Intermediate Algebra: Functions & Authentic Applications with Integrated Review, 6th edition
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Overview
With Intermediate Algebra, you'll use reallife data sets to find models and derive equations that fit the scenario at hand. By learning math concepts through data, and through extensive practice opportunities in the text, you'll deepen your understanding of concepts and find new meaning in math.
Published by Pearson (July 14th 2021)  Copyright © 2019
ISBN13: 9780137530465
Subject: Developmental Math
Category: Intermediate Algebra
Table of contents
1. Linear Equations and Linear Functions
1.R
 Interpret variables given a context.
 Plot points in a coordinate system.
 Add real numbers.
 Subtract real numbers.
 Multiply and divide real numbers.
 Exponents and Order of Operations
 Round decimals to any given place.
 Simplify fractions.
 Find the least common multiple using multiples of the largest number.
 Perform operations with fractions.
 Use the rules for order of operations to evaluate expressions.
 Use the commutative, associative, and distributive laws to simplify expressions
 Simplify expressions by combining like terms.
 Solve linear equations in one variable.
 Solve linear equations by combining the addition and multiplication properties of equality.
 Substitute values into a formula and solve for the remaining variable.
 Solve formulas for a specified variable.
1.1 Using Qualitative Graphs to Describe Situations
1.2 Graphing Linear Equations
1.3 Slope of a Line
1.4 Meaning of Slope for Equations, Graphs, and Tables
1.5 Finding Linear Equations
1.6 Functions
2. Modeling With Linear Functions
2.R
 Interpret variables given a context.
 Determine a variable name for a given quantity.
 Use a number line to describe numbers.
 Solve applications involving number lines and averages.
 Round decimals to any given place.
 Use the rules for order of operations to evaluate expressions.
 Solve linear equations by combining the addition and multiplication properties of equality.
 Find the equation of a line given two points.
 Exponents and Order of Operations
 Calculate expressions that have exponents.
2.1 Using Lines to Model Data
2.2 Finding Equations of Linear Models
2.3 Function Notation and Making Predictions
2.4 Slope Is a Rate of Change
Taking It to the Lab: Climate Change Lab • UsedCar Lab • Golf Ball Lab • Walking Student Lab • Linear Lab: Topic of Your Choice
3. Systems of Linear Equations and Systems of Linear Inequalities
3.R
 Find the least common multiple using multiples of the largest number.
 Solve linear equations by combining the addition and multiplication properties of equality.
 Use the slope and yintercept to graph an equation.
 Determine if ordered pairs satisfy equations in two variables.
 Find the equation of a line given two points.
 Find an equation of a linear model by using data displayed in a table.
 Solve applications involving rate of change.
 Convert between percentages and decimals.
 Determine whether an inequality is true or false.
 Graph an inequality.
3.1 Using Graphs and Tables to Solve Systems
3.2 Using Substitution and Elimination to Solve Systems
3.3 Using Systems to Model Data
3.4 Value, Interest, and Mixture Problems
3.5 Using Linear Inequalities in One Variable to Make Predictions
3.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities
Taking It to the Lab: Climate Change Lab (continued from Chapter 2) • Sports Lab • Truck Lab
4. Exponential Functions
4.R
 Find the least common multiple using multiples of the largest number.
 Perform operations with fractions.
 Calculate expressions that have exponents.
 Convert between percentages and decimals.
 Solve applications involving percentages.
 Use function notation to evaluate functions.
 Use the graph of a function to determine its domain and range.
4.1 Properties of Exponents
4.2 Rational Exponents
4.3 Graphing Exponential Functions
4.4 Finding Equations of Exponential Functions
4.5 Using Exponential Functions to Model Data
Taking It to the Lab: Stringed Instrument Lab • Cooling Water Lab • Exponential Lab: Topic of Your Choice
5. Logarithmic Functions
5.R
 Use function notation to evaluate functions.
 Solve formulas for a specified variable.
 Find the equation of a line given two points.
 Find an equation of a linear model by using data displayed in a table.
 Rewrite expressions in radical form and exponential form.
 Use the properties of exponents to simplify expressions.
 Find equations of exponential models using data displayed in a table or graph.
 Model halflife situations and make estimates and predictions.
5.1 Composite Functions
5.2 Inverse Functions
5.3 Logarithmic Functions
5.4 Properties of Logarithms
5.5 Using the Power Property with Exponential Models to Make Predictions
5.6 More Properties of Logarithms
5.7 Natural Logarithm
Taking It to the Lab: China and India Populations Lab • Folding Paper Lab • Exponential/Logarithmic Lab: Topic of Your Choice
6. Polynomial Functions
6.R
 Use the rules for order of operations to evaluate expressions.
