Proyecto Salón Hogar
Terms versus factors. The function of parentheses. The order of operations. The value of a letter. What it means to evaluate an expression.
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.
"Adding" a negative number. Naming terms. The rule for adding terms. Subtracting a negative number.
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
12. Absolute value
13. Exponents I
Adding exponents. Power of a product. Multiplying exponents.
15. Common factor
The definition of a polynomial in x.
Products of binomials.
Quadratics in different arguments.
The square of a trinomial. Completing the square.
Summary of Multiplying/Factoring.
Rational expressions. The principle of equivalent fractions. Reducing to lowest terms.
Subtracting exponents. Negative exponents. Exponent 0. Scientific notation.
The Lowest Common Multiple (LCM) of a series of terms.
Clearing of fractions.
Same time problems: Upstream-downstream.
Square roots. Equations x² = a. Rationalizing a denominator. Real numbers.
The index of a radical. Fractional exponent.
30. Complex numbers
The real and imaginary components. Conjugate pairs.
Actual versus potential infinities.
The distance of a point from the origin. The distance between any two points.
The equation of the first degree.
The point-slope formula. The two-point formula.
The method of addition. The method of substitution. Cramer's Rule. Three equations in three unknowns.
Investment problems. Mixture problems.
The roots of a quadratic. Solution by factoring. Completing the square. The quadratic formula.
Definition. The three laws of logarithms. Common logarithms.
Direct variation. The constant of proportionality. Varies as the square. Varies inversely. Varies as the inverse square.