## Skill## in## ALGEBRAThe four operations and their signs. 12. Signed numbers: Positive and negative The absolute value and the algebraic sign. 13. Adding and subtracting signed numbers "Adding" a negative number. 14. Multiplying and dividing signed numbers The Rule of Signs. The definition of reciprocals. The definition of division. Rules for 0. The rule of symmetry. Commutative rules. Inverses. Parentheses. Brackets. Braces. 19. Linear equations The law of inverses. 10. Word problems 11. Inequalities 12. Absolute value Absolute value equations. 13. Exponents Powers of a number. 14. Multiplying out: The distributive rule 15. Common factor The definition of a Quadratic trinomials. Quadratics in different arguments. Perfect square trinomials. 19. The difference of two squares Summary of Multiplying/Factoring. Rational expressions. The principle of equivalent fractions. Reducing to lowest terms. Subtracting 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 The whole is equal to the sum of the parts. 26. Radicals: Rational and irrational numbers Square roots.
28. Multiplying and dividing radicals Conjugate pairs. Roots of numbers. The index of a radical. 30. Complex, or imaginary, numbers The square root of a negative number. Straight lines. 32. The Pythagorean distance formula The distance of a point from the origin. 33. The equation and graph of a straight line The equation of the first degree and its graph. 34. The slope of a straight line The slope intercept form of the equation of a straight line.
The general form. 35. Simultaneous linear equations The method of addition. The method of substitution. Cramer's Rule: The method of determinants. 36. Word problems that lead to simultaneous equations Investment problems. Mixture problems. The 38. Logarithms Definition. The three laws of logarithms. 39. Variation Direct variation. The constant of proportionality. |