the expression.

−2 ⋅ ( 2 + 3 ⋅ 2 ) 2 + 144 −2 ⋅ ( 2 + 3 ⋅ 2 ) 2 + 144

4 ( x + 3 ) − ( 6 x + 2 ) 4 ( x + 3 ) − ( 6 x + 2 )

3 5 ⋅ 3 −3 3 5 ⋅ 3 −3

( 2 3 ) 3 ( 2 3 ) 3

8 x 3 ( 2 x ) 2 8 x 3 ( 2 x ) 2

( 16 y 0 ) 2 y −2 ( 16 y 0 ) 2 y −2

9 x 16 9 x 16

121 b 2 1 + b 121 b 2 1 + b

6 24 + 7 54 − 12 6 6 24 + 7 54 − 12 6

−8 3 625 4 −8 3 625 4

( 13 q 3 + 2 q 2 − 3 ) − ( 6 q 2 + 5 q − 3 ) ( 13 q 3 + 2 q 2 − 3 ) − ( 6 q 2 + 5 q − 3 )

( 6 p 2 + 2 p + 1 ) + ( 9 p 2 −1 ) ( 6 p 2 + 2 p + 1 ) + ( 9 p 2 −1 )

( n − 2 ) ( n 2 − 4 n + 4 ) ( n − 2 ) ( n 2 − 4 n + 4 )

( a − 2 b ) ( 2 a + b ) ( a − 2 b ) ( 2 a + b )

For the following exercises, factor the polynomial.

16 x 2 − 81 16 x 2 − 81

y 2 + 12 y + 36 y 2 + 12 y + 36

27 c 3 − 1331 27 c 3 − 1331

3 x ( x − 6 ) − 1 4 + 2 ( x − 6 ) 3 4 3 x ( x − 6 ) − 1 4 + 2 ( x − 6 ) 3 4

2 z 2 + 7 z + 3 z 2 − 9 ⋅ 4 z 2 − 15 z + 9 4 z 2 − 1 2 z 2 + 7 z + 3 z 2 − 9 ⋅ 4 z 2 − 15 z + 9 4 z 2 − 1

x y + 2 x x y + 2 x

a 2 b − 2 b 9 a 3 a − 2 b 6 a a 2 b − 2 b 9 a 3 a − 2 b 6 a

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Access for free at https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites

• Authors: Jay Abramson
• Publisher/website: OpenStax
• Book title: College Algebra
• Publication date: Feb 13, 2015
• Location: Houston, Texas
• Book URL: https://openstax.org/books/college-algebra/pages/1-introduction-to-prerequisites
• Section URL: https://openstax.org/books/college-algebra/pages/1-practice-test

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Free Printable Math Worksheets for Algebra 1

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• Writing variable expressions
• Order of operations
• Evaluating expressions
• Number sets
• Adding rational numbers
• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers
• The distributive property
• Combining like terms
• Percent of change
• One-step equations
• Two-step equations
• Multi-step equations
• Absolute value equations
• Solving proportions
• Percent problems
• Distance-rate-time word problems
• Mixture word problems
• Work word problems
• Literal Equations
• Graphing one-variable inequalities
• One-step inequalities
• Two-step inequalities
• Multi-step inequalities
• Compound inequalities
• Absolute value inequalities
• Discrete relations
• Continuous relations
• Evaluating and graphing functions
• Finding slope from a graph
• Finding slope from two points
• Finding slope from an equation
• Graphing lines using slope-intercept form
• Graphing lines using standard form
• Writing linear equations
• Graphing linear inequalities
• Graphing absolute value equations
• Direct variation
• Solving systems of equations by graphing
• Solving systems of equations by elimination
• Solving systems of equations by substitution
• Systems of equations word problems
• Graphing systems of inequalities
• Discrete exponential growth and decay word problems
• Exponential functions and graphs
• Writing numbers in scientific notation
• Operations with scientific notation
• Addition and subtraction with scientific notation
• Naming polynomials
• Adding and subtracting polynomials
• Multiplying polynomials
• Multiplying special case polynomials
• Factoring special case polynomials
• Factoring by grouping
• Dividing polynomials
• Graphing quadratic inequalities
• Completing the square
• By taking square roots
• By factoring
• With the quadratic formula
• By completing the square
• Simplifying radicals
• Adding and subtracting radical expressions
• Multiplying radicals
• Dividing radicals
• Using the distance formula
• Using the midpoint formula
• Simplifying rational expressions
• Finding excluded values / restricted values
• Multiplying rational expressions
• Dividing rational expressions
• Adding and subtracting rational expressions
• Finding trig. ratios
• Finding angles of triangles
• Finding side lengths of triangles
• Visualizing data
• Center and spread of data
• Scatter plots
• Using statistical models

College Algebra

Table of Contents

Course contents.

• About This Course
• Course Contents at a Glance
• Learning Outcomes

Faculty Resources

• Faculty Resources Overview
• PowerPoints
• OHM Assessments
• I Need Help
• Additional Resources

Module 1: Algebra Essentials

• Entering Answers for Practice Problems
• Why It Matters: Algebra Essentials
• Real Numbers
• Exponents and Scientific Notation
• Radicals and Rational Exponents
• Putting It Together: Algebra Essentials

Module 2: Polynomial and Rational Expressions

• Why It Matters: Polynomial and Rational Expressions
• Polynomial Basics
• Factoring Polynomials
• Rational Expressions
• Putting It Together: Polynomial and Rational Expressions

Module 3: The Rectangular Coordinate System and Equations of Lines

• Why It Matters: The Rectangular Coordinate System and Equations of Lines
• Points and Lines in the Plane
• Equations of Lines
• Putting It Together: The Rectangular Coordinate System and Equations of Lines

