Elementary Algebra17th EditionLynn Marecek, MaryAnne Anthony-Smith Publisher: OpenStax - Rice UniversityISBN: 9780998625713
Elementary Algebra
Solutions for Elementary Algebra
Problem 6.1TI:
Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial: (a) 5b...Problem 6.2TI:
Determine whether each polynomial is a monomial, binomial, trinomial, or other polynomial: (a) 27z38...Problem 6.3TI:
Find the degree of the following polynomials: (a) 15b (b) 10z4+4z25 (c) 12c5d4+9c3d97 (d) 3x2y4x (e)...Problem 6.4TI:
Find the degree of the following polynomials: (a) 52 (b) a4b17a4 (c) 5x+6y+2z (d) 3x25x+7 (e) a3Problem 6.5TI:
Add: 12q2+9q2 .Problem 6.6TI:
Add: 15c2+8c2 .Problem 6.7TI:
Subtract: 8m(5m) .Problem 6.8TI:
Subtract: 15z3(5z3) .Problem 6.9TI:
Add: 8y2+3z23y2 .Problem 6.10TI:
Add: 3m2+n27m2 .Problem 6.11TI:
Simplify: m2n28m2+4n2 .Problem 6.12TI:
Simplify: pq26p5q2 .Problem 6.13TI:
Find the sum: (7x24x+5)+(x27x+3) .Problem 6.14TI:
Find the sum: (14y2+6y4)+(3y2+8y+5) .Problem 6.15TI:
Find the difference: (8x2+3x19)(7x214) .Problem 6.16TI:
Find the difference: (9b25b4)(3b25b7) .Problem 6.17TI:
Subtract: (5z26z2) from (7z2+6z4) .Problem 6.18TI:
Subtract: (x25x8) from (6x2+9x1) .Problem 6.19TI:
Find the sum: (3x24xy+5y2)+(2x2xy) .Problem 6.20TI:
Find the sum: (2x23xy2y2)+(5x23xy) .Problem 6.21TI:
Find the difference: (a2+b2)(a2+5ab6b2) .Problem 6.22TI:
Find the difference: (m2+n2)(m27mn3n2) .Problem 6.23TI:
Simplify: (x3x2y)(xy2+y)+(x2y+xy2) .Problem 6.24TI:
Simplify: (p3p2q)(pq2+q3)(p2q+pq2) .Problem 6.25TI:
Evaluate: 3x2+2x15 when (a)x=3 (b)x=5 (c)x=0Problem 6.26TI:
Evaluate: 5z2z4 when (a) z=2 (b) z=0 (c) z=2Problem 6.27TI:
The polynomial 16t2+250 gives the height of a ball t seconds after it is dropped from a 250-foot...Problem 6.28TI:
The polynomial 16t2+250 gives the height of a ball t seconds after it is dropped from a 250-foot...Problem 6.29TI:
The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top...Problem 6.30TI:
The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top...Problem 1E:
In the following exercises, determine if each of the following polynomials is a monomial, binomial,...Problem 2E:
In the following exercises, determine if each of the following polynomials is a monomial, binomial,...Problem 3E:
In the following exercises, determine if each of the following polynomials is a monomial, binomial,...Problem 4E:
In the following exercises, determine if each of the following polynomials is a monomial, binomial,...Problem 5E:
In the following exercises, determine the degree of each polynomial. 5. (a) 6a2+12a+14 (b) 18xy2z...Problem 6E:
In the following exercises, determine the degree of each polynomial. 6. (a) 9y310y2+2y6 (b) 12p4 (c)...Problem 7E:
In the following exercises, determine the degree of each polynomial. 7. (a) 1429x (b) z25z6 (c)...Problem 8E:
In the following exercises, determine the degree of each polynomial. 8. (a) 62y2 (b) 15 (c)...Problem 31E:
In the following exercises, add or subtract the monomials. 31. Subtract 5x6 from 12x6 .Problem 47E:
In the following exercises, add or subtract the polynomials. 47. Subtract (9x2+2) from (12x3x+6) .Problem 48E:
In the following exercises, add or subtract the polynomials. 48. Subtract (5y2y+12) from (10y28y20)...Problem 49E:
In the following exercises, add or subtract the polynomials. 49. Subtract (7w24w+2) from (8w2w+6) .Problem 50E:
In the following exercises, add or subtract the polynomials. 50. Subtract (5x2x+12) from (9x26x20) .Problem 51E:
In the following exercises, add or subtract the polynomials. 51. Find the sum of (2p38) and...Problem 52E:
