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Rectangular Coordinates, Functions, and Analysis of linear Functions |
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1 | (120) |
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Real Numbers, Logic, and Coordinate Systems |
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2 | (10) |
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Introduction to Relations and Functions |
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12 | (14) |
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26 | (18) |
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Equations of Lines and Geometric Considerations |
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44 | (15) |
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Solution of Linear Equations; Analytic Method and Graphical Support |
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59 | (13) |
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Solution of Linear Inequalities; Analytic Method and Graphical Support |
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72 | (12) |
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84 | (11) |
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Other Applications of Linear Functions |
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95 | (26) |
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110 | (2) |
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112 | (5) |
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117 | (2) |
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Project Modeling The Growth of The World's Tallest Man |
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119 | (2) |
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Analysis of Graphs of Functions |
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121 | (82) |
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Graphs of Elementary Functions and Relations |
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122 | (14) |
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Vertical and Horizontal Shifts of Graphs of Functions |
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136 | (12) |
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Stretching, Shrinking, and Reflecting Graphs of Functions |
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148 | (11) |
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The Absolute Value Function: Graphs, Equations, Inequalities, and Applications |
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159 | (14) |
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Piecewise Defined Functions |
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173 | (9) |
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Further Topics in the Study of Functions |
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182 | (21) |
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193 | (3) |
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196 | (3) |
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199 | (1) |
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Project Modeling a Trip from One Point to Another, Using a Piecewise Defined Function |
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200 | (3) |
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203 | (112) |
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204 | (7) |
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Quadratic Functions and Their Graphs |
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211 | (12) |
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Solution of Quadratic Equations and Inequalities |
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223 | (15) |
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Applications of Quadratic Functions and Models |
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238 | (13) |
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Higher Degree Polynomial Functions and Their Graphs |
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251 | (17) |
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Topics In the theory of Polynomial Functions (I) |
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268 | (11) |
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Topics In The Theory of Polynomial Functions (II) |
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279 | (9) |
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Solution of Polynomial Equations and Inequalities and their Applications |
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288 | (27) |
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304 | (3) |
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307 | (5) |
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312 | (1) |
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Project Creating Your Personal Social Security Polynomial |
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313 | (2) |
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Rational, Root, and Inverse Functions |
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315 | (80) |
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Graphs of Rational Functions |
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315 | (18) |
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Rational Equations, Inequalities, and Applications |
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333 | (15) |
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348 | (13) |
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Root Equations, Inequalities, and Applications |
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361 | (12) |
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373 | (22) |
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386 | (2) |
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388 | (3) |
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391 | (1) |
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Project How Rugged is your Coastline? |
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392 | (3) |
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Exponential and Logarithmic Functions |
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395 | (71) |
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Introduction to Exponential Functions |
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396 | (12) |
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Logarithms and Their Properties |
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408 | (11) |
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Introduction to Logarithmic Functions |
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419 | (11) |
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Exponential and Logarithmic Equations and Inequalities |
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430 | (11) |
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Applications and Modeling with Exponential and Logarithmic Functions |
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441 | (25) |
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457 | (3) |
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460 | (3) |
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463 | (1) |
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Project California's Prison Population |
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464 | (2) |
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The Conic Sections and Parametric Equations |
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466 | (50) |
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467 | (14) |
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481 | (13) |
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Summary of the Conic Sections |
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494 | (10) |
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504 | (12) |
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509 | (2) |
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511 | (2) |
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513 | (1) |
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Project Modeling the Path of a Bouncing Ball using a Piecewise Defined Function |
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514 | (2) |
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Matrices and Systems of Equations and Inequalities |
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516 | (93) |
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517 | (16) |
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Solution of Linear Systems by the Echelon Method |
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533 | (9) |
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Solution of Linear Systems by Row Transformations |
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542 | (11) |
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553 | (12) |
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Determinants and Cramer's Rule |
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565 | (10) |
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Solution of Linear Systems by Matrix Inverses |
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575 | (9) |
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Systems of Inequalities and Linear Programming |
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584 | (10) |
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594 | (15) |
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599 | (2) |
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601 | (3) |
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604 | (2) |
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Project Findings Polynomial that goes Through any Number of Given Points Using A Matrix |
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606 | (3) |
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The Trigonometric Functions and Applications |
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609 | (94) |
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Angles and their Measures |
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610 | (13) |
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623 | (8) |
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The trigonometric Functions and the Fundamental Identities |
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631 | (12) |
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Evaluating Trigonometric Functions |
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643 | (11) |
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Applications of Right Triangle Trigonometry |
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654 | (13) |
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Analysis of the Sine and Cosine Functions |
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667 | (15) |
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Analysis of Other Circular Functions |
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682 | (21) |
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692 | (5) |
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697 | (3) |
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700 | (1) |
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Project What Time is Sunset? |
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701 | (2) |
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Trigonometric Identities and Equations |
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703 | (60) |
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Identities: Analytic Verification and Graphical Support |
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704 | (9) |
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713 | (17) |
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The Inverse Circular Functions |
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730 | (13) |
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Trigonometric Equations and Inequalities |
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743 | (5) |
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Further Equations and Inequalities |
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748 | (15) |
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755 | (2) |
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757 | (3) |
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760 | (1) |
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Project Modelling Damped Pendulum |
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760 | (3) |
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Applications of Trigonometry; Vectors |
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763 | (66) |
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764 | (11) |
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The Law of Cosines and Area Formulas |
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775 | (9) |
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Vectors and Their Applications |
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784 | (11) |
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Trigonometric (Polar) Form of Complex Numbers |
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795 | (9) |
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Powers and Roots of Complex Numbers |
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804 | (6) |
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Polar Coordinates and Polar Equations |
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810 | (19) |
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820 | (3) |
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823 | (3) |
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826 | (1) |
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Project When is a Circle Really a Polygon? Investigating Polar Circles |
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827 | (2) |
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Further Topics in Algebra |
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829 | (65) |
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830 | (8) |
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Arithmetic Sequences and Series |
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838 | (7) |
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Geometric Sequences and Series |
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845 | (10) |
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855 | (7) |
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862 | (6) |
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868 | (9) |
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877 | (17) |
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885 | (4) |
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889 | (2) |
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891 | (1) |
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Project Using Experimental Probabilities to Simulate The Makeup of a Family |
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891 | (3) |
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Reference: Basic Algebraic Concepts |
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894 | |
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Review of Rules for Exponents and Operations with Polynomials |
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894 | (6) |
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900 | (6) |
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Review of Operations with Rational Expressions |
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906 | (7) |
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Review of Negative and Rational Exponents |
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913 | (7) |
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920 | |
| Answers To Selected Exercises |
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A-1 | (1) |
| Index of Applications |
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I-1 | (1) |
| Index |
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I-6 | |