Precalculus (MindTap Course List)
Precalculus (MindTap Course List)
10th Edition
ISBN: 9781337271073
Author: Ron Larson
Publisher: Cengage Learning
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Chapter A.2, Problem 24E
To determine

(a)

To simplify:

The expression of 7x2x3.

To determine

(b)

To find:

The expression of 12(x+y)39(x+y).

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Chapter A Solutions

Precalculus (MindTap Course List)

Ch. A.1 - Checkpoint Repeat Example 1 for the set...Ch. A.1 - Checkpoint Plot the real numbers on the real...Ch. A.1 - Prob. 3CPCh. A.1 - Prob. 4CPCh. A.1 - Prob. 5CPCh. A.1 - Prob. 6CPCh. A.1 - Prob. 7CPCh. A.1 - Prob. 8CPCh. A.1 - Prob. 9CPCh. A.1 - Prob. 10CP
Ch. A.1 - Prob. 11CPCh. A.1 - Prob. 12CPCh. A.1 - Prob. 13CPCh. A.1 - Prob. 14CPCh. A.1 - Vocabulary: Fill in the blanks. The decimal...Ch. A.1 - Prob. 2ECh. A.1 - Prob. 3ECh. A.1 - Prob. 4ECh. A.1 - Prob. 5ECh. A.1 - Prob. 6ECh. A.1 - Prob. 7ECh. A.1 - Prob. 8ECh. A.1 - Prob. 9ECh. A.1 - Prob. 10ECh. A.1 - Prob. 11ECh. A.1 - Prob. 12ECh. A.1 - Prob. 13ECh. A.1 - Prob. 14ECh. A.1 - Prob. 15ECh. A.1 - Prob. 16ECh. A.1 - Skills and Applications Interpreting an Inequality...Ch. A.1 - Skills and Applications Interpreting an Inequality...Ch. A.1 - Prob. 19ECh. A.1 - Prob. 20ECh. A.1 - Prob. 21ECh. A.1 - Prob. 22ECh. A.1 - Prob. 23ECh. A.1 - Prob. 24ECh. A.1 - Skills and Applications Using Inequality or an...Ch. A.1 - Skills and Applications Using Inequality or an...Ch. A.1 - Prob. 27ECh. A.1 - Prob. 28ECh. A.1 - Prob. 29ECh. A.1 - Prob. 30ECh. A.1 - Prob. 31ECh. A.1 - Prob. 32ECh. A.1 - Prob. 33ECh. A.1 - Prob. 34ECh. A.1 - Prob. 35ECh. A.1 - Prob. 36ECh. A.1 - Prob. 37ECh. 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A.2 - Prob. 5CPCh. A.2 - Prob. 6CPCh. A.2 - Prob. 7CPCh. A.2 - Prob. 8CPCh. A.2 - Prob. 9CPCh. A.2 - Simplify each radical expression. a. 32 b. 2503 c....Ch. A.2 - Prob. 11CPCh. A.2 - Prob. 12CPCh. A.2 - Prob. 13CPCh. A.2 - Prob. 14CPCh. A.2 - Prob. 15CPCh. A.2 - Prob. 16CPCh. A.2 - Prob. 17CPCh. A.2 - Prob. 1ECh. A.2 - Prob. 2ECh. A.2 - Prob. 3ECh. A.2 - Prob. 4ECh. A.2 - Prob. 5ECh. A.2 - Fill