Solutions for Elementary and Intermediate Algebra
Problem 1YT:
1. Find the opposite of.
Problem 2YT:
Find x and (x) when x=3.5.Problem 3YT:
Find x and (x) when x=9.Problem 4YT:
4. Write in words.
Problem 5YT:
Change the sign of 12.Problem 6YT:
6. Subtract: .
Problem 7YT:
Simplify: 3(1)+(10)7.Problem 8YT:
Simplify: Identify the terms of 5a7x10+y.Problem 9YT:
9. Combine like terms: .
Problem 10YT:
The lowest elevation in Asia, the Dead Sea, is 1349 ft below sea level. The highest elevation in...Problem 1ES:
In each of Exercises 1 - 4, two words appear under the blank Choose the correct word to complete...Problem 2ES:
In each of Exercises 1-4, two words appear under the blank Choose the correct word to complete the...Problem 3ES:
In each of Exercises 1-4, two words appear under the blank Choose the correct word to complete the...Problem 4ES:
In each of Exercises 1 - 4, two words appear under the blank Choose the correct word to complete...Problem 9ES:
In each of Exercises 5-12, match the expression with the appropriate expression from the column on...Problem 12ES:
In each of Exercises 5-12, match the expression with the appropriate expression from the column on...Problem 13ES:
Write each of the following in words.
13.
Problem 14ES:
Write each of the following in words. 513Problem 15ES:
Write each of the following in words.
15.
Problem 16ES:
Write each of the following in words. 4(1)Problem 17ES:
Write each of the following in words. xyProblem 18ES:
Write each of the following in words.
18.
Problem 19ES:
Write each of the following in words. 3(n)Problem 20ES:
Write each of the following in words.
20.
Problem 27ES:
Find -x when x is each of the following. 45Problem 28ES:
Find -x when x is each of the following.
28. 26
Problem 29ES:
Find -x when x is each of the following. 143Problem 30ES:
Find -x when x is each of the following.
30.
Problem 31ES:
Find -x when x is each of the following.
31. 0.101
Problem 32ES:
Find -x when x is each of the following.
32. 0
Problem 33ES:
Find - (-x) when x is each of the following.
33. 37
Problem 34ES:
Find - (-x) when x is each of the following.
34. 29
Problem 35ES:
Find - (-x) when x is each of the following. 25Problem 36ES:
Find - (-x) when x is each of the following.
36.
Problem 37ES:
Change the sign. (Find the opposite.)
37.
Problem 38ES:
Change the sign. (Find the opposite.) 7Problem 39ES:
Change the sign. (Find the opposite.)
39. 15
Problem 40ES:
Change the sign. (Find the opposite.) 10Problem 41ES:
Subtract.
41.
Problem 42ES:
Subtract.
42.
Problem 43ES:
Subtract.
43.
Problem 44ES:
Subtract. 08Problem 45ES:
Subtract. 43Problem 46ES:
Subtract.
46.
Problem 47ES:
Subtract.
47.
Problem 48ES:
Subtract. 9(5)Problem 49ES:
Subtract. Aha! 8(8)Problem 50ES:
Subtract. 10(10)Problem 51ES:
Subtract. 1419Problem 52ES:
Subtract.
52.
Problem 53ES:
Subtract. 3040Problem 54ES:
Subtract. 2027Problem 55ES:
Subtract. 9(9)Problem 56ES:
Subtract.
56.
Problem 57ES:
Subtract.
57.
Problem 58ES:
Subtract. 77Problem 59ES:
Subtract. 4(4)Problem 60ES:
Subtract.
60.
Problem 61ES:
Subtract.
61.
Problem 62ES:
Subtract.
62.
Problem 63ES:
Subtract. 6(10)Problem 64ES:
Subtract. 3(12)Problem 65ES:
Subtract.
65.
Problem 66ES:
Subtract. 142Problem 67ES:
Subtract.
67.
Problem 68ES:
Subtract. 4(1)Problem 69ES:
Subtract. 5(12)Problem 70ES:
Subtract. 5(6)Problem 71ES:
Subtract.
71.
Problem 72ES:
Subtract. 0(5)Problem 73ES:
Subtract.
73.