Module 4: Equations and Inequalities

• Why It Matters: Equations and Inequalities
• Models and Applications
• Quadratic Equations
• Equation-Solving Techniques
• Linear Inequalities and Absolute Value Inequalities
• Putting It Together: Equations and Inequalities

Module 5: Function Basics

• Why It Matters: Function Basics
• Characteristics of Functions and Their Graphs
• Domain and Range of Functions
• Rates of Change and Behavior of Graphs
• Putting It Together: Function Basics

Module 6: Algebraic Operations on Functions

• Why It Matters: Algebraic Operations On Functions
• Compositions of Functions
• Transformations of Functions
• Inverse Functions
• Putting It Together: Algebraic Operations on Functions

Module 7: Linear and Absolute Value Functions

• Why It Matters: Linear and Absolute Value Functions
• Linear Functions
• Graphing and Writing Equations of Linear Functions
• Modeling With Linear Functions
• Putting It Together: Linear and Absolute Value Functions

Module 8: Quadratic Functions

• Why It Matters: Quadratic Functions
• Complex Numbers
• Graphs of Quadratic Functions
• Analysis of Quadratic Functions
• Putting It Together: Quadratic Functions

Module 9: Power and Polynomial Functions

• Why It Matters: Power and Polynomial Functions
• Characteristics of Power and Polynomial Functions
• Graphs of Polynomial Functions
• Dividing Polynomials
• Methods for Finding Zeros of Polynomials
• Putting It Together: Power and Polynomial Functions

Module 10: Rational and Radical Functions

• Why It Matters: Rational And Radical Functions
• Rational Functions
• Radical Functions
• Putting It Together: Rational and Radical Functions

Module 11: Exponential and Logarithmic Functions

• Why It Matters: Exponential and Logarithmic Functions
• Exponential Functions
• Graphs of Exponential Functions
• Logarithmic Functions
• Graphs of Logarithmic Functions
• Putting It Together: Exponential and Logarithmic Functions

Module 12: Exponential and Logarithmic Equations and Models

• Why It Matters: Exponential and Logarithmic Equations and Models
• Properties of Logarithms
• Exponential and Logarithmic Equations
• Exponential and Logarithmic Models
• Putting It Together: Exponential and Logarithmic Equations and Models

Module 13: Systems of Equations and Inequalities

• Why It Matters: Systems of Equations and Inequalities
• Systems of Linear Equations: Two Variables
• Systems of Nonlinear Equations and Inequalities
• Systems of Linear Equations: Three Variables
• Partial Fractions: an Application of Systems
• Putting It Together: Systems of Equations and Inequalities

Module 14: Solve Systems With Matrices

• Why It Matters: Solving Systems with Matrices
• Matrices and Matrix Operations
• Gaussian Elimination
• Solving Systems with Inverses
• Putting It Together: Solving Systems with Matrices

Module 15: Conic Sections

• Why It Matters: Conic Sections
• The Ellipse
• The Hyperbola
• The Parabola
• Putting It Together: Conic Sections

Module 16: Sequences and Series

• Why It Matters: Sequences and Series
• Sequences and Their Notations
• Arithmetic Sequences
• Geometric Sequences
• Series and Their Notations
• Putting It Together: Sequences and Series

Module 17: Probability and Counting Principles

• Why It Matters: Probability and Counting Principles
• Counting Principles
• Probability
• Putting It Together: Probability and Counting Principles

This courseware includes resources copyrighted and openly licensed by multiple individuals and organizations. Click the words "Licenses and Attributions" at the bottom of each page for copyright and licensing information specific to the material on that page. If you believe that this courseware violates your copyright, please contact us .

Cover Image: "Triangles on a sphere." Authored by: Ronald Yang. Provided by: Unsplash. Located at: https://unsplash.com/photos/xagqOinFSu4 . Content Type: Public Domain Content. License: CC0: No Rights Reserved .

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Algebra Worksheets

Free worksheets with answer keys.

Enjoy these free printable sheets . 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.

• Distance Formula
• Equation of Circle
• Factor Trinomials Worksheet
• Domain and Range
• Mixed Problems on Writing Equations of Lines
• Slope Intercept Form Worksheet
• Standard Form Worksheet
• Point Slope Worksheet
• Write Equation of Line from the Slope and 1 Point
• Write Equation of Line from Two Points
• Equation of Line Parallel to Another Line and Through a Point
• Equation of Line Perpendicular to Another Line and Through a Point
• Slope of a Line
• Perpendicular Bisector of Segment
• Write Equation of Line Mixed Review
• Word Problems
• Multiplying Monomials Worksheet
• Multiplying and Dividing Monomials Sheet
• Adding and Subtracting Polynomials Worksheet
• Multiplying Monomials with Polynomials Worksheet
• Multiplying Binomials Worksheet
• Multiplying Polynomials
• Simplifying Polynomials
• Factoring Trinomials
• Operations with Polynomials Worksheet
• Dividing Radicals
• Simplify Radicals Worksheet
• Adding Radicals
• Mulitplying Radicals Worksheet
• Radicals Review (Mixed review worksheet on radicals and square roots)
• Solve Systems of Equations Graphically
• Solve Systems of Equations by Elimination
• Solve by Substitution
• Solve Systems of Equations (Mixed review)
• Activity on Systems of Equations (Create an advertisement for your favorite method to Solve Systems of Equations )
• Real World Connections (Compare cell phone plans)
• Scientific Notation
• Operations with Scientific Notation

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

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College Algebra (11th Edition)

By lial, margaret l.; hornsby john; schneider, david i.; daniels, callie, chapter 1 - section 1.2 - applications and modeling with linear equations - 1.2 exercises - page 93: 14, work step by step, update this answer.

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