in the blanks The expressions a+bm and abm...Ch. A.2 - Prob. 7ECh. A.2 - Prob. 8ECh. A.2 - Prob. 9ECh. A.2 - Skills and Applications Evaluating Exponential...Ch. A.2 - Prob. 11ECh. A.2 - Prob. 12ECh. A.2 - Prob. 13ECh. A.2 - Prob. 14ECh. A.2 - Prob. 15ECh. A.2 - Prob. 16ECh. A.2 - Prob. 17ECh. A.2 - Prob. 18ECh. A.2 - Prob. 19ECh. A.2 - Prob. 20ECh. A.2 - Prob. 21ECh. A.2 - Prob. 22ECh. A.2 - Prob. 23ECh. A.2 - Prob. 24ECh. A.2 - Prob. 25ECh. A.2 - Prob. 26ECh. A.2 - Prob. 27ECh. A.2 - Prob. 28ECh. A.2 - Prob. 29ECh. A.2 - Prob. 30ECh. A.2 - Prob. 31ECh. A.2 - Prob. 32ECh. A.2 - Prob. 33ECh. A.2 - Decimal Notation In Exercises 33-36, write the...Ch. A.2 - Prob. 35ECh. A.2 - Prob. 36ECh. A.2 - Prob. 37ECh. A.2 - Prob. 38ECh. A.2 - Prob. 39ECh. A.2 - Prob. 40ECh. A.2 - Prob. 41ECh. A.2 - Prob. 42ECh. A.2 - Prob. 43ECh. A.2 - Prob. 44ECh. A.2 - Prob. 45ECh. A.2 - Prob. 46ECh. A.2 - Prob. 47ECh. A.2 - Prob. 48ECh. A.2 - Prob. 49ECh. A.2 - Prob. 50ECh. A.2 - Prob. 51ECh. A.2 - Prob. 52ECh. A.2 - Prob. 53ECh. A.2 - Prob. 54ECh. A.2 - Prob. 55ECh. A.2 - Prob. 56ECh. A.2 - Prob. 57ECh. A.2 - Prob. 58ECh. A.2 - Prob. 59ECh. A.2 - Prob. 60ECh. A.2 - Prob. 61ECh. A.2 - Prob. 62ECh. A.2 - Prob. 63ECh. A.2 - Prob. 64ECh. A.2 - Prob. 65ECh. A.2 - Prob. 66ECh. A.2 - Prob. 67ECh. A.2 - Prob. 68ECh. A.2 - Prob. 69ECh. A.2 - Prob. 70ECh. A.2 - Prob. 71ECh. A.2 - Prob. 72ECh. A.2 - Prob. 73ECh. A.2 - Prob. 74ECh. A.3 - Prob. 1CPCh. A.3 - Prob. 2CPCh. A.3 - Prob. 3CPCh. A.3 - Prob. 4CPCh. A.3 - Prob. 5CPCh. A.3 - Prob. 6CPCh. A.3 - Prob. 7CPCh. A.3 - Prob. 8CPCh. A.3 - Prob. 9CPCh. A.3 - Prob. 10CPCh. A.3 - Prob. 11CPCh. A.3 - Prob. 12CPCh. A.3 - Prob. 13CPCh. A.3 - Prob. 14CPCh. A.3 - Prob. 1ECh. A.3 - Prob. 2ECh. A.3 - Prob. 3ECh. A.3 - Prob. 4ECh. A.3 - Prob. 5ECh. A.3 - Prob. 6ECh. A.3 - Prob. 7ECh. A.3 - Prob. 8ECh. A.3 - Prob. 9ECh. A.3 - Prob. 10ECh. A.3 - Prob. 11ECh. A.3 - Prob. 12ECh. A.3 - Prob. 13ECh. A.3 - Prob. 14ECh. A.3 - Prob. 15ECh. A.3 - Prob. 16ECh. A.3 - Prob. 17ECh. A.3 - Prob. 18ECh. A.3 - Prob. 19ECh. A.3 - Prob. 20ECh. A.3 - Prob. 21ECh. A.3 - Prob. 22ECh. A.3 - Prob. 23ECh. A.3 - Prob. 24ECh. A.3 - Prob. 25ECh. A.3 - Prob. 26ECh. A.3 - Prob. 27ECh. A.3 - Prob. 28ECh. A.3 - Prob. 29ECh. A.3 - Prob. 30ECh. A.3 - Prob. 31ECh. A.3 - Prob. 32ECh. A.3 - Prob. 33ECh. A.3 - Prob. 34ECh. A.3 - Prob. 35ECh. A.3 - Prob. 36ECh. A.3 - Prob. 37ECh. A.3 - Prob. 38ECh. A.3 - Prob. 39ECh. A.3 - Prob. 40ECh. A.3 - Prob. 41ECh. A.3 - Prob. 42ECh. A.3 - Prob. 43ECh. A.3 - Prob. 44ECh. A.3 - Prob. 45ECh. A.3 - Prob. 46ECh. A.3 - Prob. 47ECh. A.3 - Prob. 48ECh. A.3 - Prob. 49ECh. A.3 - Prob. 50ECh. A.3 - Prob. 51ECh. A.3 - Prob. 52ECh. A.3 - Prob. 53ECh. A.3 - Prob. 54ECh. A.3 - Prob. 55ECh. A.3 - Prob. 56ECh. A.3 - Prob. 57ECh. A.3 - Prob. 58ECh. A.3 - Prob. 59ECh. A.3 - Prob. 60ECh. A.3 - Prob. 61ECh. A.3 - Prob. 62ECh. A.3 - Prob. 63ECh. A.3 - Prob. 64ECh. A.3 - Prob. 65ECh. A.3 - Prob. 66ECh. A.3 - Prob. 67ECh. A.3 - Prob. 68ECh. A.3 - Prob. 69ECh. A.3 - Prob. 70ECh. A.3 - Prob. 71ECh. A.3 - Prob. 72ECh. A.3 - Prob. 73ECh. A.3 - Prob. 74ECh. A.3 - Prob. 75ECh. A.3 - Prob. 76ECh. A.3 - Prob. 77ECh. A.3 - Prob. 78ECh. A.3 - Factoring Completely In Exercises 73-82,...Ch. A.3 - Prob. 80ECh. A.3 - Prob. 81ECh. A.3 - Prob. 82ECh. A.3 - Prob. 83ECh. A.3 - Prob. 84ECh. A.3 - Prob. 85ECh. A.3 - Prob. 86ECh. A.3 - True or False In Exercises 85-87, determine...Ch. A.3 - Prob. 88ECh. A.3 - Prob. 89ECh. A.3 - Prob. 90ECh. A.3 - Prob. 91ECh. A.3 - Prob. 92ECh. A.3 - Prob. 93ECh. A.3 - Prob. 94ECh. A.3 - Prob. 95ECh. A.3 - Prob. 96ECh. A.4 - Prob. 1CPCh. A.4 - Prob. 2CPCh. A.4 - Prob. 3CPCh. A.4 - Prob. 4CPCh. A.4 - Prob. 5CPCh. A.4 - Prob. 6CPCh. A.4 - Prob. 7CPCh. A.4 - Prob. 8CPCh. A.4 - Prob. 9CPCh. A.4 - Prob. 10CPCh. A.4 - Prob. 11CPCh. A.4 - A.4 Exercises Vocabulary: Fill in the blanks. The...Ch. A.4 - A.4 Exercises Vocabulary: Fill in the blanks. The...Ch. A.4 - Prob. 3ECh. A.4 - Prob. 4ECh. A.4 - Prob. 5ECh. A.4 - Prob. 6ECh. A.4 - Prob. 7ECh. A.4 - Prob. 8ECh. A.4 - Prob. 9ECh. A.4 - Prob. 10ECh. A.4 - Prob. 11ECh. A.4 - Prob. 12ECh. A.4 - Prob. 13ECh. A.4 - Prob. 14ECh. A.4 - Prob. 15ECh. A.4 - Prob. 16ECh. A.4 - Prob. 17ECh. A.4 - Prob. 18ECh. A.4 - Prob. 19ECh. A.4 - Prob. 20ECh. A.4 - Prob. 21ECh. A.4 - Prob. 22ECh. A.4 - Prob. 23ECh. A.4 - Prob. 