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## Skill## in## ALGEBRA
12. Signed numbers The absolute value and the algebraic sign. Subtracting a larger number from a smaller. The number line. The negative of any number. 13. Adding and subtracting signed numbers "Adding" a negative number. Naming terms. The rule for adding terms. Subtracting a negative number. 14. Multiplying and dividing signed numbers The Rule of Signs. The rule of symmetry. Commutative rules. Inverses. Two rules for equations. The Definition of Division. Rules for 0. Parentheses. Brackets. Braces. 19. Linear equations Inverse operations. The four forms of equations. Transposing. A logical sequence of statements. 10. Word problems 11. Inequalities 12. Absolute value 13. Exponents I Adding exponents. Power of a product. Multiplying exponents. 14. Multiplying out: The distributive rule 15. Common factor The definition of a Products of binomials. Quadratics in different arguments. The square of a trinomial. Completing the square. 19. The difference of two squares Summary of Multiplying/Factoring. Rational expressions. The principle of equivalent fractions. Reducing to lowest terms. Subtracting exponents. Negative exponents. Exponent 0. Scientific notation. 22. Multiplying and dividing algebraic fractions Complex fractions. 23. Adding algebraic fractions The Lowest Common Multiple (LCM) of a series of terms. Clearing of fractions. 25. Word problems that lead to equations with fractions
26. Radicals: Rational and irrational numbers Square roots. Equations
28. Multiplying and dividing radicals Conjugate pairs. The index of a radical. Fractional exponent. 30. Complex numbers The real and imaginary components. Conjugate pairs. Actual versus potential infinities. 32. The Pythagorean distance formula The distance of a point from the origin. The distance between any two points. 33. The equation of a straight line The equation of the first degree. 34. The slope of a straight line The point-slope formula. The two-point formula. 35. Simultaneous linear equations The method of addition. The method of substitution. Cramer's Rule. Three equations in three unknowns. 36. Word problems that lead to simultaneous equations Investment problems. Mixture problems. The 38. Logarithms Definition. The three laws of logarithms. Common logarithms. 39. Variation Direct variation. The constant of proportionality. Varies as the square. Varies inversely. Varies as the inverse square. www.proyectosalonhogar.com |