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Math Algebra College Algebra

College Algebra 1st Edition, Jay Abramson

College Algebra - 1st Edition - by Jay Abramson - ISBN 9781938168383

College Algebra
1st Edition
Jay Abramson
Publisher: OpenStax
ISBN: 9781938168383

Solutions for College Algebra

Chapter

Section

Problem 1TI:

225 b. 81 c. 259 d. 36+121

Problem 2TI:

Simplify 50x2y3z .

Problem 3TI:

Simplify 50x2x assuming x0 .

Problem 4TI:

Simplify 2x29y4 .

Problem 5TI:

Simplify 9a5b143a4b5 .

Problem 6TI:

Problem 7TI:

Subtract: 380x445x .

Problem 8TI:

Write 1232 in simplest form.

Problem 9TI:

Write 72+3 in simplest form.

Problem 10TI:

Simplify. 2163 380454 69,0003+75763

Problem 11TI:

Write 952 as a radical. Simplify.

Problem 12TI:

Write x(5y)9 using a rational exponent.

Problem 13TI:

Simplify 8x13(14x65) .

Problem 1SE:

What does it mean when a radical does not have an index? Is the expression equal to the radicand?...

Problem 2SE:

Where would radicals come in the order of operations? Explain why.

Problem 3SE:

Every number will have two square root? What is the principal square root?

Problem 4SE:

Can a radical with a negative radicand have a real square root? Why or why not?

Problem 5SE:

For the following exercises, simplify the given expression. 5. 256

Problem 6SE:

For the following exercises, simplify each expression. 6. 256

Problem 7SE:

For the following exercises, simplify each expression. 7. 4(9+16)

Problem 8SE:

For the following exercises, simplify each expression. 8.

Problem 9SE:

For the following exercises, simplify each expression. 9. 196

Problem 10SE:

For the following exercises, simplify each expression. 10. 1

Problem 11SE:

For the following exercises, simplify each expression. 11. 98

Problem 12SE:

For the following exercises, simplify each expression. 12. 2764

Problem 13SE:

For the following exercises, simplify the given expression. 13. 815

Problem 14SE:

For the following exercises, simplify each expression. 14. 800

Problem 15SE:

For the following exercises, simplify each expression. 15. 169+144

Problem 16SE:

For the following exercises, simplify each expression. 16. 850

Problem 17SE:

For the following exercises, simplify each expression. 17. 18162

Problem 18SE:

For the following exercises, simplify each expression. 18. 192

Problem 19SE:

For the following exercises, simplify each expression. 19. 146624

Problem 20SE:

For the following exercises, simplify each expression. 20. 155+745

Problem 21SE:

For the following exercises, simplify each expression. 21. 150

Problem 22SE:

For the following exercises, simplify each expression. 22. 96100

Problem 23SE:

For the following exercises, simplify each expression. 23. (42)(30)

Problem 24SE:

For the following exercises, simplify each expression. 24. 123475

Problem 25SE:

For the following exercises, simplify each expression. 25. 4225

Problem 26SE:

For the following exercises, simplify each expression. 26. 405324

Problem 27SE:

For the following exercises, simplify each expression. 27. 360361

Problem 28SE:

For the following exercises, simplify each expression. 28. 51+3

Problem 29SE:

For the following exercises, simplify each expression. 29. 8117

Problem 30SE:

For the following exercises, simplify each expression. 30. 164

Problem 31SE:

For the following exercises, simplify each expression. 31. 1283+323

Problem 32SE:

For the following exercises, simplify each expression. 32. 322435

Problem 33SE:

For the following exercises, simplify each expression. 33. 15125454

Problem 34SE:

For the following exercises, simplify each expression. 34. 34323+163

Problem 35SE:

For the following exercises, simplify each expression. 35. 400x4

Problem 36SE:

For the following exercises, simplify each expression. 36. 4y2

Problem 37SE:

For the following exercises, simplify each expression. 37. 49p

Problem 38SE:

For the following exercises, simplify each expression. 38. (144p2q6)12

Problem 39SE:

For the following exercises, simplify each expression. 39. m52289

Problem 40SE:

For the following exercises, simplify each expression. 40. 93m2+27

Problem 41SE:

For the following exercises, simplify each expression. 41. 3ab2ba

Problem 42SE:

For the following exercises, simplify each expression. 42. 42n16n4

Problem 43SE:

For the following exercises, simplify each expression. 48. 225x349x

Problem 44SE:

For the following exercises, simplify each expression. 44. 344z+99z

Problem 45SE:

For the following exercises, simplify each expression. 45. 50y8

Problem 46SE:

For the following exercises, simplify each expression. 46. 490bc2

Problem 47SE:

For the following exercises, simplify each expression. 47. 3214d

Problem 48SE:

For the following exercises, simplify each expression. 48. q3263p

Problem 49SE:

For the following exercises, simplify each expression. 49. 813x

Problem 50SE:

For the following exercises, simplify each expression. 50. 20121d4

Problem 51SE:

For the following exercises, simplify each expression. 51. w3232w3250

Problem 52SE:

For the following exercises, simplify each expression. 52. 108x4+27x4

Problem 53SE:

For the following exercises, simplify each expression. 53. 12x2+23

Problem 54SE:

For the following exercises, simplify each expression. 54. 147k3

Problem 55SE:

For the following exercises, simplify each expression. 55. 125n10

Problem 56SE:

For the following exercises, simplify each expression. 56. 42q36q3

Problem 57SE:

For the following exercises, simplify each expression. 57. 81m361m2

Problem 58SE:

For the following exercises, simplify each expression. 58. 72c22c

Problem 59SE:

For the following exercises, simplify each expression. 59. 144324d2

Problem 60SE:

For the following exercises, simplify each expression. 60. 24x63+81x63

Problem 61SE:

For the following exercises, simplify each expression. 61. 162x616x44

Problem 62SE:

For the following exercises, simplify each expression. 62. 64y3

Problem 63SE:

For the following exercises, simplify each expression. 63. 128z3316z33

Problem 64SE:

For the following exercises, simplify each expression. 64. 1,024c105

Problem 65SE:

A guy wire for a suspension bridge runs from the ground diagonally to the top of the closest pylon...