24ECh. A.4 - Prob. 25ECh. A.4 - Prob. 26ECh. A.4 - Prob. 27ECh. A.4 - Prob. 28ECh. A.4 - Prob. 29ECh. A.4 - Prob. 30ECh. A.4 - Prob. 31ECh. A.4 - Prob. 32ECh. A.4 - Prob. 33ECh. A.4 - Prob. 34ECh. A.4 - Prob. 35ECh. A.4 - Prob. 36ECh. A.4 - Prob. 37ECh. A.4 - Prob. 38ECh. A.4 - Prob. 39ECh. A.4 - Prob. 40ECh. A.4 - Prob. 41ECh. A.4 - Prob. 42ECh. A.4 - Prob. 43ECh. A.4 - Prob. 44ECh. A.4 - Prob. 45ECh. A.4 - Prob. 46ECh. A.4 - Prob. 47ECh. A.4 - Prob. 48ECh. A.4 - Prob. 49ECh. A.4 - Prob. 50ECh. A.4 - Prob. 51ECh. A.4 - Prob. 52ECh. A.4 - Prob. 53ECh. A.4 - Prob. 54ECh. A.4 - Prob. 55ECh. A.4 - Prob. 56ECh. A.4 - Prob. 57ECh. A.4 - Prob. 58ECh. A.4 - Prob. 59ECh. A.4 - Prob. 60ECh. A.4 - Prob. 61ECh. A.4 - Prob. 62ECh. A.4 - Prob. 63ECh. A.4 - Prob. 64ECh. A.4 - Prob. 65ECh. A.4 - Prob. 66ECh. A.4 - Prob. 67ECh. A.4 - Prob. 68ECh. A.4 - Rewriting a Difference Quotient In Exercises 6570,...Ch. A.4 - Prob. 70ECh. A.4 - Prob. 71ECh. A.4 - Prob. 72ECh. A.4 - Prob. 73ECh. A.4 - Prob. 74ECh. A.4 - Prob. 75ECh. A.4 - Prob. 76ECh. A.4 - Prob. 77ECh. A.4 - Prob. 78ECh. A.4 - Prob. 79ECh. A.4 - Prob. 80ECh. A.5 - Prob. 1CPCh. A.5 - Prob. 2CPCh. A.5 - Prob. 3CPCh. A.5 - Prob. 4CPCh. A.5 - Prob. 5CPCh. A.5 - Prob. 6CPCh. A.5 - Prob. 7CPCh. A.5 - Prob. 8CPCh. A.5 - Prob. 9CPCh. A.5 - Prob. 10CPCh. A.5 - Prob. 11CPCh. A.5 - Checkpoint Solve -40-9x+2=x.Ch. A.5 - Prob. 13CPCh. A.5 - Checkpoint Solve x2+4x=7x+18 and check your...Ch. A.5 - Prob. 15CPCh. A.5 - Prob. 1ECh. A.5 - Prob. 2ECh. A.5 - Prob. 3ECh. A.5 - Prob. 4ECh. A.5 - Prob. 5ECh. A.5 - Prob. 6ECh. A.5 - Prob. 7ECh. A.5 - Prob. 8ECh. A.5 - Prob. 9ECh. A.5 - Prob. 10ECh. A.5 - Prob. 11ECh. A.5 - Prob. 12ECh. A.5 - Prob. 13ECh. A.5 - Skills and Applications Solving a Rational...Ch. A.5 - Prob. 15ECh. A.5 - Prob. 16ECh. A.5 - Prob. 17ECh. A.5 - Skills and Applications Solving a Rational...Ch. A.5 - Prob. 19ECh. A.5 - Prob. 20ECh. A.5 - Prob. 21ECh. A.5 - Prob. 22ECh. A.5 - Prob. 23ECh. A.5 - Prob. 24ECh. A.5 - Prob. 25ECh. A.5 - Prob. 26ECh. A.5 - Prob. 27ECh. A.5 - Prob. 28ECh. A.5 - Prob. 29ECh. A.5 - Prob. 30ECh. A.5 - Prob. 31ECh. A.5 - Prob. 32ECh. A.5 - Prob. 33ECh. A.5 - Prob. 34ECh. A.5 - Prob. 35ECh. A.5 - Prob. 36ECh. A.5 - Prob. 37ECh. 