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The Resource 1,001 pre-calculus practice problems for dummies, by Mary Jane Sterling

1,001 pre-calculus practice problems for dummies, by Mary Jane Sterling

Label
1,001 pre-calculus practice problems for dummies
Title
1,001 pre-calculus practice problems for dummies
Statement of responsibility
by Mary Jane Sterling
Title variation
  • One thousand and one pre-calculus practice problems for dummies
  • Pre-calculus for dummies
Creator
Author
Subject
Genre
Language
eng
Summary
This handy guide gives you opportunities to gain confidence in your math skills. The pre-calculus problems are ranked from easy to hard, and are accompanied by detailed explanations and step-by-step solutions for each one
Member of
Cataloging source
UKMGB
Dewey number
515.076
Illustrations
illustrations
Index
index present
LC call number
QA303.2
LC item number
.S723 2014
Literary form
non fiction
Series statement
For Dummies
Label
1,001 pre-calculus practice problems for dummies, by Mary Jane Sterling
Instantiates
Publication
Copyright
Note
Includes index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Introduction -- pt. I. The questions -- 1. Getting started with algebra basics -- Identifying which system or systems a number belongs to -- Recognizing properties of number systems -- Simplifying expression with the order of operations -- Graphing inequalities -- Graphing formulas -- 2. Solving some equations and inequalities -- Using interval and inequality notation -- Solving linear inequalities -- Solving quadratic inequalities -- Solving absolute value inequalities -- Working with radicals and fractional notation -- Performing operations using fractional exponents -- Factoring using fractional notation -- Solving radical equations -- Rationalizing denominators -- 3. Function basics -- Using function notation to evaluate function values -- Determining the domain and range of a function -- Recognizing even functions -- Identifying odd functions -- Ruling out even and odd functions -- Recognizing one-to-one functions from given relations -- Identifying one-to-one functions from equations -- A function's inverse -- Executing operations on functions -- Performing function composition -- Using the difference quotient -- 4. Graphing and transforming functions -- Functions and their inverses -- Sketching quadratic functions from their equations -- Writing equations from graphs of parabolas -- Graphing radical functions -- Absolute value functions -- Graphs of polynomial functions -- Rational f unctions -- Transformation of functions -- Transforming selected points using functions -- Sketching graphs using basic functions and transformations -- 5. Polynomials -- Using factoring to solve quadratic equations -- Solving quadratic equations by using the quadratic formula -- Using completing the square to solve quadratic equations -- Solving polynomial equations for intercepts -- Using factoring by grouping to solve polynomial equations -- Descartes's Rule of Signs -- Listing possible roots of a polynomial equations -- dividing polynomials -- Using synthetic division to divide polynomials -- Checking for toots of a polynomial by using synthetic division -- Writing polynomial expression from given roots -- Writing polynomial expressions when given roots and a point -- Graphing polynomials -- Writing equations from graphs of polynomials -- 6. Exponential and logarithmic functions -- 7. Function notation -- Graphing exponential functions -- Solving exponential equations -- Rewriting logarithmic expressions -- Rewriting logs of products and quotients as sums and differences -- Solving logarithmic equations -- Applying function transformations to log functions -- Applying logarithms to everyday life -- 7. Trigonometry basics -- Using right triangles to determine trig functions -- Solving problems by using right triangles and their functions -- Working with special right triangles -- Changing radians to degrees -- Changing degrees to radians -- Finding angle measures in standard position -- Identifying reference angles -- Determining trig functions by using the unit circle -- Calculating trig functions by using other functions and terminal side positions -- Using the arc length formula -- evaluating inverse functions -- Solving trig equations for x in degrees -- Calculating trig equations for x in radians -- 8. Graphing trig functions -- Recognizing basic trig graphs -- graphing sine and cosine -- Applying function transformations to graphs of trig functions -- Writing new trig functions using transformations -- Graphing tangent and cotangent -- Interpreting transformations of trig functions -- Graphing secant and cosecant -- Interpreting transformations from function rules -- 9. Getting started with trig identities -- Proving basic trig identities -- Returning to basic sine and cosine to solve identities -- Using multiplication by a conjugate to solve identities -- Solving identities after raising a binomial to a power -- Solving identities after factoring out a common function -- Solving identities after combining fractions -- Performing algebraic processes to make identities more solvable