Problem 74ES:
Subtract. 3(1)Problem 75ES:
Subtract. 714Problem 76ES:
Subtract. 916Problem 77ES:
Subtract. 011Problem 78ES:
Subtract. 031Problem 79ES:
Subtract. 80Problem 80ES:
Subtract.
80.
Problem 81ES:
Subtract. 528Problem 82ES:
Subtract. 6311Problem 83ES:
Subtract.
83.
Problem 84ES:
Subtract. 1863Problem 85ES:
Subtract.
85.
Problem 86ES:
Subtract.
86.
Problem 87ES:
Subtract.
87.
Problem 88ES:
Subtract.
88.
Problem 89ES:
Subtract. 3.28.7Problem 90ES:
Subtract. 1.59.4Problem 91ES:
Subtract.
91.
Problem 92ES:
Subtract. 0.8251Problem 93ES:
Subtract.
93.
Problem 94ES:
Subtract. 3757Problem 95ES:
Subtract. 1535Problem 96ES:
Subtract.
96.
Problem 97ES:
Subtract.
97.
Problem 98ES:
Subtract.
98.
Problem 99ES:
Simplify.
99.
Problem 100ES:
Simplify. 22(18)+7+(42)27Problem 101ES:
Simplify. 31+(28)(14)17Problem 102ES:
Simplify.
102.
Problem 103ES:
Simplify. 3428+(33)44Problem 104ES:
Simplify.
104.
Problem 105ES:
Simplify. Aha! 93+(84)(93)(84)Problem 106ES:
Simplify.
106.
Problem 107ES:
Identify the terms in each expression.
107.
Problem 108ES:
Identify the terms in each expression. 7a9bProblem 109ES:
Identify the terms in each expression.
109.
Problem 110ES:
Identify the terms in each expression. 43x+2xyProblem 111ES:
Combine like terms. 11x13xProblem 112ES:
Combine like terms. 3a14aProblem 113ES:
Combine like terms.
113.
Problem 114ES:
Combine like terms.
114.
Problem 115ES:
Combine like terms. 8n9+7nProblem 116ES:
Combine like terms.
116.
Problem 117ES:
Combine like terms. 53x11Problem 118ES:
Combine like terms.
118.
Problem 119ES:
Combine like terms.
119.
Problem 120ES:
Combine like terms. 5+4b75bProblem 121ES:
Combine like terms. 5y+(3x)9x+12y+8Problem 122ES:
Combine like terms. 14(5x)+2z(32)+4z2xProblem 123ES:
Combine like terms.
123.
Problem 124ES:
Combine like terms. 8t(2t)14(5t)+539tProblem 125ES:
Subtract 32 from 8.Problem 126ES:
126. Subtract 19 from .
Problem 127ES:
127. Subtract from 18.
Problem 128ES:
128. Subtract from .
Problem 129ES:
In each of Exercises 129 -132 , translate the phrase to mathematical language and simplify.
129....Problem 130ES:
In each of Exercises 129-132, translate the phrase to mathematical language and simplify. The...Problem 131ES:
In each of Exercises 129 -132, translate the phrase to mathematical language and simplify. The...Problem 132ES:
In each of Exercises 129 -132, translate the phrase to mathematical language and simplify. The...Problem 133ES:
133. Elevation. The Jordan River begins in Lebanon at an elevation of 550 m above sea level and...Problem 134ES:
Elevation. The elevation of Mount Whitney, the highest peak in California, is 14,497 ft. Death...Problem 135ES:
Temperature Extremes. The highest temperature ever recorded in the United States is 134F in...Problem 136ES:
Temperature Change. In just 12 hr on February 21, 1918, the temperature in Granville, North Dakota,...Problem 137ES:
137. Basketball. A team’s points differential is the difference between points scored and points...Problem 138ES:
Underwater Elevation. The deepest point in the Pacific Ocean is the Challenger Deep in the Marianas...Problem 139ES:
Lowell insists that if you can add real numbers, then you can also subtract real numbers. Do you...Problem 141ES:
141. Explain the different uses of the symbol “−”. Give examples of each and how they should be...Problem 143ES:
Power Outages. During the Northeasts electrical blackout of August 14, 2003, residents of...Problem 144ES:
Tell whether each statement is true or false for all real numbers m and n. Use various replacements...Problem 145ES:
Tell whether each statement is true or false for all real numbers m and n. Use various replacements...Problem 146ES:
Tell whether each statement is true or false for all real numbers m and n. Use various replacements...Problem 147ES:
Tell whether each statement is true or false for all real numbers m and n. Use various replacements...Problem 148ES:
148. A gambler loses a wager and then loses “double or nothing” (meaning the gambler owes twice as...Problem 149ES:
149. List the keystrokes needed to compute.
Problem 1QQ:
1. Translate to an equation. Do not solve.
In the second quarter of 2011, a total of 9.25 million...Problem 2QQ:
List all the factors of 52. [1.3]Problem 3QQ:
3. Find the prime factorization of 52. [1.3]
Problem 4QQ:
Add: 10+(19). [1.5]Browse All Chapters of This Textbook
Chapter 1 - Introduction To Algebraic ExpressionsChapter 1.1 - Introduction To AlgebraChapter 1.2 - The Commutative, Associative, And Distributive LawsChapter 1.3 - Fraction NotationChapter 1.4 - Positive And Negative Real NumbersChapter 1.5 - Addition Of Real NumbersChapter 1.6 - Subtraction Of Real NumbersChapter 1.7 - Multiplication And Division Of Real NumbersChapter 1.8 - Exponential Notation And Order Of OperationsChapter 2 - Equations, Inequalities, And Problem Solving
Chapter 2.1 - Solving EquationsChapter 2.2 - Using The Principles TogetherChapter 2.3 - FormulasChapter 2.4 - Applications With PercentChapter 2.5 - Problem SolvingChapter 2.6 - Solving InequalitiesChapter 2.7 - Solving Applications With InequalitiesChapter 3 - Introduction To GraphingChapter 3.1 - Reading Graphs, Plotting Points, And Scaling GraphsChapter 3.2 - Graphing Linear EquationsChapter 3.3 - Graphing And InterceptsChapter 3.4 - RatesChapter 3.5 - SlopeChapter 3.6 - Slope–intercept FormChapter 3.7 - Point–slope Form And Equations Of LinesChapter 4 - PolynomialsChapter 4.1 - Exponents And Their PropertiesChapter 4.2 - Negative Exponents And Scientific NotationChapter 4.3 - PolynomialsChapter 4.4 - Addition And Subtraction Of PolynomialsChapter 4.5 - Multiplication Of PolynomialsChapter 4.6 - Special ProductsChapter 4.7 - Polynomials In Several VariablesChapter 4.8 - Division Of PolynomialsChapter 5 - Polynomials And FactoringChapter 5.1 - Introduction To FactoringChapter 5.2 - Factoring Trinomials Of The Type X2 + Bx + CChapter 5.3 - Factoring Trinomials Of The Type Ax2 + Bx + CChapter 5.4 - Factoring Perfect-square Trinomials And Differences Of SquaresChapter 5.5 - Factoring Sums Or Differences Of CubesChapter 5.6 - Factoring: A General StrategyChapter 5.7 - Solving Quadratic Equations By FactoringChapter 5.8 - Solving ApplicationsChapter 6 - Rational Expressions And EquationsChapter 6.1 - Rational ExpressionsChapter 6.2 - Multiplication And DivisionChapter 6.3 - Addition, Subtraction, And Least Common DenominatorsChapter 6.4 - Addition And Subtraction With Unlike DenominatorsChapter 6.5 - Complex Rational ExpressionsChapter 6.6 - Rational EquationsChapter 6.7 - Applications Using Rational Equations And ProportionsChapter 7 - Functions And GraphsChapter 7.1 - Introduction To FunctionsChapter 7.2 - Domain And RangeChapter 7.3 - Graphs Of FunctionsChapter 7.4 - The Algebra Of FunctionsChapter 7.5 - Formulas, Applications, And VariationChapter 8 - Systems Of Linear Equations And Problem SolvingChapter 8.1 - Systems Of Equations In Two VariablesChapter 8.2 - Solving By Substitution Or EliminationChapter 8.3 - Solving Applications: Systems Of Two EquationsChapter 8.4 - Systems Of Equations In Three VariablesChapter 8.5 - Solving Applications: Systems Of Three EquationsChapter 8.6 - Elimination Using MatricesChapter 8.7 - Determinants And Cramer’s RuleChapter 8.8 - Business And Economics ApplicationsChapter 9 - Inequalities And Problem SolvingChapter 9.1 - Inequalities And ApplicationsChapter 9.2 - Intersections, Unions, And Compound InequalitiesChapter 9.3 - Absolute-value Equations And InequalitiesChapter 9.4 - Inequalities In Two VariablesChapter 9.5 - Applications