In the following exercises, add or subtract the polynomials. 52. Find the sum of (q2+4q+13) and...Problem 53E:
In the following exercises, add or subtract the polynomials. 53. Find the sum of (8a38a) and...Problem 54E:
In the following exercises, add or subtract the polynomials. 54. Find the sum of (b2+5b+13) and...Problem 55E:
In the following exercises, add or subtract the polynomials. 55. Find the difference of (w2+w42) and...Problem 56E:
In the following exercises, add or subtract the polynomials. 56. Find the difference of (z23z18) and...Problem 57E:
In the following exercises, add or subtract the polynomials. 57. Find the difference of (c2+4c33)...Problem 58E:
In the following exercises, add or subtract the polynomials. 58. Find the difference of (t25t15) and...Problem 67E:
In the following exercises, add or subtract the polynomials. 67. (p33p2q)+(2pq2+4q3)(3p2q+pq2)Problem 68E:
In the following exercises, add or subtract the polynomials. 68. (a32a2b)+(ab2+b3)(3a2b+4ab2)Problem 69E:
In the following exercises, add or subtract the polynomials. 69. (x3x2y)(4xy2y3)+(3x2yxy2)Problem 70E:
In the following exercises, add or subtract the polynomials. 70. (x32x2y)(xy23y3)(x2y4xy2)Problem 71E:
In the following exercises, evaluate each polynomial for the given value. 71. Evaluate 8y23y+2 when:...Problem 72E:
In the following exercises, evaluate each polynomial for the given value. 72. Evaluate 5y2y7 when:...Problem 73E:
In the following exercises, evaluate each polynomial for the given value. 73. Evaluate 436x when:...Problem 74E:
In the following exercises, evaluate each polynomial for the given value. 74. Evaluate 1636x2 when:...Problem 75E:
In the following exercises, evaluate each polynomial for the given value. 75. A painter drops a...Problem 76E:
In the following exercises, evaluate each polynomial for the given value. 76. A girl drops a ball...Problem 77E:
In the following exercises, evaluate each polynomial for the given value. 77. A manufacturer of...Problem 78E:
In the following exercises, evaluate each polynomial for the given value. 78. A manufacturer of the...Problem 79E:
Fuel Efficiency The fuel efficiency (in miles per gallon) of a car going at a speed of x miles per...Problem 80E:
Stopping Distance The number of feet it takes for a car traveling at x miles per hour to stop on...Problem 81E:
Rental Cost The cost to rent a rug cleaner for d days is given by the polynomial 5.50d+25 . Find the...Problem 82E:
Height of Projectile The height (in feet) of an object projected upward is given by the polynomial...Problem 83E:
Temperature Conversion The temperature in degrees Fahrenheit is given by the polynomial 95c+32 where...Problem 84E:
Using your own words, explain the difference between a monomial, a binomial, and a trinomial.Browse All Chapters of This Textbook
Chapter 1 - FoundationsChapter 1.1 - Introduction To Whole NumbersChapter 1.2 - Use The Language Of AlgebraChapter 1.3 - Add And Subtract IntegersChapter 1.4 - Multiply And Divide IntegersChapter 1.5 - Visualize FractionsChapter 1.6 - Add And Subtract FractionsChapter 1.7 - DecimalsChapter 1.8 - The Real NumbersChapter 1.9 - Properties Of Real Numbers
