Algebra Review - Part 2

Overview

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Continue your algebra review with an in-depth exploration of advanced mathematical concepts and problem-solving techniques. Delve into a wide range of topics, including exponents, geometric volume calculations, function analysis, fractions, motion problems, trigonometry, determinants, logarithms, polynomials, and much more. Master essential algebraic skills such as simplifying expressions, solving equations and inequalities, working with radicals, and understanding various mathematical properties. Enhance your understanding of geometric concepts, including surface area calculations, transformations, and similarity. Explore advanced topics like matrices, synthetic division, and the Pythagorean theorem. Develop a strong foundation in algebraic reasoning and problem-solving strategies applicable to a variety of mathematical scenarios.

Syllabus

Zero Exponent.
Volume of a Pyramid.
Volume of a Prism.
Volume of a Cylinder.
Volume of a Cone.
Vertical Line Test.
Vertex Form.
Adding and Subtracting Unlike Fractions.
Uniform Motion Problems.
Types of Angles.
Trigonometric Ratios (Sine, Cosine, Tangent).
Trichotomy Property.
Triangles.
Transitive Property of Equality.
Transformations.
Third-Order Determinants.
The Natural Base (e).
The Discriminant.
Terms, Coefficients, and Constants.
Systems of Equations.
Synthetic Division.
Symmetric Property of Equality.
Surface Area of Rectangular Prisms.
Surface Area of Cylinders.
Surface Area of a Cone.
Subtraction Property of Equality.
Subtracting Polynomials.
Subtracting Integers.
Substitution.
Substitution Property of Equality.
Standard to Scientific Notation.
Standard Form and Expanded Form.
Perfect Squares and Square Roots.
Square Root Property.
Square Root Inequalities.
Square Root Functions.
Square of a Sum.
Square of a Difference.
Solving Quadratic Systems.
Slope-Intercept Form.
Slope.
Simplifying Radical Expressions.
Simplifying Algebraic Expressions.
Simplification.
Simplest Radical Form.
Simple Interest.
Similar Triangles.
Similar Solids.
Sigma Notation.
Second-Order Determinants.
Scientific to Standard Notation.
Scientific Notation.
Scale Drawings and Scale Models.
Scalar Multiplication of Matrices.
The Remainder Theorem and Synthetic Substitution.
Relative Minimums and Relative Maximums.
Relations.
Reflexive Property of Equality.
Rays, Lines, and Angles.
Ratios and Rates.
Rational Zero Theorem.
Rational Numbers.
Rational Inequalities.
Rational Functions.
Rational Expressions with Unlike Denominators.
Rational Expressions with Like Denominators.
Rational Expressions.
Rational Exponents.
Rational Equations.
Rate of Growth.
Rate of Decay.
Rate of Change.
Range.
Radical Inequalities.
Radical Equations.
Quotient Property of Logarithms.
Quotient Property of Square Roots.
Quotient of Powers.
Quadrilaterals.
Quadratic Inequalities.
Quadratic Functions.
The Quadratic Formula.
Quadratic Equations.
Quadrants.
The Pythagorean Theorem.
Proportions.
Properties of Matrix Multiplication.
Property of Inequality for Logarithmic Functions.
Property of Equality for Logarithmic Functions.
Product of a Sum and a Difference.
Product Property of Logarithms.
Product Property of Square Roots.
Product of Powers.