ACT MATHEMATICS REVIEW

PRE-ALGEBRA

• Sets
• Subsets
• Operations on Sets Union, Intersection, Complement
• Numbers
  1. Natural
  2. Whole
  3. Integers
  4. Rational
  5. Irrational
  6. Real
• Numeration Systems
• Axioms of Real Numbers
  1. Closure
  2. Commutative
  3. Associative
  4. Identify
  5. Inverse
  6. Distributive
• Order of Operation Rules
• Operations with Signed Numbers
  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division
  5. Exponentiation
  6. Roots
• Divisibility
• Prime and Composite Numbers
• Factorization
• Factors and Multiples
  1. Least Common Multiple
  2. Greatest Common Divisior
• Proper and Improper Fractions
• Mixed Numbers
• Operations with Fractions
  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division
• Exponents with Fractions
• Complex Fractions
• Operations with Decimals
  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division
• Percents
  1. Percents to Fractions
  2. Fractions to Percents
  3. Decimals to Percents
  4. Percents to Decimals
• Proportion
• Statistics
  1. Range
  2. Mean
  3. Median
  4. Mode
• Probability

ALGEBRA AND COORDINATE GEOMETRY

• Constants and Variables
• Equations
• Inequalities
• Polynomials
• Operations on Polynomials
  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division
  5. Factoring
• Difference of Squares
• Difference of Cubes
• Quadratic Equations
• The Quadratic Formula
• Fractions
• Operations on Polynomials
  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division
• Word Problems
• Exponents
• Radicals
• Operations on Radicals
  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division
• Radical Equations
• Graphing
• Distance Formula
• Midpoint Formula
• Linear Equations
• Conic Sections
  1. Circle
  2. Ellipse
  3. Parabola
  4. Hyperbola
• Degenerate Forms
• Functions
• System of Equations
• Nonlinear Systems
• Exponential and Logarithmic Functions
• Sequence and Series
• The Binomial Theorem
• Complex Numbers

GEOMETRY

• Lines
• Angles
• Polygons
• Triangles
• Quadrilaterals
• Relationships among Chords, Secants, and Tangents

TRIGONOMETRY

• Angles
• Definitions of Trignometric Functions
• Applications of Trignometric Functions
• Graphs
• Trignometric Identities
• Inverse Trigonometric Functions

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