| Unit/Topics |
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Unit 1: Prealgebra Review: Fractions
- classifying numbers
- fractions
- prime factorization
- equivalent fractions
- reduced form
- operations with fractions (add, subtract, multiply, divide)
- least common denominator
- improper fractions
- mixed numbers
- percents
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Unit 2: The real number line and variables.
- real number line
- operations with real numbers (add, subtract, multiply, divide)
- integer exponents
- absolute value
- order of operations
- equivalent algebraic expressions
- factors, terms
- distributive property
- like terms
- simplifying parentheses
- substitution into variable expressions
- inequality and interval notation
- English to algebraic expressions
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Unit 3: Linear Equations and inequalities.
- equivalent equations
- addition, multiplication and division principles
- canceling common factors
- solving equations
- transposing literal equations
- solving linear inequalities
- word problems with equations
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Unit 4: Graphing linear equations and inequalities.
- rectangular coordinate system
- distance formula
- midpoint formula
- slope
- vertical lines, horizontal lines
- parallel and perpendicular lines
- sketching linear equations and inequalities
- equation of linear line (slope-intercept, slope-point, point-point forms)
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Unit 5: Systems of linear equations and inequalities.
- independent and dependent equations
- inconsistent and consistent equations
- method of substitution
- method of elimination
- solving systems of inequalities by sketching
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Unit 6: Exponents and Polynomials.
- rules of exponents
- negative exponents
- operations with polynomials (add, subtract, multiply, divide)
- special cases of multiplication
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Unit 7: Factoring.
- common factors
- factoring by grouping
- factoring quadratics
- prime polynomial
- difference of squares
- perfect squares
- sum and difference of cubes
- zero factor property
- solving quadratic equations
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Unit 8: Rational expressions and equations.
- rational expressions, simplifying
- operations with rational expressions (add, subtract, multiply, divide)
- complex rational expressions
- solving rational equations
- extraneous solutions
- proportion and similar triangles
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Unit 9: Relations and Functions.
- relations
- functions
- domain and range
- functional notation
- vertical line test
- examples of functions
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Unit 10: Rational exponents and radicals.
- rational exponents
- radical expressions
- operations with radicals (add, subtract, multiply, divide)
- rationalizing
- square root function
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Unit 11: Radical equations.
- solving radical equations
- complex numbers
- operations with complex numbers (add, subtract, multiply, divide)
- variation
- absolute value equations and inequalities
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Unit 12: Quadratic Functions.
- quadratic functions (standard and vertex form)
- completing the square
- square root property
- quadratic formula
- discriminant
- solving quadratic equations
- transforming equations into quadratic equations
- sketching quadratics
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| Unit 13: Cumulative Final Exam.
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