Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN: 9781285195728
Author: Jerome E. Kaufmann, Karen L. Schwitters
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 10.CM, Problem 1CM
To determine

To evaluate:

The algebraic expression for the given values of the variables.

Expert Solution & Answer
Check Mark

Answer to Problem 1CM

Solution:

The algebraic expression for −5(x−1)−3(2x+4)+3(3x−1) is −6.

Explanation of Solution

Approach:

Replace each variable in the expressions with its value.

Order of operations:

The order is parenthesis, exponents, multiplication, division, addition and subtraction.

Calculation:

The given algebraic expression is −5(x−1)−3(2x+4)+3(3x−1)

Substitute x for −2 in the expression −5(x−1)−3(2x+4)+3(3x−1),

−5((−2)−1)−3(2(−2)+4)+3(3(−2)−1)

=−5(−3)−3(2(−2)+4)+3(3(−2)−1)

=−5(−3)−3(−4+4)+3(−6−1)=15−3(0)+3(−7)

Remove the parentheses,

=15−0−21=15−21=−6

Therefore, the algebraic expression for −5(x−1)−3(2x+4)+3(3x−1) is −6.

Final statement:

The algebraic expression for −5(x−1)−3(2x+4)+3(3x−1) is −6.

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Chapter 10 Solutions

Intermediate Algebra

Ch. 10.1 - For Problems 110, answer true or false. To solve a...Ch. 10.1 - Prob. 2CQCh. 10.1 - Prob. 3CQCh. 10.1 - Prob. 4CQCh. 10.1 - Prob. 5CQCh. 10.1 - Prob. 6CQCh. 10.1 - Prob. 7CQCh. 10.1 - For Problems 1-10, answer true or false. The...Ch. 10.1 - Prob. 9CQCh. 10.1 - Prob. 10CQ
Ch. 10.1 - Prob. 1PSCh. 10.1 - Prob. 2PSCh. 10.1 - Prob. 3PSCh. 10.1 - Prob. 4PSCh. 10.1 - Prob. 5PSCh. 10.1 - Prob. 6PSCh. 10.1 - Prob. 7PSCh. 10.1 - Prob. 8PSCh. 10.1 - Prob. 9PSCh. 10.1 - Prob. 10PSCh. 10.1 - Prob. 11PSCh. 10.1 - Prob. 12PSCh. 10.1 - Prob. 13PSCh. 10.1 - Prob. 14PSCh. 10.1 - Prob. 15PSCh. 10.1 - Prob. 16PSCh. 10.1 - Prob. 17PSCh. 10.1 - Prob. 18PSCh. 10.1 - Prob. 19PSCh. 10.1 - For Problems 17-32, indicate the solution set for...Ch. 10.1 - Prob. 21PSCh. 10.1 - Prob. 22PSCh. 10.1 - Prob. 23PSCh. 10.1 - Prob. 24PSCh. 10.1 - Prob. 25PSCh. 10.1 - Prob. 26PSCh. 10.1 - Prob. 27PSCh. 10.1 - Prob. 28PSCh. 10.1 - Prob. 29PSCh. 10.1 - Prob. 30PSCh. 10.1 - Prob. 31PSCh. 10.1 - Prob. 32PSCh. 10.1 - Prob. 33PSCh. 10.1 - Prob. 