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College Algebra
College Algebra
10th Edition
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College Algebra
10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781337282291
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Solutions for College Algebra
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Chapter
P Prerequisites
1 Equations, Inequalities, And Mathematical Modeling
2 Functions And Their Graphs
3 Polynomial Functions
4 Rational Functions And Conics
5 Exponential And Logarithmic Functions
6 Systems Of Equations And Inequalities
7 Matrices And Determinants
8 Sequences, Series,and Probability
A Errors And The Algebra Of Calculus
Section
P.1 Review Of Real Numbers And Their Properties
P.2 Exponents And Radicals
P.3 Polynomials And Special Products
P.4 Factoring Polynomials
P.5 Rational Expressions
P.6 The Rectangular Coordinate System And Graphs
Chapter Questions
Problem 1ECP:
Repeat Example 1 for the set ,14,63,122,7.5,1,8,22.
Problem 2ECP:
Plot the real numbers on the real number line. a.52b.1.6 c.34d.0.7
Problem 3ECP:
Place the appropriate inequality symbol or between the pair of real numbers. a.1,5b.32,7c.23,34
Problem 4ECP:
Describe the subset of real numbers that the inequality represents. a.x3b.0x4
Problem 5ECP:
Give a verbal description of the interval 2,5.
Problem 6ECP:
Use inequality notation to represent the statement “x is less than 4 and at least 2.”
Problem 7ECP:
Evaluate each expression. a. 1 b. 34 c. 23 d. 0.7
Problem 8ECP:
Evaluate x+3x+3 for (a) x3 and (b) x3 .
Problem 9ECP:
Place the appropriate symbol ,,or= between the pair of real numbers. a. 34 b. 44 c. 33
Problem 10ECP:
a. Find the distance between 35 and 23 . b. Find the distance between 35 and 23 . c. Find the...
Problem 11ECP:
Identify the terms and coefficients of 2x+4 .
Problem 12ECP:
Evaluate 4x5 when x=0 .
Problem 13ECP:
Identify the rule of algebra illustrated by the statement. a. x+9=9+x b. 5x32=5x32 c....
Problem 14ECP:
a. Multiply fractions: 35x6 b. Add fractions: .
Problem 1E:
Fill in the blanks. The decimal representation of an number neither terminates nor repeats.
Problem 2E:
Fill in the blanks. The point representing 0 on the real number line is the .
Problem 3E:
Fill in the blanks. The distance between the origin and a point representing a real number on the...
Problem 4E:
Fill in the blanks. A number that can be written as the product of two or more prime numbers is a ...
Problem 5E:
Fill in the blanks. The of an algebraic expression are those parts that are separated by addition.
Problem 6E:
Fill in the blanks. The states that if ab=0, then a=0 or b=0.
Problem 7E:
Classifying Real Numbers In Exercises 7-10, determine which numbers in the set are (a) natural...
Problem 8E:
Classifying Real Numbers In Exercises 7-10, determine which numbers in the set are (a) natural...
Problem 9E:
Classifying Real Numbers In Exercises 7-10, determine which numbers in the set are (a) natural...
Problem 10E:
Classifying Real Numbers In Exercises 7-10, determine which numbers in the set are (a) natural...
Problem 11E:
Plotting Points on the Real Number Line In Exercises 11 and 12, plot the real numbers on the real...
Problem 12E:
Plotting Points on the Real Number Line In Exercises 11 and 12, plot the real numbers on the real...
Problem 13E:
Plotting and Ordering Real Numbers In Exercises 13-16, plot the two real numbers on the real number...
Problem 14E:
Plotting and Ordering Real Numbers In Exercises 13-16, plot the two real numbers on the real number...
Problem 15E:
Plotting and Ordering Real Numbers In Exercises 13-16, plot the two real numbers on the real number...
Problem 16E:
Plotting and Ordering Real Numbers In Exercises 13-16, plot the two real numbers on the real number...
Problem 17E:
Interpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the...
Problem 18E:
Interpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the...
Problem 19E:
Interpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the...
Problem 20E:
Interpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the...
Problem 21E:
Interpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the...
Problem 22E:
Interpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the...
Problem 23E:
Interpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the...
Problem 24E:
Interpreting an Inequality or an Interval In Exercises 17-24, (a) give a verbal description of the...
Problem 25E:
Using Inequality and Interval Notation In Exercises 25-28, use inequality notation and interval...
Problem 26E:
Using Inequality and Interval Notation In Exercises 25-28, use inequality notation and interval...
Problem 27E:
Using Inequality and Interval Notation In Exercises 25-28, use inequality notation and interval...