Problem 66SE:

A car accelerates at a rate of 64tm/s2 where tis the time in seconds after the car moves from...

Problem 67SE:

For the following exercises, simplify each expression. 67. 81642212

Problem 68SE:

For the following exercises, simplify each expression. 68. 4321632813

Problem 69SE:

For the following exercises, simplify each expression. 69. mn3a2c3a7n2m2c4

Problem 70SE:

For the following exercises, simplify each expression. 70. aac

Problem 71SE:

For the following exercises, simplify each expression. 71. x64y+4y128y

Problem 72SE:

For the following exercises, simplify each expression. 72. ( 250 x 2 100 b 3 )(7b 125x)

Problem 73SE:

For the following exercises, simplify each expression. 73. 643+ 2564 64+ 256

Browse All Chapters of This Textbook

Chapter 1 - Prerequisites Chapter 1.1 - Real Numbers: Algebra Essentials Chapter 1.2 - Exponents And Scientific Notaion Chapter 1.3 - Radicals And Rational Expressions Chapter 1.4 - Polynomials Chapter 1.5 - Factoring Polynomials Chapter 1.6 - Rational Expressions Chapter 2 - Equations And Inequalities Chapter 2.1 - The Rectangular Coordinate Systems And Graphs Chapter 2.2 - Linear Equations In One Variable

Chapter 2.3 - Models And Applications Chapter 2.4 - Complex Numbers Chapter 2.5 - Quadratic Equations Chapter 2.6 - Other Types Of Equations Chapter 2.7 - Linear Inequalities And Absolute Value Inequalities Chapter 3 - Functions Chapter 3.1 - Functions And Function Notation Chapter 3.2 - Domain And Range Chapter 3.3 - Rates Of Change And Behavior Of Graphs Chapter 3.4 - Composition Of Functions Chapter 3.5 - Transformation Of Functions Chapter 3.6 - Absolute Value Functions Chapter 3.7 - Inverse Functions Chapter 4 - Linear Functions Chapter 4.1 - Linear Functions Chapter 4.2 - Modeling With Linear Functions Chapter 4.3 - Fitting Linear Models To Data Chapter 5 - Polynomial And Rational Functions Chapter 5.1 - Quardratic Functions Chapter 5.2 - Power Functions And Polynomial Functions Chapter 5.3 - Graphs Of Polynomial Functions Chapter 5.4 - Dividing Polynomials Chapter 5.5 - Zeros Of Polynomial Functions Chapter 5.6 - Rational Functions Chapter 5.7 - Inverses And Radical Functions Chapter 5.8 - Modeling Using Variation Chapter 6 - Exponential And Logarithmic Functions Chapter 6.1 - Exponential Functions Chapter 6.2 - Graphs Of Exponential Functions Chapter 6.3 - Logarithmic Functions Chapter 6.4 - Graphs Of Logarithmic Functions Chapter 6.5 - Logarithmic Properties Chapter 6.6 - Exponential And Logarithmic Equations Chapter 6.7 - Exponential And Logarithmic Models Chapter 6.8 - Fitting Exponential Models To Data Chapter 7 - Systems Of Equations And Inequalities Chapter 7.1 - Systems Of Linear Equations: Two Variables Chapter 7.2 - Systems Of Linear Equations: Three Variables Chapter 7.3 - Systems Of Nonlinear Equations And Inequalities: Two Variables Chapter 7.4 - Partial Fractions Chapter 7.5 - Matrices And Matrix Operations Chapter 7.6 - Solving Systems With Gaussian Elimination Chapter 7.7 - Solving Systems With Inverses Chapter 7.8 - Solving Systems With Cramer's Rule Chapter 8 - Analytic Geometry Chapter 8.1 - The Ellipse Chapter 8.2 - The Hyperbola Chapter 8.3 - The Parabola Chapter 8.4 - Rotation Of Axis Chapter 8.5 - Conic Sections In Polar Coordinates Chapter 9 - Sequences, Probability And Counting Theory Chapter 9.1 - Sequences And Their Notations Chapter 9.2 - Arithmetic Sequences Chapter 9.3 - Geometric Sequences Chapter 9.4 - Series And Their Notations Chapter 9.5 - Counting Principles Chapter 9.6 - Binomial Theorem Chapter 9.7 - Probability

Book Details

College Algebra provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs. College Algebra guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples - usually several dozen per chapter - offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they've learned. This is a full-color textbook.

Sample Solutions for this Textbook

We offer sample solutions for College Algebra homework problems. See examples below:

Chapter 1, Problem 1RE Chapter 2, Problem 1RE Chapter 3, Problem 1RE Chapter 4, Problem 1RE Chapter 5, Problem 1RE Chapter 6, Problem 1RE Chapter 7, Problem 1RE Chapter 8, Problem 1RE Chapter 9, Problem 1RE

More Editions of This Book

Corresponding editions of this textbook are also available below:

College Algebra By Openstax

ISBN: 9781506698229

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