  • 10. Continuing with trig identities -- Using identities that add or subtract angle measures -- Double-angle identities -- Using identities that double the size of the angle -- Confirming the statements of multiple-angle identities -- Creating half-angle identities from double-angle identities -- Creating a half-angle for tangent -- Using half-angle identities to simplify expressions -- Creating products of trig functions from sums and differences -- Using product-to-sum identities to evaluate expressions -- Using sum-to-product identities to evaluate expressions -- Applying power-reducing identities -- Using identities to determine values of functions at various angles -- Working through identities using multiple methods -- 11. Working with triangles and trigonometry -- Applying the Law of Sines to find sides -- Utilizing the Law of Sine to find angles -- Using the Law of Sines for practical applications -- determining all angles and sides of a triangle -- Finding side measures by using the Law of Cosines -- Using the Law of Cosines to determine an angle -- Applying the Law of Cosines to real-world situations -- Finding areas of triangles by using the sine -- Applying the trig formula for area of a triangle -- Using the trig formula for area in various situations -- Solving area problems needing additional computations -- Finding areas of triangles by using Heron's Formula -- Tackling practical applications by using triangular formulas -- 12. Complex numbers and polar coordinates -- Writing powers of i in their simplest form -- Adding and subtracting complex numbers -- Multiplying complex numbers -- Using multiplication to divide complex numbers -- Solving quadratic equations with complex solutions -- Graphing complex numbers -- Identifying points with polar coordinates -- Identifying points whose angles have negative measures -- Converting polar to rectangular coordinates -- Converting rectangular to polar coordinates -- Recognizing polar curves -- 13. Conic sections -- Identifying conics from their equations -- Rewriting conic equations in standard form -- Writing equations for circles -- determining foci and axes of symmetry of parabolas -- Finding the vertices and directrixes of parabolas -- Writing equations of parabolas -- Determining centers and foci of ellipses -- Writing equations of ellipses -- Determining asymptotes of hyperbolas -- Writing equations of hyperbolas -- Changing equation format from trig functions algebraic -- Changing equation format from algebraic to trig -- 14. Systems of equations and inequalities -- Using substitution to solve systems of linear equations with two variables -- Using elimination to solve systems of linear equations with two variables -- Solving systems of equations involving nonlinear functions -- Solving systems of linear equations -- Solving systems of linear equations with four variables -- Graphing systems of inequalities -- Decomposition of fractions -- Operating on matrices -- Changing matrices to the echelon form -- Solving systems of equations using augmented matrices -- Solving systems of equations using the inverse of the coefficient matrix -- Applying Cramer's Rule to solve systems of equations -- 15. Sequences and series -- Finding terms of sequences -- Rules for sequences -- Recursively defined sequences -- Adding terms in an arithmetic series -- Summing terms of a series -- Finding rules and summing terms of a series -- Calculating the sum of a geometric series -- determining formulas and finding sums -- Counting items by using combinations -- Constructing Pascal's Triangle -- Utilizing the binomial theorem -- 16. Introducing limits and continuity -- Determining limits from graphs -- Determining one-sided limits -- Determining limits from function values -- Determining limits from function rules -- Applying Laws of Limits -- Investigating continuity -- pt. II. The answers -- 17. Answers
Control code
ocn887935824
Dimensions
26 cm.
Extent
x, 533 pages
Isbn
9781118853320
Lccn
2014936392
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)887935824
Label
1,001 pre-calculus practice problems for dummies, by Mary Jane Sterling
Publication
Copyright
Note
Includes index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Introduction -- pt. I. The questions -- 1. Getting started with algebra basics -- Identifying which system or systems a number belongs to -- Recognizing properties of number systems -- Simplifying expression with the order of operations -- Graphing inequalities -- Graphing formulas -- 2. Solving some equations and inequalities -- Using interval and inequality notation -- Solving linear inequalities -- Solving quadratic inequalities -- Solving absolute value inequalities -- Working with radicals and fractional notation -- Performing operations using fractional exponents -- Factoring using fractional notation -- Solving radical equations -- Rationalizing denominators -- 3. Function basics -- Using function notation to evaluate function values -- Determining the domain and range of a function -- Recognizing even functions -- Identifying odd functions -- Ruling out even and odd functions -- Recognizing one-to-one functions from given relations -- Identifying one-to-one functions from equations -- A function's inverse -- Executing operations on functions -- Performing function composition -- Using the difference quotient -- 4. Graphing and transforming functions -- Functions and their inverses -- Sketching quadratic functions from their equations -- Writing equations from graphs of parabolas -- Graphing radical functions -- Absolute value functions -- Graphs of polynomial functions -- Rational f unctions -- Transformation of functions -- Transforming selected points using functions -- Sketching graphs using basic functions and transformations -- 5. Polynomials -- Using factoring to solve quadratic equations -- Solving quadratic equations by using the quadratic formula -- Using completing the square to solve quadratic equations -- Solving polynomial equations for intercepts -- Using factoring by grouping to solve polynomial equations -- Descartes's Rule of Signs -- Listing possible roots of a polynomial equations -- dividing polynomials -- Using synthetic division to divide polynomials -- Checking for toots of a polynomial by using synthetic division -- Writing polynomial expression from given roots -- Writing polynomial expressions when given roots and a point -- Graphing polynomials -- Writing equations from graphs of polynomials -- 6. Exponential and logarithmic functions -- 7. Function notation -- Graphing exponential functions -- Solving exponential equations -- Rewriting