Introductory Algebra: An Applied Approach

Front Cover......Page 1
Title Page......Page 5
Copyright......Page 6
Contents......Page 7
Preface......Page 15
AIM and Succeed......Page 16
Prep Test......Page 35
Objective A: To use inequality symbols with integers......Page 36
Objective B: To use opposites and absolute value......Page 38
Objective A: To add integers......Page 42
Objective B: To subtract integers......Page 43
Objective C: To solve application problems......Page 45
Objective A: To multiply integers......Page 50
Objective B: To divide integers......Page 52
Objective C: To solve application problems......Page 54
Objective A: To evaluate exponential expressions......Page 57
Objective B: To use the Order of Operations Agreement to simplify expressions......Page 58
Objective A: To factor numbers......Page 63
Objective B: To find the prime factorization of a number......Page 64
Objective C: To find the least common multiple and greatest common factor......Page 65
Objective A: To write a rational number in simplest form and as a decimal......Page 68
Objective B: To add rational numbers......Page 70
Objective C: To subtract rational numbers......Page 72
Objective D: To solve application problems......Page 73
Objective A: To multiply rational numbers......Page 79
Objective B: To divide rational numbers......Page 81
Objective C: To convert among percents, fractions, and decimals......Page 83
Objective D: To solve application problems......Page 84
Objective A: To find the measures of angles......Page 90
Objective B: To solve perimeter problems......Page 92
Objective C: To solve area problems......Page 93
Prep Test......Page 111
Objective A: To evaluate a variable expression......Page 112
Objective A: To simplify a variable expression using the Properties of Addition......Page 116
Objective B: To simplify a variable expression using the Properties of Multiplication......Page 118
Objective C: To simplify a variable expression using the Distributive Property......Page 119
Objective D: To simplify general variable expressions......Page 121
Objective A: To translate a verbal expression into a variable expression, given the variable......Page 126
Objective B: To translate a verbal expression into a variable expression and then simplify......Page 127
Objective C: To translate application problems......Page 129
Prep Test......Page 147
Objective A: To determine whether a given number is a solution of an equation......Page 148
Objective B: To solve an equation of the form x + a = b......Page 149
Objective C: To solve an equation of the form ax = b......Page 150
Objective D: To solve application problems using the basic percent equation......Page 152
Objective E: To solve uniform motion problems......Page 156
Objective A: To solve an equation of the form ax + b = c......Page 167
Objective B: To solve application problems using formulas......Page 170
Objective A: To solve an equation of the form ax + b = cx + d......Page 179
Objective B: To solve an equation containing parentheses......Page 180
Objective C: To solve application problems using formulas......Page 182
Objective A: To solve integer problems......Page 187
Objective B: To translate a sentence into an equation and solve......Page 189
Objective A: To solve problems involving angles......Page 194
Objective B: To solve problems involving the angles of a triangle......Page 196
Objective A: To solve value mixture problems......Page 201
Objective B: To solve percent mixture problems......Page 203
Objective C: To solve uniform motion problems......Page 205
Prep Test......Page 225
Objective A: To add polynomials......Page 226
Objective B: To subtract polynomials......Page 227
Objective A: To multiply monomials......Page 230
Objective B: To simplify powers of monomials......Page 231
Objective B: To multiply two polynomials......Page 234
Objective C: To multiply two binomials using the FOIL method......Page 235
Objective D: To multiply binomials that have special products......Page 236
Objective E: To solve application problems......Page 237
Objective A: To divide monomials......Page 242
Objective B: To write a number in scientific notation......Page 247
Objective B: To divide polynomials......Page 252
Prep Test......Page 269
Objective A: To factor a monomial from a polynomial......Page 270
Objective B: To factor by grouping......Page 272
Objective A: To factor a trinomial of the form x2 + bx + c......Page 276
Objective B: To factor completely......Page 278
Objective A: To factor a trinomial of the form ax2 + bx + c by using trial factors......Page 284
Objective B: To factor a trinomial of the form ax2 + bx + cby grouping......Page 286
