A no-nonsense, practical guide to help you improve your algebra skills with solid instruction and plenty of practice, practice, practice Practice Makes Perfect: Algebra presents thorough coverage of skills, such as handling decimals and fractions, functions, and linear and quadratic equations. Inside you will find the help you need for boosting your skills, preparing for an exam or re-introducing yourself to the subject. More than 500 exercises and answers covering all aspects of algebra will get you on your way to mastering algebra!
Author(s): Carolyn Wheater
Edition: 1
Publisher: McGraw-Hill
Language: English
Pages: 191
Tags: Математика;Общая алгебра;
Contents......Page 6
Introduction......Page 10
The real numbers......Page 12
Properties of real numbers......Page 13
Integers......Page 15
Order of operations......Page 16
Using variables......Page 17
Evaluating expressions......Page 18
Addition and subtraction equations......Page 20
Two-step equations......Page 21
Variables on both sides......Page 22
Absolute value equations......Page 23
Mixture problems: coffee, coins, cars, and chemicals......Page 24
Simple inequalities......Page 28
Compound inequalities......Page 29
Absolute value inequalities......Page 30
The coordinate plane......Page 32
Distance......Page 33
Slope and rate of change......Page 34
Graphing linear equations......Page 35
Graphing linear inequalities......Page 37
Graphing absolute value equations......Page 38
Writing linear equations......Page 39
Parallel and perpendicular lines......Page 40
Graphing systems of equations......Page 42
Graphing systems of inequalities......Page 43
Solving systems of equations by substitution......Page 44
Solving systems of equations by combination......Page 45
Combinations with multiplication......Page 46
Dependent and inconsistent systems......Page 47
Rules for exponents......Page 50
More rules......Page 51
Monomials and polynomials......Page 52
Adding and subtracting polynomials......Page 53
Multiplying polynomials......Page 54
Dividing polynomials......Page 58
Greatest common monomial factor......Page 60
Factoring x[sup(2)] + bx + c......Page 61
Factoring ax[sup(2)] + bx + c......Page 62
Special factoring patterns......Page 63
Simplifying radical expressions......Page 66
Solving radical equations......Page 68
Graphing square root equations......Page 70
Solving by square roots......Page 72
Completing the square......Page 73
The quadratic formula......Page 74
Solving by factoring......Page 75
Graphing quadratic functions......Page 76
Using ratios and extended ratios......Page 80
Solving proportions......Page 81
Variation......Page 82
Joint and combined variation......Page 83
Simplifying rational expressions......Page 86
Multiplying rational expressions......Page 87
Dividing rational expressions......Page 88
Adding and subtracting rational expressions......Page 89
Complex fractions......Page 90
Solving rational equations......Page 91
Graphing rational functions......Page 94
Work problems......Page 96
Compound interest......Page 98
Exponential growth and decay......Page 99
Graphing the exponential functions......Page 100
13 Matrix algebra......Page 102
Rows and columns......Page 103
Addition and subtraction......Page 104
Scalar multiplication......Page 109
Matrix multiplication......Page 112
Determinants......Page 118
Inverses......Page 120
Solving systems with matrices......Page 128
Answers......Page 138
