Álgebra y Geometría


Ejercicios propuestos para el programa del curso

De los siguientes libros, trabaje la mayor parte de estos problemas:

Algebra 2 (Larson).

1.1 Apply Properties of Real Numbers. 23, 38, 40, 47, 55, 56.
1.2 Evaluate and Simplify Algebraic Expressions. 3, 11, 14, 23, 30, 31, 52, 53, 59.
1.3 Solve Linear Equations. 18, 31, 50, 53, 54, 62, 69, 71, 78, 82.
1.4 Rewrite Formulas ans Equations. 4, 9, 14, 22, 25, 28, 29, 30, 31, 32, 39, 51.
1.5 Use Problem Solving Strategies and Models. 3, 5, 11, 13, 14, 18, 21, 29, 31, 38.
1.6 Solve Linear Inequalities. 11, 12, 13, 18, 21, 27, 30, 32, 33, 36, 39, 42, 46, 48, 49, 51, 52, 56, 59, 60.
1.7 Absolute Value Equations and Inequalities. 10, 19, 29, 30, 32, 36, 38.

A Primer for Logic and Proof.

1.1. Building Blocks. 3, 5, 8 (b, c), 9, 10, 11, 12, 13.
1.2. Tautologies and Contradictions. 1, 3, 4, 6 (a, b, d).
1.3. Logical Equivalence. 1, 2.
1.4. Contrapositives and Converses. 1, 2, 3.
1.5. Analysis of Arguments. 2, 3, 4, 5, 6, 7.

Geometry (Holt, Rinehart, Winston).

1.3 Measuring Angles. 39, 41, 42, 43, 44, 57.
1.4 Geometry Using Paper Folding. 25, 26.
1.5 Special Points in Triangles. 9-20, 27.
1.6 Motion in Geometry. 11, 14, 15, 17, 18, 29, 30, 31.
1.7 Motion in the Coordinate Plane. 10, 13, 15, 17, 19, 20, 22, 24, 25, 28, 32, 33, 35, 44.
2.1 An Introduction to Proofs. 29-31, 33-37, 38.
2.2 An Introduction to Logic. 17-20, 30, 33, 36, 37, 51-53.

Discrete Mathematics and Its Applications (Rosen).

9.1 Relations and Their Properties. 2, 3, 4, 7 (excepto el d).

Algebra 2 (Larson).

2.1 Represent Relations and Functions. 3, 4, 8, 11, 12, 13, 16, 17, 22, 23, 25, 26, 27, 33, 34, 35, 38, 41, 44, 47, 49, 50.
2.2 Find Slope and Rate of Change 6, 9, 10, 11, 15, 16, 17, 18, 19, 20, 23, 25, 27, 37, 38, 45.
2.3 Graph Equation of Lines 3, 4, 8, 15, 17, 20, 23, 25, 28, 33, 34, 37, 38, 47, 55.

3.1 Solve Linear Systems by Graphing 3, 5, 7, 9, 11, 15, 16, 30.
3.2 Solve Linear Systems Algebraically 3, 4, 5, 6, 8, 10.


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