34PSCh. 10.1 - Prob. 35PSCh. 10.1 - Prob. 36PSCh. 10.2 - Prob. 1CQCh. 10.2 - Prob. 2CQCh. 10.2 - Prob. 3CQCh. 10.2 - Prob. 4CQCh. 10.2 - Prob. 5CQCh. 10.2 - Prob. 1PSCh. 10.2 - Prob. 2PSCh. 10.2 - Prob. 3PSCh. 10.2 - For Problems 126, solve each system by using the...Ch. 10.2 - Prob. 5PSCh. 10.2 - Prob. 6PSCh. 10.2 - Prob. 7PSCh. 10.2 - Prob. 8PSCh. 10.2 - Prob. 9PSCh. 10.2 - Prob. 10PSCh. 10.2 - Prob. 11PSCh. 10.2 - Prob. 12PSCh. 10.2 - Prob. 13PSCh. 10.2 - Prob. 14PSCh. 10.2 - Prob. 15PSCh. 10.2 - Prob. 16PSCh. 10.2 - Prob. 17PSCh. 10.2 - Prob. 18PSCh. 10.2 - Prob. 19PSCh. 10.2 - Prob. 20PSCh. 10.2 - Prob. 21PSCh. 10.2 - Prob. 22PSCh. 10.2 - Prob. 23PSCh. 10.2 - Prob. 24PSCh. 10.2 - Prob. 25PSCh. 10.2 - Prob. 26PSCh. 10.2 - Prob. 27PSCh. 10.2 - Prob. 28PSCh. 10.2 - Prob. 29PSCh. 10.2 - Prob. 30PSCh. 10.2 - Prob. 31PSCh. 10.2 - Prob. 32PSCh. 10.2 - Prob. 33PSCh. 10.2 - Prob. 34PSCh. 10.2 - Prob. 35PSCh. 10.2 - Prob. 36PSCh. 10.2 - Prob. 37PSCh. 10.2 - Prob. 38PSCh. 10.2 - Prob. 39PSCh. 10.2 - Prob. 40PSCh. 10.2 - Prob. 41PSCh. 10.2 - Prob. 42PSCh. 10.2 - Prob. 43PSCh. 10.2 - Prob. 44PSCh. 10.2 - Prob. 45PSCh. 10.3 - Prob. 1CQCh. 10.3 - Prob. 2CQCh. 10.3 - Prob. 3CQCh. 10.3 - Prob. 4CQCh. 10.3 - Prob. 5CQCh. 10.3 - Prob. 6CQCh. 10.3 - Prob. 7CQCh. 10.3 - Prob. 8CQCh. 10.3 - Prob. 1PSCh. 10.3 - Prob. 2PSCh. 10.3 - Prob. 3PSCh. 10.3 - Prob. 4PSCh. 10.3 - Prob. 5PSCh. 10.3 - Prob. 6PSCh. 10.3 - Prob. 7PSCh. 10.3 - Prob. 8PSCh. 10.3 - Prob. 9PSCh. 10.3 - Prob. 10PSCh. 10.3 - Prob. 11PSCh. 10.3 - Prob. 12PSCh. 10.3 - Prob. 13PSCh. 10.3 - Prob. 14PSCh. 10.3 - Prob. 15PSCh. 10.3 - Prob. 16PSCh. 10.3 - Prob. 17PSCh. 10.3 - Prob. 18PSCh. 10.3 - Prob. 19PSCh. 10.3 - Prob. 20PSCh. 10.3 - Prob. 21PSCh. 10.3 - Prob. 22PSCh. 10.3 - Prob. 23PSCh. 10.3 - Prob. 24PSCh. 10.3 - Prob. 25PSCh. 10.3 - Prob. 26PSCh. 10.3 - Prob. 27PSCh. 10.3 - Prob. 28PSCh. 10.3 - Prob. 29PSCh. 10.3 - For Problems 19-48, solve each system by using...Ch. 10.3 - Prob. 31PSCh. 10.3 - Prob. 32PSCh. 10.3 - Prob. 33PSCh. 10.3 - Prob. 34PSCh. 10.3 - Prob. 35PSCh. 10.3 - Prob. 36PSCh. 10.3 - Prob. 37PSCh. 10.3 - Prob. 38PSCh. 10.3 - Prob. 39PSCh. 10.3 - Prob. 40PSCh. 10.3 - Prob. 41PSCh. 10.3 - Prob. 