Intermediate Algebra19th EditionLynn Marecek Publisher: OpenStax CollegeISBN: 9780998625720
Intermediate Algebra
Solutions for Intermediate Algebra
Problem 2.1TI:
Determine whether the values are solutions to the equation: 9y+2=6y+3 . (a) y=43 (b) y=13Problem 2.2TI:
Determine whether the values are solutions to the equation: 4x2=2x+1 . (a) x=32 (b) x=12Problem 2.3TI:
Solve: 2(m4)+3=1 .Problem 2.4TI:
Solve: 5(a3)+5=10 .Problem 2.5TI:
Solve: 13(6u+3)=7u .Problem 2.6TI:
Solve: 23(9x12)=8+2x .Problem 2.7TI:
Solve: 6(p3)7=5(4p+3)12 .Problem 2.8TI:
Solve: 8(q+1)5=3(2q4)1 .Problem 2.9TI:
Solve: 6[42(7y1)]=8(138y) .Problem 2.10TI:
Solve: 12[15(4z1)]=3(24+11z) .Problem 2.11TI:
Classify the equation as a conditional equation, an identity, or a contradiction and then state the...Problem 2.12TI:
Classify the equation as a conditional equation, an identity, or a contradiction and then state the...Problem 2.13TI:
Classify the equation as a conditional equation, an identity, or a contradiction and then state the...Problem 2.14TI:
Classify the equation as a conditional equation, an identity, or a contradiction and then state the...Problem 2.15TI:
Classify the equation as a conditional equation, an identity, or a contradiction and then state the...Problem 2.16TI:
Classify the equation as a conditional equation, an identity, or a contradiction and then state the...Problem 2.17TI:
Solve: 14x+12=58 .Problem 2.18TI:
Solve: 18x+12=14 .Problem 2.19TI:
Solve: 7=12x+34x23x .Problem 2.20TI:
Solve: 1=12u+14u23u .Problem 2.21TI:
Solve: 15(n+3)=14(n+2) .Problem 2.22TI:
Solve: 12(m4)=14(m7) .Problem 2.23TI:
Solve: 3r+56+1=4r+33 .Problem 2.24TI:
Solve: 2s+32+1=3s+24 .Problem 2.25TI:
Solve: 0.25n+0.05(n+5)=2.95 .Problem 2.26TI:
Solve: 0.10d+0.05(d5)=2.15 .Problem 1E:
In the following exercises, determine whether the given values are solutions to the equation. 1....Problem 2E:
In the following exercises, determine whether the given values are solutions to the equation. 2....Problem 3E:
In the following exercises, determine whether the given values are solutions to the equation. 3....Problem 4E:
In the following exercises, determine whether the given values are solutions to the equation. 4....Problem 29E:
In the following exercises, solve each linear equation. 29. 5[2(m+4)+8(m7)]=2[3(5+m)(213m)]Problem 30E:
In the following exercises, solve each linear equation. 30. 10[5(n+1)+4(n1)]=11[7(5+n)(253n)]Problem 31E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 32E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 33E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 34E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 35E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 36E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 37E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 38E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 39E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 40E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 41E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 42E:
In the following exercises, classify each equation as a conditional equation, an identity, or a...Problem 43E:
In the following exercises, solve each equation with fraction coefficients. 43. 14x12=34Problem 44E:
In the following exercises, solve each equation with fraction coefficients. 44. 34x12=14Problem 45E:
In the following exercises, solve each equation with fraction coefficients. 45. 56y23=32Problem 46E:
In the following exercises, solve each equation with fraction coefficients. 46. 56y13=76Problem 47E:
In the following exercises, solve each equation with fraction coefficients. 47. 12a+38=34Problem 48E:
In the following exercises, solve each equation with fraction coefficients. 48. 58b+12=34Problem 49E:
In the following exercises, solve each equation with fraction coefficients. 49. 2=13x12x+23xProblem 50E:
In the following exercises, solve each equation with fraction coefficients. 50. 2=35x13x+25xProblem 51E:
In the following exercises, solve each equation with fraction coefficients. 51. 13w+54=w14Problem 52E:
In the following exercises, solve each equation with fraction coefficients. 52. 12a14=16a+112Problem 53E:
In the following exercises, solve each equation with fraction coefficients. 53. 13b+15=25b35Problem 54E:
In the following exercises, solve each equation with fraction coefficients. 54. 13x+25=15x25Problem 55E:
In the following exercises, solve each equation with fraction coefficients. 55. 14(p7)=13(p+5)Problem 56E:
In the following exercises, solve each equation with fraction coefficients. 56. 15(q+3)=12(q3)Problem 57E:
In the following exercises, solve each equation with fraction coefficients. 57. 12(x+4)=34Problem 58E:
In the following exercises, solve each equation with fraction coefficients. 58. 13(x+5)=56Problem 59E:
In the following exercises, solve each equation with fraction coefficients. 59. 4n+84=n3Problem 60E:
In the following exercises, solve each equation with fraction coefficients. 60. 3p+63=p2Problem 61E:
In the following exercises, solve each equation with fraction coefficients. 61. 3x+42+1=5x+108Problem 62E:
In the following exercises, solve each equation with fraction coefficients. 62. 10y23+3=10y+19Problem 63E:
In the following exercises, solve each equation with fraction coefficients. 63. 7u141=4u+85Problem 64E:
In the following exercises, solve each equation with fraction coefficients. 64. 3v62+5=11v45Problem 65E:
In the following exercises, solve each equation with decimal coefficients. 65. 0.4x+0.6=0.5x1.2Problem 66E:
In the following exercises, solve each equation with decimal coefficients. 66. 0.7x+0.4=0.6x+2.4Problem 67E:
In the following exercises, solve each equation with decimal coefficients. 67. 0.9x1.25=0.75x+1.75Problem 68E:
In the following exercises, solve each equation with decimal coefficients. 68. 1.2x0.91=0.8x+2.29Problem 69E:
In the following exercises, solve each equation with decimal coefficients. 69. 0.05n+0.10(n+8)=2.15Problem 70E:
In the following exercises, solve each equation with decimal coefficients. 70. 0.05n+0.10(n+7)=3.55Problem 71E:
In the following exercises, solve each equation with decimal coefficients. 71. 0.10d+0.25(d+5)=4.05Problem 72E:
In the following exercises, solve each equation with decimal coefficients. 72. 0.10d+0.25(d+7)=5.25Problem 73E:
Fencing Micah has 74 feet of fencing to make a dog run in his yard. He wants the length to be 2.5...Problem 74E:
Stamps Paula bought $22.82 worth of 49-cent stamps and 21-cent stamps. The number of 21-cent stamps...Problem 75E:
Using your own words, list the steps in the general strategy for solving linear equations.Problem 76E:
Explain why you should simplify both sides of an equation as much as possible before collecting the...Problem 77E:
What is the first step you take when solving the equation 37(y4)=38 ? Why is this your first step?Problem 78E:
If an equation has several fractions, how does multiplying both sides by the LCD make it easier to...Browse All Chapters of This Textbook
Chapter 1 - FoundationsChapter 1.1 - Use The Language Of AlgebraChapter 1.2 - IntegersChapter 1.3 - FractionsChapter 1.4 - DecimalsChapter 1.5 - Properties Of Real NumbersChapter 2 - Solving Linear EquationsChapter 2.1 - Use A General Strategy To Solve Linear EquationsChapter 2.2 - Use A Problem Solving StrategyChapter 2.3 - Solve A Formula For A Specific Variable