Problem 28E:
Using Inequality and Interval Notation In Exercises 25-28, use inequality notation and interval...
Problem 29E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. 10
Problem 30E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. 0
Problem 31E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. 38
Problem 32E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. 62
Problem 33E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. 12
Problem 34E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. 33
Problem 35E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. 55
Problem 36E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. 44
Problem 37E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. x+2x+2,x2
Problem 38E:
Evaluating an Absolute Value Expression In Exercises 29-38, evaluate the expression. x1x1,x1
Problem 39E:
Comparing Real Numbers In Exercises 39-42, place the appropriate symbol (,,or=) between the pair of...
Problem 40E:
Comparing Real Numbers In Exercises 39-42, place the appropriate symbol ,,or= between the pair of...
Problem 41E:
Comparing Real Numbers In Exercises 39-42, place the appropriate symbol (,,or=) between the pair of...
Problem 42E:
Comparing Real Numbers In Exercises 39-42, place the appropriate symbol (,,or=) between the pair of...
Problem 43E:
Finding a Distance In Exercises 43-46, find the distance between a and b. a=126,b=75
Problem 44E:
Finding a Distance In Exercises 43-46, find the distance between a and b. a=20,b=30
Problem 45E:
Finding a Distance In Exercises 43-46, find the distance between a and b. a=52,b=0
Problem 46E:
Finding a Distance In Exercises 43-46, find the distance between a and b. a=14,b=114
Problem 47E:
Using Absolute Value Notation In Exercises 47 and 48, use absolute value notation to represent the...
Problem 48E:
Using Absolute Value Notation In Exercises 47 and 48, use absolute value notation to represent the...
Problem 49E:
In Exercises 49-52, use the bar graph, which shows the receipts of the federal government (in...
Problem 50E:
In Exercises 49-52, use the bar graph, which shows the receipts of the federal government (in...
Problem 51E:
In Exercises 49-52, use the bar graph, which shows the receipts of the federal government (in...
Problem 52E:
In Exercises 49-52, use the bar graph, which shows the receipts of the federal government (in...
Problem 53E:
Identifying Terms and Coefficients In Exercises 53-58, identify the terms. Then identify the...
Problem 54E:
Identifying Terms and Coefficients In Exercises 53-58, identify the terms. Then identify the...
Problem 55E:
Identifying Terms and Coefficients In Exercises 53-58, identify the terms. Then identify the...
Problem 56E:
Identifying Terms and Coefficients In Exercises 53-58, identify the terms. Then identify the...
Problem 57E:
Identifying Terms and Coefficients In Exercises 53-58, identify the terms. Then identify the...
Problem 58E:
Identifying Terms and Coefficients In Exercises 53-58, identify the terms. Then identify the...
Problem 59E:
Evaluating an Algebraic Expression In Exercises 59-64, evaluate the expression for each value of x....
Problem 60E:
Evaluating an Algebraic Expression In Exercises 59-64, evaluate the expression for each value of x....
Problem 61E:
Evaluating an Algebraic Expression In Exercises 59-64, evaluate the expression for each value of x....
Problem 62E:
Evaluating an Algebraic Expression In Exercises 59-64, evaluate the expression for each value of x....
Problem 63E:
Evaluating an Algebraic Expression In Exercises 59-64, evaluate the expression for each value of x....
Problem 64E:
Evaluating an Algebraic Expression In Exercises 59-64, evaluate the expression for each value of x....
Problem 65E:
Identifying Rules of Algebra In Exercises 65-68, identify the rule(s) of algebra illustrated by the...
Problem 66E:
Identifying Rules of Algebra In Exercises 65-68, identify the rule(s) of algebra illustrated by the...
Problem 67E:
Identifying Rules of Algebra In Exercises 65-68, identify the rule(s) of algebra illustrated by the...
Problem 68E:
Identifying Rules of Algebra In Exercises 65-68, identify the rule(s) of algebra illustrated by the...
Problem 69E:
Operations with Fractions In Exercises 69-72, perform the operation. (Write fractional answers in...
Problem 70E:
Operations with Fractions In Exercises 69-72, perform the operation. (Write fractional answers in...
Problem 71E:
Operations with Fractions In Exercises 69-72, perform the operation. (Write fractional answers in...
Problem 72E:
Operations with Fractions In Exercises 69-72, perform the operation. (Write fractional answers in...
Problem 73E:
True or False? In Exercises 73-75, determine whether the statement is true or false. Justify your...
Problem 74E:
True or False? In Exercises 73-75, determine whether the statement is true or false. Justify your...
Problem 75E:
True or False? In Exercises 73 -75, determine whether the statement is true or false. Justify your...
