The four operations and their signs.
The absolute value and the algebraic sign.
"Adding" a negative number.
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
12. Absolute value
Absolute value equations.
Powers of a number.
15. Common factor
The definition of a polynomial in x.
Quadratics in different arguments.
Perfect square trinomials.
Summary of Multiplying/Factoring.
Rational expressions. The principle of equivalent fractions. Reducing to lowest terms.
Subtracting exponents. Exponent 0. Scientific notation.
The Lowest Common Multiple (LCM) of a series of terms.
Clearing of fractions.
The whole is equal to the sum of the parts.
Roots of numbers. The index of a radical.
The square root of a negative number.
Actual versus potential infinities.
The distance of a point from the origin.
The equation of the first degree and its graph.
The slope intercept form of the equation of a straight line.
The general form.
The method of addition. The method of substitution. Cramer's Rule: The method of determinants.
Investment problems. Mixture problems.
The roots of a quadratic.
Definition. The three laws of logarithms.
Direct variation. The constant of proportionality.
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Copyright © 2015 Lawrence Spector
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