 Use function notation to evaluate functions.
 Do long division.
 Find the prime factorization of a number.
6.1 Adding and Subtracting Polynomial Expressions and Functions
6.2 Multiplying Polynomial Expressions and Functions
6.3 Dividing Polynomials: Long Division and Synthetic Division
6.4 Factoring Trinomials of the Form x^{2} + bx + c; Factoring Out the GCF
6.5 Factoring Polynomials
6.6 Factoring Special Binomials; A Factoring Strategy
6.7 Using Factoring to Solve Polynomial Equations
Taking It to the Lab: Climate Change Lab (continued from Chapter 3) • Projectile Lab
7. Quadratic Functions
7.R
 Use the rules for order of operations to evaluate expressions.
 Use function notation to evaluate functions.
 Use the graph of a function to determine its domain and range.
 Find principal square roots.
 Apply the product property for square roots.
 Simplify radical quotients.
 Factor a trinomial of the form x^2+bx+c.
 Use factoring to solve quadratic equations in one variable.
 Use elimination to solve a system of two linear equations.
7.1 Graphing Quadratic Functions in Vertex Form
7.2 Graphing Quadratic Functions in Standard Form
7.3 Using the Square Root Property to Solve Quadratic Equations
7.4 Solving Quadratic Equations by Completing the Square
7.5 Using the Quadratic Formula to Solve Quadratic Equations
7.6 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions
7.7 Finding Quadratic Models
7.8 Modeling with Quadratic Functions
Taking It to the Lab: Climate Change Lab (continued from Chapter 6) • Projectile Lab (continued from Chapter 6) • Projectile Lab (Using a CBR or CBL) • Water Flow Lab • Quadratic Lab: Topic of Your Choice
8. Rational Functions
8.R
 Simplify fractions.
 Find an equation of a linear model by using data displayed in a table.
 Solve applications that involve finding a function that models the situation.
 Use function notation to evaluate functions.
 Find the prime factorization of a number.
 Find the least common multiple using prime factorization.
 Perform operations with fractions.
 Apply a factoring strategy.
 Use factoring to solve quadratic equations in one variable.
 Solve quadratic equations by using the quadratic formula.
8.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions
8.2 Multiplying and Dividing Rational Expressions; Converting Units
8.3 Adding and Subtracting Rational Expressions
8.4 Simplifying Complex Rational Expressions
8.5 Solving Rational Equations
8.6 Modeling with Rational Functions
8.7 Variation
Taking It to the Lab: Climate Change Lab (continued from Chapter 7) • Illumination Lab • Boyle's Law Lab
9. Radical Functions
9.R
 Find principal square roots.
 Apply the product property for square roots.
 Find the power of a monomial.
 Simplify the square of a binomial.
 Find the product of two binomial conjugates.
 Use the graph of a function to determine its domain and range.
 Use factoring to solve quadratic equations in one variable.
 Solve quadratic equations by using the quadratic formula.
 Use elimination to solve a system of two linear equations.
9.1 Simplifying Radical Expressions
9.2 Adding, Subtracting, and Multiplying Radical Expressions
9.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions
9.4 Graphing and Combining Square Root Functions
9.5 Solving Radical Equations
9.6 Modeling with Square Root Functions
Taking It to the Lab: Pendulum Lab
10. Sequences and Series
10.R
 Use the slope addition property to find a linear equation.
 Use the base multiplier property to find exponential equations.
 Solve exponential equations.
10.1 Arithmetic Sequences
10.2 Geometric Sequences
10.3 Arithmetic Series
10.4 Geometric Series
Taking It to the Lab: Bouncing Ball Lab • Stacked Cups Lab
11. Additional Topics
11.R
 Find the absolute value of a number.
 Solve a linear inequality.
 Simplify expressions with square roots.
 Use the quadratic formula to find complexnumber solutions of quadratic equations.
 Use the slope and yintercept to graph an equation.
 Use factoring to solve quadratic equations in one variable.
 Use elimination to solve a system of two linear equations.
 Use substitution to solve a system of two linear equations.
11.1 Absolute Value: Equations and Inequalities
11.2 Performing Operations with Complex Numbers
11.3 Pythagorean Theorem, Distance Formula, and Circles
11.4 Ellipses and Hyperbolas
11.5 Solving Nonlinear Systems of Equations
Appendix A: Reviewing the Prerequisite Material
Appendix B: Using a TI83 or TI 84 Graphing Calculator
Appendix C: Using StatCrunch
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