Chapter 1.10 - Systems Of MeasurementChapter 2 - Solving Linear Equations And InequalitiesChapter 2.1 - Solve Equations Using The Subtraction And Addition Properties Of EqualityChapter 2.2 - Solve Equations Using The Division And Multiplication Properties Of EqualityChapter 2.3 - Solve Equations With Variables And Constants On Both SidesChapter 2.4 - Use A General Strategy To Solve Linear EquationsChapter 2.5 - Solve Equations With Fractions Or DecimalsChapter 2.6 - Solve A Formula For A Specific VariableChapter 2.7 - Solve Linear InequalitiesChapter 3 - Math ModelsChapter 3.1 - Use A Problem-solving StrategyChapter 3.2 - Solve Percent ApplicationsChapter 3.3 - Solve Mixture ApplicationsChapter 3.4 - Solve Geometry Applications: Triangles, Rectangles, And The Pythagorean TheoremChapter 3.5 - Solve Uniform Motion ApplicationsChapter 3.6 - Solve Applications With Linear InequalitiesChapter 4 - GraphsChapter 4.1 - Use The Rectangular Coordinate SystemChapter 4.2 - Graph Linear Equations In Two VariablesChapter 4.3 - Graph With InterceptsChapter 4.4 - Understand Slope Of A LineChapter 4.5 - Use The Slope–intercept Form Of An Equation Of A LineChapter 4.6 - Find The Equation Of A LineChapter 4.7 - Graphs Of Linear InequalitiesChapter 5 - Systems Of Linear EquationsChapter 5.1 - Solve Systems Of Equations By GraphingChapter 5.2 - Solve Systems Of Equations By SubstitutionChapter 5.3 - Solve Systems Of Equations By EliminationChapter 5.4 - Solve Applications With Systems Of EquationsChapter 5.5 - Solve Mixture Applications With Systems Of EquationsChapter 5.6 - Graphing Systems Of Linear InequalitiesChapter 6 - PolynomialsChapter 6.1 - Add And Subtract PolynomialsChapter 6.2 - Use Multiplication Properties Of ExponentsChapter 6.3 - Multiply PolynomialsChapter 6.4 - Special ProductsChapter 6.5 - Divide MonomialsChapter 6.6 - Divide PolynomialsChapter 6.7 - Integer Exponents And Scientific NotationChapter 7 - FactoringChapter 7.1 - Greatest Common Factor And Factor By GroupingChapter 7.2 - Factor Quadratic Trinomials With Leading Coefficient 1Chapter 7.3 - Factor Quadratic Trinomials With Leading Coefficient Other Than 1Chapter 7.4 - Factor Special ProductsChapter 7.5 - General Strategy For Factoring PolynomialsChapter 7.6 - Quadratic EquationsChapter 8 - Rational Expressions And EquationsChapter 8.1 - Simplify Rational ExpressionsChapter 8.2 - Multiply And Divide Rational ExpressionsChapter 8.3 - Add And Subtract Rational Expressions With A Common DenominatorChapter 8.4 - Add And Subtract Rational Expressions With Unlike DenominatorsChapter 8.5 - Simplify Complex Rational ExpressionsChapter 8.6 - Solve Rational EquationsChapter 8.7 - Solve Proportion And Similar Figure ApplicationsChapter 8.8 - Solve Uniform Motion And Work ApplicationsChapter 8.9 - Use Direct And Inverse VariationChapter 9 - Roots And RadicalsChapter 9.1 - Simplify And Use Square RootsChapter 9.2 - Simplify Square RootsChapter 9.3 - Add And Subtract Square RootsChapter 9.4 - Multiply Square RootsChapter 9.5 - Divide Square RootsChapter 9.6 - Solve Equations With Square RootsChapter 9.7 - Higher RootsChapter 9.8 - Rational ExponentsChapter 10 - Quadratic EquationsChapter 10.1 - Solve Quadratic Equations Using The Square Root PropertyChapter 10.2 - Solve Quadratic Equations By Completing The SquareChapter 10.3 - Solve Quadratic Equations Using The Quadratic FormulaChapter 10.4 - Solve Applications Modeled By Quadratic EquationsChapter 10.5 - Graphing Quadratic Equations
Sample Solutions for this Textbook
We offer sample solutions for Elementary Algebra homework problems. See examples below:
More Editions of This Book
Corresponding editions of this textbook are also available below:
ELEMENTARY ALGEBRA VOL 1-2
17th Edition
ISBN: 9781506698205
Elementary Algebra (OER)
17th Edition
ISBN: 9781947172258
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