42PSCh. 10.3 - Prob. 43PSCh. 10.3 - Prob. 44PSCh. 10.3 - Prob. 45PSCh. 10.3 - Prob. 46PSCh. 10.3 - Prob. 47PSCh. 10.3 - Prob. 48PSCh. 10.3 - Prob. 49PSCh. 10.3 - Prob. 50PSCh. 10.3 - Prob. 51PSCh. 10.3 - Prob. 52PSCh. 10.3 - Prob. 53PSCh. 10.3 - Prob. 54PSCh. 10.3 - Prob. 55PSCh. 10.3 - For Problems 49-60, solve each problem by setting...Ch. 10.3 - Prob. 57PSCh. 10.3 - Prob. 58PSCh. 10.3 - Prob. 59PSCh. 10.3 - Prob. 60PSCh. 10.3 - Prob. 61PSCh. 10.3 - Prob. 62PSCh. 10.3 - Prob. 63PSCh. 10.3 - Prob. 64PSCh. 10.3 - Prob. 65PSCh. 10.3 - Prob. 66PSCh. 10.3 - Prob. 67PSCh. 10.4 - Prob. 1CQCh. 10.4 - Prob. 2CQCh. 10.4 - For Problems 1-10, answer true or false. Three...Ch. 10.4 - Prob. 4CQCh. 10.4 - Prob. 5CQCh. 10.4 - Prob. 6CQCh. 10.4 - Prob. 7CQCh. 10.4 - Prob. 8CQCh. 10.4 - Prob. 9CQCh. 10.4 - Prob. 10CQCh. 10.4 - Prob. 1PSCh. 10.4 - Prob. 2PSCh. 10.4 - Prob. 3PSCh. 10.4 - Prob. 4PSCh. 10.4 - Prob. 5PSCh. 10.4 - Prob. 6PSCh. 10.4 - Prob. 7PSCh. 10.4 - Prob. 8PSCh. 10.4 - Prob. 9PSCh. 10.4 - Prob. 10PSCh. 10.4 - Prob. 11PSCh. 10.4 - Prob. 12PSCh. 10.4 - Prob. 13PSCh. 10.4 - Prob. 14PSCh. 10.4 - Prob. 15PSCh. 10.4 - Prob. 16PSCh. 10.4 - Prob. 17PSCh. 10.4 - Prob. 18PSCh. 10.4 - Prob. 19PSCh. 10.4 - Prob. 20PSCh. 10.4 - Solve each of the following problems by setting up...Ch. 10.4 - Prob. 22PSCh. 10.4 - Prob. 23PSCh. 10.4 - Prob. 24PSCh. 10.4 - Prob. 25PSCh. 10.4 - Prob. 26PSCh. 10.4 - Prob. 27PSCh. 10.4 - Prob. 28PSCh. 10.4 - Prob. 29PSCh. 10.4 - Prob. 30PSCh. 10.5 - Prob. 1CQCh. 10.5 - Prob. 2CQCh. 10.5 - Prob. 3CQCh. 10.5 - Prob. 4CQCh. 10.5 - Prob. 5CQCh. 10.5 - Prob. 6CQCh. 10.5 - Prob. 7CQCh. 10.5 - Prob. 8CQCh. 10.5 - Prob. 1PSCh. 10.5 - Prob. 2PSCh. 10.5 - Prob. 3PSCh. 10.5 - Prob. 4PSCh. 10.5 - Prob. 5PSCh. 10.5 - Prob. 6PSCh. 10.5 - Prob. 7PSCh. 10.5 - Prob. 8PSCh. 10.5 - Prob. 9PSCh. 10.5 - Prob. 10PSCh. 10.5 - Prob. 11PSCh. 10.5 - Prob. 12PSCh. 10.5 - Prob. 13PSCh. 10.5 - Prob. 14PSCh. 10.5 - Prob. 15PSCh. 10.5 - Prob. 16PSCh. 10.5 - Prob. 17PSCh. 10.5 - Prob. 18PSCh. 10.5 - Prob. 19PSCh. 10.5 - Prob. 20PSCh. 10.5 - Prob. 21PSCh. 10.5 - Prob. 22PSCh. 10.5 - Prob. 23PSCh. 10.5 - Prob. 24PSCh. 10.5 - Prob. 25PSCh. 10.5 - Prob. 26PSCh. 10.5 - Prob. 27PSCh. 10.5 - Prob. 28PSCh. 10.5 - Prob. 29PSCh. 10.5 - Prob. 30PSCh. 10.5 - Prob. 31PSCh. 10.5 - Prob. 32PSCh. 10.5 - Prob. 33PSCh. 10.S - Prob. 1SCh. 10.S - Prob. 2SCh. 10.S - Prob. 3SCh. 10.S - Prob. 4SCh. 10.S - Prob. 5SCh. 10.S - Prob. 6SCh. 10.S - Prob. 7SCh. 10.S - Prob. 8SCh. 10.S - Prob. 9SCh. 10.CR - Prob. 1CRCh. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 25CRCh. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10.CR - Prob. 33CRCh. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CRCh. 10.CR - Prob. 36CRCh. 10.CR - Prob. 37CRCh. 10.CR - Prob. 38CRCh. 10.CR - Prob. 39CRCh. 10.CR - Prob. 40CRCh. 10.CR - Prob. 41CRCh. 10.CR - Prob. 42CRCh. 10.CT - Prob. 1CTCh. 10.CT - Prob. 2CTCh. 10.CT - Prob. 3CTCh. 10.CT - Prob. 4CTCh. 10.CT - Prob. 5CTCh. 10.CT - Prob. 6CTCh. 10.CT - Prob. 7CTCh. 10.CT - Prob. 8CTCh. 10.CT - Prob. 9CTCh. 10.CT - Prob. 10CTCh. 10.CT - Prob. 11CTCh. 10.CT - For Problems 5-12, solve each of the systems....Ch. 10.CT - Prob. 13CTCh. 10.CT - Prob. 14CTCh. 10.CT - Prob. 15CTCh. 10.CT - Prob. 16CTCh. 10.CT - Prob. 17CTCh. 10.CT - Prob. 18CTCh. 10.CT - Prob. 19CTCh. 10.CT - Prob. 20CTCh. 10.CT - Prob. 21CTCh. 10.CT - Prob. 22CTCh. 10.CT - Prob. 23CTCh. 10.CT - Prob. 24CTCh. 10.CT - Prob. 25CTCh. 10.CM - Prob. 1CMCh. 10.CM - Prob. 2CMCh. 10.CM - Prob. 3CMCh. 10.CM - Prob. 4CMCh. 10.CM - Prob. 5CMCh. 10.CM - Prob. 6CMCh. 10.CM - Prob. 7CMCh. 10.CM - Prob. 8CMCh. 10.CM - Prob. 9CMCh. 10.CM - Prob. 10CMCh. 10.CM - Prob. 11CMCh. 10.CM - Prob. 12CMCh. 10.CM - Prob. 13CMCh. 10.CM - Prob. 14CMCh. 10.CM - Prob. 15CMCh. 10.CM - Prob. 16CMCh. 10.CM - Prob. 17CMCh. 10.CM - Prob. 18CMCh. 10.CM - Prob. 19CMCh. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - Prob. 21CMCh. 10.CM - Prob. 22CMCh. 10.CM - Prob. 23CMCh. 10.CM - Prob. 24CMCh. 10.CM - For problems 20-25, factor each of the algebraic...Ch. 10.CM - Prob. 26CMCh. 10.CM - Prob. 27CMCh. 10.CM - Prob. 28CMCh. 10.CM - Prob. 29CMCh. 10.CM - Prob. 30CMCh. 10.CM - Prob. 31CMCh. 10.CM - Prob. 32CMCh. 10.CM - Prob. 33CMCh. 10.CM - Prob. 34CMCh. 10.CM - Prob. 35CMCh. 10.CM - Prob. 36CMCh. 10.CM - Prob. 37CMCh. 10.CM - Prob. 38CMCh. 10.CM - Prob. 39CMCh. 10.CM - Prob. 