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A.5 - Prob. 88ECh. A.5 - Prob. 89ECh. A.5 - Prob. 90ECh. A.5 - Prob. 91ECh. A.5 - Prob. 92ECh. A.5 - Skills and Applications: Volume of a Billiard Ball...Ch. A.5 - Prob. 94ECh. A.5 - Skills and Applications: Forensics In Exercises 95...Ch. A.5 - Skills and Applications: Forensics In Exercises 95...Ch. A.5 - Prob. 97ECh. A.5 - Prob. 98ECh. A.5 - Prob. 99ECh. A.5 - Prob. 100ECh. A.6 - Write an inequality that represents each interval....Ch. A.6 - Prob. 2CPCh. A.6 - Prob. 3CPCh. A.6 - Prob. 4CPCh. A.6 - Prob. 5CPCh. A.6 - Prob. 6CPCh. A.6 - Prob. 7CPCh. A.6 - Prob. 1ECh. A.6 - Prob. 2ECh. A.6 - Fill in the blanks It is sometimes possible to...Ch. A.6 - Prob. 4ECh. A.6 - Prob. 5ECh. A.6 - Prob. 6ECh. A.6 - Prob. 7ECh. A.6 - Prob. 8ECh. A.6 - Prob. 9ECh. A.6 - Prob. 10ECh. A.6 - Intervals and Inequalities In Exercises 5-12,...Ch. A.6 - Prob. 12ECh. A.6 - Solving a Linear Inequality In Exercises 13-30,...Ch. A.6 - Prob. 14ECh. A.6 - Prob. 15ECh. A.6 - Prob. 16ECh. A.6 - Prob. 17ECh. A.6 - Prob. 18ECh. A.6 - Prob. 19ECh. A.6 - Prob. 20ECh. A.6 - Prob. 21ECh. A.6 - Prob. 22ECh. A.6 - Prob. 23ECh. A.6 - Prob. 24ECh. A.6 - Prob. 25ECh. A.6 - Prob. 26ECh. A.6 - Prob. 27ECh. A.6 - Prob. 28ECh. A.6 - Prob. 29ECh. A.6 - Prob. 30ECh. A.6 - Prob. 31ECh. A.6 - Prob. 32ECh. A.6 - Prob. 33ECh. A.6 - Prob. 34ECh. A.6 - Prob. 35ECh. A.6 - Prob. 36ECh. A.6 - Solving a Double Inequality In Exercises 31-42,...Ch. A.6 - Prob. 38ECh. A.6 - Prob. 39ECh. A.6 - Prob. 40ECh. A.6 - Prob. 41ECh. A.6 - Prob. 42ECh. A.6 - Prob. 43ECh. A.6 - Prob. 44ECh. A.6 - Prob. 45ECh. A.6 - Prob. 46ECh. A.6 - Prob. 47ECh. A.6 - Prob. 48ECh. A.6 - Prob. 49ECh. A.6 - Prob. 50ECh. A.6 - Prob. 51ECh. A.6 - Prob. 52ECh. A.6 - Prob. 53ECh. A.6 - Prob. 54ECh. A.6 - Prob. 55ECh. A.6 - Prob. 56ECh. A.6 - Prob. 57ECh. A.6 - Prob. 58ECh. A.6 - Prob. 59ECh. A.6 - Prob. 60ECh. A.6 - Prob. 61ECh. A.6 - Prob. 62ECh. A.6 - Prob. 63ECh. A.6 - Prob. 64ECh. A.6 - Prob. 65ECh. A.6 - Prob. 66ECh. A.6 - Prob. 67ECh. 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