Problem 76E:
HOW DO YOU SEE IT? Match each description with its graph. Which types of real numbers shown in...
Problem 77E:
Conjecture a Use a calculator to complete the table. b Use the result from part a to make a...
Browse All Chapters of This Textbook
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Chapter P - Prerequisites
Chapter P.1 - Review Of Real Numbers And Their Properties
Chapter P.2 - Exponents And Radicals
Chapter P.3 - Polynomials And Special Products
Chapter P.4 - Factoring Polynomials
Chapter P.5 - Rational Expressions
Chapter P.6 - The Rectangular Coordinate System And Graphs
Chapter 1 - Equations, Inequalities, And Mathematical Modeling
Chapter 1.1 - Graphs Of Equations
Chapter 1.2 - Linear Equations In One Variable
Chapter 1.3 - Modeling With Linear Equations
Chapter 1.4 - Quadratic Equations And Applications
Chapter 1.5 - Complex Numbers
Chapter 1.6 - Other Types Of Equations
Chapter 1.7 - Linear Inequalities In One Variable
Chapter 1.8 - Other Types Of Inequalities
Chapter 2 - Functions And Their Graphs
Chapter 2.1 - Linear Equations In Two Variables
Chapter 2.2 - Functions
Chapter 2.3 - Analyzing Graphs Of Functions
Chapter 2.4 - A Library Of Parent Functions
Chapter 2.5 - Transformations Of Functions
Chapter 2.6 - Combinations Of Functions: Composite Functions
Chapter 2.7 - Inverse Functions
Chapter 3 - Polynomial Functions
Chapter 3.1 - Quadratic Functions And Models
Chapter 3.2 - Polynomial Functions Of Higher Degree
Chapter 3.3 - Polynomial And Synthetic Division
Chapter 3.4 - Zeros Of Polynomial Functions
Chapter 3.5 - Mathematical Modeling And Variation
Chapter 4 - Rational Functions And Conics
Chapter 4.1 - Rational Functions And Asymptotes
Chapter 4.2 - Graphs Of Rational Functions
Chapter 4.3 - Conics
Chapter 4.4 - Translations Of Conics
Chapter 5 - Exponential And Logarithmic Functions
Chapter 5.1 - Exponential Functions And Their Graphs
Chapter 5.2 - Logarithmic Functions And Their Graphs
Chapter 5.3 - Properties Of Logarithms
Chapter 5.4 - Exponential And Logarithmic Equations
Chapter 5.5 - Exponential And Logarithmic Models
Chapter 6 - Systems Of Equations And Inequalities
Chapter 6.1 - Linear And Nonlinear Systems Of Equations
Chapter 6.2 - Two-variable Linear Systems
Chapter 6.3 - Multivariable Linear Systems
Chapter 6.4 - Partial Fractions
Chapter 6.5 - Systems Of Inequalities
Chapter 6.6 - Linear Programming
Chapter 7 - Matrices And Determinants
Chapter 7.1 - Matrices And Systems Of Equations
Chapter 7.2 - Operations With Matrices
Chapter 7.3 - The Inverse Of A Square Matrix
Chapter 7.4 - The Determinant Of A Square Matrix
Chapter 7.5 - Applications Of Matrices And Determinants
Chapter 8 - Sequences, Series,and Probability
Chapter 8.1 - Sequences And Series
Chapter 8.2 - Arithmetic Sequences And Partial Sums
Chapter 8.3 - Geometric Sequences And Series
Chapter 8.4 - Mathematical Induction
Chapter 8.5 - The Binomial Theorem
Chapter 8.6 - Counting Principles
Chapter 8.7 - Probability
Chapter A - Errors And The Algebra Of Calculus
Sample Solutions for this Textbook
We offer sample solutions for College Algebra homework problems. See examples below:
Classifying Real Numbers In Exercises 1 and 2, determine which numbers in the set are (a) natural...
Sketching the Graph of an Equation In Exercises 1 and 2, construct a table of values that consists...
Graphing a Linear Equation In Exercises 1-4, find the slope and y-intercept (if possible) of the...
Sketching Graphs of Quadratic Functions In Exercises 1 and 2, sketch the graph of each quadratic...
Finding the Domain of a Rational Function In Exercises 1-4, Find the domain of the function and...
Evaluating an Exponential Function In Exercises 1-6, evaluate the function at the given value of x....
Solving a System by Substitution In Exercises 1-10, solve the system by the method of substitution....
Dimension of a Matrix: In Exercises 1-4, determine the dimension of the matrix. 13
Exercises 1-4, write the first five terms of the sequence. (Assume that n begins with 1.) an=3+12n
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