Chapter 2.4 - Solve Mixture And Uniform Motion ApplicationsChapter 2.5 - Solve Linear InequalitiesChapter 2.6 - Solve Compound InequalitiesChapter 2.7 - Solve Absolute Value InequalitiesChapter 3 - Graphs And FunctionsChapter 3.1 - Graph Linear Equations In Two VariablesChapter 3.2 - Slope Of A LineChapter 3.3 - Find The Equation Of A LineChapter 3.4 - Graph Linear Inequalities In Two VariablesChapter 3.5 - Relations And FunctionsChapter 3.6 - Graphs Of FunctionsChapter 4 - Systems Of Linear EquationsChapter 4.1 - Solve Systems Of Linear Equations With Two VariablesChapter 4.2 - Solve Applications With Systems Of EquationsChapter 4.3 - Solve Mixture Applications With Systems Of EquationsChapter 4.4 - Solve Systems Of Equations With Three VariablesChapter 4.5 - Solve Systems Of Equations Using MatricesChapter 4.6 - Solve Systems Of Equations Using DeterminantsChapter 4.7 - Graphing Systems Of Linear InequalitiesChapter 5 - Polynomials And Polynomial FunctionsChapter 5.1 - Add And Subtract PolynomialsChapter 5.2 - Properties Of Exponents And Scientific NotationChapter 5.3 - Multiply PolynomialsChapter 5.4 - Dividing PolynomialsChapter 6 - FactoringChapter 6.1 - Greatest Common Factor And Factor By GroupingChapter 6.2 - Factor TrinomialsChapter 6.3 - Factor Special ProductsChapter 6.4 - General Strategy For Factoring PolynomialsChapter 6.5 - Polynomial EquationsChapter 7 - Rational Expressions And FunctionsChapter 7.1 - Multiply And Divide Rational ExpressionsChapter 7.2 - Add And Subtract Rational ExpressionsChapter 7.3 - Simplify Complex Rational ExpressionsChapter 7.4 - Solve Rational EquationsChapter 7.5 - Solve Applications With Rational EquationsChapter 7.6 - Solve Rational InequalitiesChapter 8 - Roots And RadicalsChapter 8.1 - Simplify Expressions With RootsChapter 8.2 - Simplify Radical ExpressionsChapter 8.3 - Simplify Rational ExponentsChapter 8.4 - Add, Subtract, And Multiply Radical ExpressionsChapter 8.5 - Divide Radical ExpressionsChapter 8.6 - Solve Radical EquationsChapter 8.7 - Use Radicals In FunctionsChapter 8.8 - Use The Complex Number SystemChapter 9 - Quadratic Equations And FunctionsChapter 9.1 - Solve Quadratic Equations Using The Square Root PropertyChapter 9.2 - Solve Quadratic Equations By Completing The SquareChapter 9.3 - Solve Quadratic Equations Using The Quadratic FormulaChapter 9.4 - Solve Quadratic Equations In Quadratic FormChapter 9.5 - Solve Applications Of Quadratic EquationsChapter 9.6 - Graph Quadratic Functions Using PropertiesChapter 9.7 - Graph Quadratic Functions Using TransformationsChapter 9.8 - Solve Quadratic InequalitiesChapter 10 - Exponential And Logarithmic FunctionsChapter 10.1 - Finding Composite And Inverse FunctionsChapter 10.2 - Evaluate And Graph Exponential FunctionsChapter 10.3 - Evaluate And Graph Logarithmic FunctionsChapter 10.4 - Use The Properties Of LogarithmsChapter 10.5 - Solve Exponential And Logarithmic EquationsChapter 11 - ConicsChapter 11.1 - Distance And Midpoint Formulas; CirclesChapter 11.2 - ParabolasChapter 11.3 - EllipsesChapter 11.4 - HyperbolasChapter 11.5 - Solve Systems Of Nonlinear EquationsChapter 12 - Sequences, Series And Binomial TheoremChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences And SeriesChapter 12.4 - Binomial Theorem
Book Details
Intermediate Algebra is designed to meet the scope and sequence requirements of a one-semester intermediate algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. The material is presented as a sequence of clear steps, building on concepts presented in prealgebra and elementary algebra courses.
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