Using Linear ProgrammingChapter 10 - Exponents And RadicalsChapter 10.1 - Radical Expressions And FunctionsChapter 10.2 - Rational Numbers As ExponentsChapter 10.3 - Multiplying Radical ExpressionsChapter 10.4 - Dividing Radical ExpressionsChapter 10.5 - Expressions Containing Several Radical TermsChapter 10.6 - Solving Radical EquationsChapter 10.7 - The Distance Formula, The Midpoint Formula, And Other ApplicationsChapter 10.8 - The Complex NumbersChapter 11 - Quadratic Functions And EquationsChapter 11.1 - Quadratic EquationsChapter 11.2 - The Quadratic FormulaChapter 11.3 - Studying Solutions Of Quadratic EquationsChapter 11.4 - Applications Involving Quadratic EquationsChapter 11.5 - Equations Reducible To QuadraticChapter 11.6 - Quadratic Functions And Their GraphsChapter 11.7 - More About Graphing Quadratic FunctionsChapter 11.8 - Problem Solving And Quadratic FunctionsChapter 11.9 - Polynomial Inequalities And Rational InequalitiesChapter 12 - Exponential Functions And Logarithmic FunctionsChapter 12.1 - Composite Functions And Inverse FunctionsChapter 12.2 - Exponential FunctionsChapter 12.3 - Logarithmic FunctionsChapter 12.4 - Properties Of Logarithmic FunctionsChapter 12.5 - Common Logarithms And Natural LogarithmsChapter 12.6 - Solving Exponential Equations And Logarithmic EquationsChapter 12.7 - Applications Of Exponential Functions And Logarithmic FunctionsChapter 13 - Conic SectionsChapter 13.1 - Conic Sections: Parabolas And CirclesChapter 13.2 - Conic Sections: EllipsesChapter 13.3 - Conic Sections: HyperbolasChapter 13.4 - Nonlinear Systems Of EquationsChapter 14 - Sequences, Series, And The Binomial TheoremChapter 14.1 - Sequences And SeriesChapter 14.2 - Arithmetic Sequences And SeriesChapter 14.3 - Geometric Sequences And SeriesChapter 14.4 - The Binomial TheoremChapter R.1 - Introduction To Algebraic ExpressionsChapter R.2 - Equations, Inequalities, And Problem SolvingChapter R.3 - Introduction To GraphingChapter R.4 - PolynomialsChapter R.5 - Polynomials And FactoringChapter R.6 - Rational Expressions And EquationsChapter A - Mean, Median, And ModeChapter B - SetsChapter C - Synthetic Division And The Remainder Theorem
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Sample Solutions for this Textbook
We offer sample solutions for Elementary and Intermediate Algebra homework problems. See examples below:
Chapter 1.1, Problem 1YTGiven Information: The phrase is ‘Twice the difference of a number and 11’. The options are...Chapter 3, Problem 1RVSGiven Information: The provided option is shown below, A. 9−4x2, B. x2−(x−6)2, C. (x+3)(x−3), D....Given information: The degree measures of the angles of a triangle are three consecutive integers....Chapter 6, Problem 1RVSGiven information: The function is given as f(x)=x and The options given for graph are as follows,...Chapter 8, Problem 1RVSChapter 9, Problem 1RVS
Given Information: The provided function is f(x)=2x−5. The set of options for correct solution is,...Given Information: The function, f(x)=3x2 The set of options for correct solution is, Determine the...Given Information: The Function is f(x)=2x−3. Consider the function: f(x)=2x−3 Assume, f(x)=y Then,...Given information: The given equation is, (x−1)2+(y+3)2=9 The provided options, Consider the...Given Information: The provided equation is xy=2. The given options are, Consider the equation xy=2....Given Information: The given data is 13, 19, 6, 11, 28 and 37. Formula used: Mean: The mean of a set...Given Information: The expression is (x3+2x2−17x+6)÷(x−3). Calculation: The constant term of the...
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