Objective A: To factor the difference of two squares and perfect-square trinomials......Page 292
Objective B: To factor completely......Page 294
Objective A: To solve equations by factoring......Page 300
Objective B: To solve application problems......Page 302
Prep Test......Page 321
Objective A: To simplify a rational expression......Page 322
Objective B: To multiply rational expressions......Page 323
Objective C: To divide rational expressions......Page 325
Objective A: To find the least common multiple (LCM) of two or more polynomials......Page 330
Objective B: To express two fractions in terms of the LCM of their denominators......Page 331
Objective A: To add or subtract rational expressions with the same denominators......Page 334
Objective B: To add or subtract rational expressions with different denominators......Page 335
Objective A: To simplify a complex fraction......Page 343
Objective A: To solve an equation containing fractions......Page 348
Objective A: To solve a proportion......Page 352
Objective C: To solve problems involving similar triangles......Page 353
Objective A: To solve a literal equation for one of the variables......Page 360
Objective A: To solve work problems......Page 364
Objective B: To use rational expressions to solve uniform motion problems......Page 366
Prep Test......Page 385
Objective A: To graph points in a rectangular coordinate system......Page 386
Objective B: To determine ordered-pair solutions of an equation in two variables......Page 388
Objective C: To determine whether a set of ordered pairs is a function......Page 390
Objective D: To evaluate a function......Page 393
Objective A: To graph an equation of the form y = mx + b......Page 398
Objective B: To graph an equation of the form Ax = By + C......Page 400
Objective C: To solve application problems......Page 403
Objective A: To find the x- and y-intercepts of a straight line......Page 408
Objective B: To find the slope of a straight line......Page 409
Objective C: To graph a line using the slope and the y-intercept......Page 412
Objective A: To find the equation of a line given a point and the slope......Page 418
Objective B: To find the equation of a line given two points......Page 419
Objective C: To solve application problems......Page 421
Prep Test......Page 437
Objective A: To solve a system of linear equations by graphing......Page 438
Objective A: To solve a system of linear equations by the substitution method......Page 446
Objective B: To solve investment problems......Page 450
Objective A: To solve a system of linear equations by the addition method......Page 456
Objective A: To solve rate-of-wind or rate-of-current problems......Page 462
Objective B: To solve application problems using two variables......Page 463
Prep Test......Page 479
Objective A: To write a set using the roster method......Page 480
Objective B: To write and graph sets of real numbers......Page 481
Objective A: To solve an inequality using the Addition Property of Inequalities......Page 487
Objective B: To solve an inequality using the Multiplication Property of Inequalities......Page 488
Objective C: To solve application problems......Page 490
Objective A: To solve general inequalities......Page 495
Objective B: To solve application problems......Page 496
Objective A: To graph an inequality in two variables......Page 499
Prep Test......Page 513
Objective A: To simplify numerical radical expressions......Page 514
Objective B: To simplify variable radical expressions......Page 516
Objective A: To add and subtract radical expressions......Page 520
Objective A: To multiply radical expressions......Page 524
Objective B: To divide radical expressions......Page 525
Objective A: To solve an equation containing a radical expression......Page 530
Objective B: To solve application problems......Page 532
Prep Test......Page 547
Objective A: To solve a quadratic equation by factoring......Page 548
Objective B: To solve a quadratic equation by taking square roots......Page 550
Objective A: To solve a quadratic equation by completing the square......Page 554
Objective A: To solve a quadratic equation by using the quadratic formula......Page 560
Objective A: To graph a quadratic equation of the form y = ax2 + bx + c......Page 564
Objective A: To solve application problems......Page 569
Final Exam......Page 586
Appendix A: Keystroke Guide for the TI-84 Plus......Page 591
Appendix B: Tables......Page 599
Solutions to “You Try It”......Page 603
Answers to Selected Exercises......Page 631
Glossary......Page 665
Index......Page 669
Index of Applications......Page 677