logarithmic expressions -- Rewriting logs of products and quotients as sums and differences -- Solving logarithmic equations -- Applying function transformations to log functions -- Applying logarithms to everyday life -- 7. Trigonometry basics -- Using right triangles to determine trig functions -- Solving problems by using right triangles and their functions -- Working with special right triangles -- Changing radians to degrees -- Changing degrees to radians -- Finding angle measures in standard position -- Identifying reference angles -- Determining trig functions by using the unit circle -- Calculating trig functions by using other functions and terminal side positions -- Using the arc length formula -- evaluating inverse functions -- Solving trig equations for x in degrees -- Calculating trig equations for x in radians -- 8. Graphing trig functions -- Recognizing basic trig graphs -- graphing sine and cosine -- Applying function transformations to graphs of trig functions -- Writing new trig functions using transformations -- Graphing tangent and cotangent -- Interpreting transformations of trig functions -- Graphing secant and cosecant -- Interpreting transformations from function rules -- 9. Getting started with trig identities -- Proving basic trig identities -- Returning to basic sine and cosine to solve identities -- Using multiplication by a conjugate to solve identities -- Solving identities after raising a binomial to a power -- Solving identities after factoring out a common function -- Solving identities after combining fractions -- Performing algebraic processes to make identities more solvable
  • 10. Continuing with trig identities -- Using identities that add or subtract angle measures -- Double-angle identities -- Using identities that double the size of the angle -- Confirming the statements of multiple-angle identities -- Creating half-angle identities from double-angle identities -- Creating a half-angle for tangent -- Using half-angle identities to simplify expressions -- Creating products of trig functions from sums and differences -- Using product-to-sum identities to evaluate expressions -- Using sum-to-product identities to evaluate expressions -- Applying power-reducing identities -- Using identities to determine values of functions at various angles -- Working through identities using multiple methods -- 11. Working with triangles and trigonometry -- Applying the Law of Sines to find sides -- Utilizing the Law of Sine to find angles -- Using the Law of Sines for practical applications -- determining all angles and sides of a triangle -- Finding side measures by using the Law of Cosines -- Using the Law of Cosines to determine an angle -- Applying the Law of Cosines to real-world situations -- Finding areas of triangles by using the sine -- Applying the trig formula for area of a triangle -- Using the trig formula for area in various situations -- Solving area problems needing additional computations -- Finding areas of triangles by using Heron's Formula -- Tackling practical applications by using triangular formulas -- 12. Complex numbers and polar coordinates -- Writing powers of i in their simplest form -- Adding and subtracting complex numbers -- Multiplying complex numbers -- Using multiplication to divide complex numbers -- Solving quadratic equations with complex solutions -- Graphing complex numbers -- Identifying points with polar coordinates -- Identifying points whose angles have negative measures -- Converting polar to rectangular coordinates -- Converting rectangular to polar coordinates -- Recognizing polar curves -- 13. Conic sections -- Identifying conics from their equations -- Rewriting conic equations in standard form -- Writing equations for circles -- determining foci and axes of symmetry of parabolas -- Finding the vertices and directrixes of parabolas -- Writing equations of parabolas -- Determining centers and foci of ellipses -- Writing equations of ellipses -- Determining asymptotes of hyperbolas -- Writing equations of hyperbolas -- Changing equation format from trig functions algebraic -- Changing equation format from algebraic to trig -- 14. Systems of equations and inequalities -- Using substitution to solve systems of linear equations with two variables -- Using elimination to solve systems of linear equations with two variables -- Solving systems of equations involving nonlinear functions -- Solving systems of linear equations -- Solving systems of linear equations with four variables -- Graphing systems of inequalities -- Decomposition of fractions -- Operating on matrices -- Changing matrices to the echelon form -- Solving systems of equations using augmented matrices -- Solving systems of equations using the inverse of the coefficient matrix -- Applying Cramer's Rule to solve systems of equations -- 15. Sequences and series -- Finding terms of sequences -- Rules for sequences -- Recursively defined sequences -- Adding terms in an arithmetic series -- Summing terms of a series -- Finding rules and summing terms of a series -- Calculating the sum of a geometric series -- determining formulas and finding sums -- Counting items by using combinations -- Constructing Pascal's Triangle -- Utilizing the binomial theorem -- 16. Introducing limits and continuity -- Determining limits from graphs -- Determining one-sided limits -- Determining limits from function values -- Determining limits from function rules -- Applying Laws of Limits -- Investigating continuity -- pt. II. The answers -- 17. Answers
Control code
ocn887935824
Dimensions
26 cm.
Extent
x, 533 pages
Isbn
9781118853320
Lccn
2014936392
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(OCoLC)887935824

Library Locations

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      1790 Douglas St. NE, Washington, DC, 20018, US
      38.9234096 -76.9791283
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