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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 1RE:

For the following exercises, perform the given operations. 1.(532)26

Problem 2RE:

For the following exercises, perform the given operations. 2.64(28)+147

Problem 3RE:

For the following exercises, perform the given operations. 3.252+62

Problem 4RE:

For the following exercises, solve the equation. 4.5x+9=11

Problem 5RE:

For the following exercises, solve the expression. 5. 2y+42=64

Problem 6RE:

For the following exercises, simplify the expression. 6.9(y+2)32+1

Problem 7RE:

For the following exercises, simplify the expression. 7.3m(4+7)m

Problem 8RE:

For the following exercises, identify the number as rational, irrational, whole, or natural. Choose...

Problem 9RE:

For the following exercises, identify the number as rational, irrational, whole, or natural. Choose...

Problem 10RE:

For the following exercises, identify the number as rational, irrational, whole, or natural. Choose...

Problem 11RE:

For the following exercises, identify the number as rational, irrational, whole, or natural. Choose...

Problem 12RE:

For the following exercises, simplify the expression. 12.2224

Problem 13RE:

For the following exercises, simplify the expression. 13.4543

Problem 14RE:

For the following exercises, simplify the expression. 4.( a 2 b 3 )4

Problem 15RE:

For the following exercises, simplify the expression. 15.6a2a02a4

Problem 16RE:

For the following exercises, simplify the expression. 16.(xy)4y32x5

Problem 17RE:

For the following exercises, simplify the expression. 17.42x3y32x0

Problem 18RE:

For the following exercises, simplify the given expression. 18.( 2 x 2 y)2

Problem 19RE:

For the following exercises, simplify the expression. 19.(16a3b2)(4ab1)2

Problem 20RE:

For the following exercises, simplify the expression. 20. Write the number in standard notation:...

Problem 21RE:

For the following exercises, simplify the expression. 21. Write the number in scientific notation:...

Problem 22RE:

For the following exercises, find the principal square root. 22.121

Problem 23RE:

For the following exercises, find the principal square root. 23.196

Problem 24RE:

For the following exercises, find the principal square root. 24.361

Problem 25RE:

For the following exercises, find the principal square root. 25.75

Problem 26RE:

For the following exercises, find the principal square root. 26.162

Problem 27RE:

For the following exercises, find the principal square root. 27.3225

Problem 28RE:

For the following exercises, find the principal square root. 28.8081

Problem 29RE:

For the following exercises, find the principal square root. 29.491250

Problem 30RE:

For the following exercises, find the principal square root. 30.24+2

Problem 31RE:

For the following exercises, find the principal square root. 31.43+63

Problem 32RE:

For the following exercises, find the principal square root. 32.125135

Problem 33RE:

For the following exercises, find the principal square root. 33.2435

Problem 34RE:

For the following exercises, find the principal square root. 34.250383

Problem 35RE:

For the following exercises, perform the given operations and simplify. 35.(3x3+2x1)+(4x22x+7)

Problem 36RE:

For the following exercises, perform the given operations and simplify. 36.(2y+1)(2y22y5)

Problem 37RE:

For the following exercises, perform the given operations and simplify. 37.(2x2+3x6)+(3x24x+9)

Problem 38RE:

For the following exercises, perform the given operations and simplify. 38.(6a2+3a+10)(6a23a+5)

Problem 39RE:

For the following exercises, perform the given operations and simplify. 39.(k+3)(k6)

Problem 40RE:

For the following exercises, perform the given operations and simplify. 40.(2h+1)(3h2)

Problem 41RE:

For the following exercises, perform the given operations and simplify. 41.(x+1)(x2+1)

Problem 42RE:

For the following exercises, perform the given operations and simplify. 42.(m2)(m2+2m3)

Problem 43RE:

For the following exercises, perform the given operations and simplify. 43.(a+2b)(3ab)

Problem 44RE:

For the following exercises, perform the given operations and simplify. 44.(x+y)(xy)

Problem 45RE:

For the following exercises, find the greatest common factor. 45.81p+9pq27p2q2

Problem 46RE:

For the following exercises, find the greatest common factor. 46.12x2y+4xy218xy

Problem 47RE:

For the following exercises, find the greatest common factor. 47.88a3b+4a2b144a2

Problem 48RE:

For the following exercises, factor the polynomial. 48.2x29x18

Problem 49RE:

For the following exercises, factor the polynomial. 49.8a2+30a27

Problem 50RE:

For the following exercises, factor the polynomial. 50.d25d66

Problem 51RE:

For the following exercises, factor the polynomial. 51.x2+10x+25

Problem 52RE:

For the following exercises, factor the polynomial. 52.y26y+9

Problem 53RE:

For the following exercises, factor the polynomial. 53.4h212hk+9k2

Problem 54RE:

For the following exercises, factor the polynomial. 54.361x2121

Problem 55RE:

For the following exercises, factor the polynomial. 55.p3+216

Problem 56RE:

For the following exercises, factor the polynomial. 56.8x3125

Problem 57RE:

For the following exercises, factor the polynomial. 57.64q327p3

Problem 58RE:

For the following exercises, factor the polynomial. 58.4x(x1)14+3(x1)34

Problem 59RE:

For the following exercises, factor the polynomial. 59.3p(p+3)138(p3)43

Problem 60RE:

For the following exercises, factor the polynomial. 60.4r(2r1)235(2r1)13

Problem 61RE:

For the following exercises, simplify the expression. 61.x2x12x28x+16

Problem 62RE:

For the following exercises, simplify the expression. 62.4y2254y220y+25

Problem 63RE:

For the following exercises, simplify the expression. 63.2a2a32a26a85a219a410a213a3

Problem 64RE:

For the following exercises, simplify the expression. 64.d4d29d3d216

Problem 65RE:

For the following exercises, simplify the expression. 65.m2+5m+62m25m32m2+3m94m24m3

Problem 66RE:

For the following exercises, simplify the expression. 66.4d27d26d217d+108d2+6d+16d2+7d10

Problem 67RE:

For the following exercises, simplify the expression. 67.10x+6y

Problem 68RE:

For the following exercises, simplify the expression. 68.12a2+2a+13a21

Problem 69RE:

For the following exercises, simplify the expression. 69.1d+2c6c+12ddc

Problem 70RE:

For the following exercises, simplify the expression. 70. 3x7y2x

Problem 1PT:

For the following exercises, identify the number as rational, irrational, whole, or natural. Choose...

Problem 2PT:

For the following exercises, identify the number as rational, irrational, whole, or natural. Choose...

Problem 3PT:

For the following exercises, evaluate the equations. 3.2(x+3)12=18

Problem 4PT:

For the following exercises, evaluate the equations. 4.y(3+3)226=10

Problem 5PT:

For the following exercises, evaluate the equations. 5. Write the number in standard notation:...

Problem 6PT:

For the following exercises, evaluate the equations. 6. Write the number in scientific notation:...

Problem 7PT:

For the following exercises, simplify the expression. 7.2(2+32)2+144

Problem 8PT:

For the following exercises, simplify the expression. 8.4(x+3)(6x+2)

Problem 9PT:

For the following exercises, simplify the expression. 9. 3533

Problem 10PT:

For the following exercises, simplify the expression. 10.(23)3

Problem 11PT:

For the following exercises, simplify the expression. 11.8x3(2x)2

Problem 12PT:

For the following exercises, simplify the expression. 12.(16y0)2y2

Problem 13PT:

For the following exercises, simplify the expression. 13.441

Problem 14PT:

For the following exercises, simplify the expression. 14.490

Problem 15PT:

For the following exercises, simplify the expression. 15.9x16

Problem 16PT:

For the following exercises, simplify the expression. 16.121b21+b

Problem 17PT:

For the following exercises, simplify the expression. 17.624+754126

Problem 18PT:

For the following exercises, simplify the expression. 18.836254

Problem 19PT:

For the following exercises, simplify the given expression. 19.(13q3+2q23)(6q2+5q3)

Problem 20PT:

For the following exercises, simplify the expression. 20.(6p2+2p+1)+(9p21)

Problem 21PT:

For the following exercises, simplify the given expression. 21.(n2)(n24n+4)

Problem 22PT:

For the following exercises, simplify the expression. 22.(a2b)(2a+b)

Problem 23PT:

For the following exercises, factor the polynomial. 23.16x281

Problem 24PT:

For the following exercises, factor the polynomial. 24.y2+12y+36

Problem 25PT:

For the following exercises, factor the polynomial. 25.27c31331

Problem 26PT:

For the following exercises, factor the polynomial. 26.3x(x6)14+2(x6)34

Problem 27PT:

For the following exercises, simplify the expression. 27.2z2+7z+3z294z215z+94z21

Problem 28PT:

For the following exercises, simplify the expression. 28. xy+2x

Problem 29PT:

For the following exercises, simplify the expression. 29. a2b2b9a3a2b6a

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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