40CMCh. 10.CM - Prob. 41CMCh. 10.CM - Prob. 42CMCh. 10.CM - Prob. 43CMCh. 10.CM - Prob. 44CMCh. 10.CM - Prob. 45CMCh. 10.CM - Prob. 46CMCh. 10.CM - Prob. 47CMCh. 10.CM - Prob. 48CMCh. 10.CM - Prob. 49CMCh. 10.CM - Prob. 50CMCh. 10.CM - Prob. 51CMCh. 10.CM - Prob. 52CMCh. 10.CM - Prob. 53CMCh. 10.CM - Prob. 54CMCh. 10.CM - Prob. 55CMCh. 10.CM - Prob. 56CMCh. 10.CM - Prob. 57CMCh. 10.CM - Prob. 58CMCh. 10.CM - Prob. 59CMCh. 10.CM - Prob. 60CMCh. 10.CM - Prob. 61CMCh. 10.CM - Prob. 62CMCh. 10.CM - Prob. 63CMCh. 10.CM - Prob. 64CMCh. 10.CM - Prob. 65CMCh. 10.CM - For problems 65-70, graph each of the equations....Ch. 10.CM - Prob. 67CMCh. 10.CM - Prob. 68CMCh. 10.CM - Prob. 69CMCh. 10.CM - Prob. 70CMCh. 10.CM - Prob. 71CMCh. 10.CM - Prob. 72CMCh. 10.CM - Prob. 73CMCh. 10.CM - Prob. 74CMCh. 10.CM - Prob. 75CMCh. 10.CM - Prob. 76CMCh. 10.CM - Prob. 77CMCh. 10.CM - Prob. 78CMCh. 10.CM - Prob. 79CMCh. 10.CM - Prob. 80CMCh. 10.CM - Prob. 81CMCh. 10.CM - The volume of a gas at a constant temperature...Ch. 10.CM - Prob. 83CMCh. 10.CM - Prob. 84CMCh. 10.CM - Prob. 85CMCh. 10.CM - Prob. 86CMCh. 10.CM - Prob. 87CMCh. 10.CM - Prob. 88CMCh. 10.CM - Prob. 89CMCh. 10.CM - Prob. 90CMCh. 10.CM - Prob. 91CMCh. 10.CM - Prob. 92CMCh. 10.CM - Prob. 93CMCh. 10.CM - Prob. 94CMCh. 10.CM - Prob. 95CMCh. 10.CM - Prob. 96CMCh. 10.CM - Prob. 97CMCh. 10.CM - Prob. 98CMCh. 10.CM - Prob. 99CMCh. 10.CM - Prob. 100CMCh. 10.CM - Prob. 101CMCh. 10.CM - Prob. 102CMCh. 10.CM - Prob. 103CMCh. 10.CM - Prob. 104CMCh. 10.CM - Prob. 105CMCh. 10.CM - Prob. 106CMCh. 10.CM - Prob. 107CMCh. 10.CM - Prob. 108CMCh. 10.CM - Prob. 109CMCh. 10.CM - Prob. 110CMCh. 10.CM - Prob. 111CMCh. 10.CM - Prob. 112CMCh. 10.CM - Prob. 113CMCh. 10.CM - Prob. 114CMCh. 10.CM - Prob. 115CMCh. 10.CM - Prob. 116CMCh. 10.CM - Prob. 117CMCh. 10.CM - Prob. 118CMCh. 10.CM - For problems 119-130, set up an equation, an...Ch. 10.CM - Prob. 120CMCh. 10.CM - Prob. 121CMCh. 10.CM - Prob. 122CMCh. 10.CM - Prob. 123CMCh. 10.CM - Prob. 124CMCh. 10.CM - Prob. 125CMCh. 10.CM - Prob. 126CMCh. 10.CM - Prob. 127CMCh. 10.CM - Prob. 128CMCh. 10.CM - Prob. 129CMCh. 10.CM - Prob. 130CM
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