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Algebra 1 & 2
Examples of
Algebra 1 Concepts
Basic Operations and Properties
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Addition, Subtraction, Multiplication, and Division of Algebraic Expressions.
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Properties of Real Numbers: Commutative, Associative, and Distributive properties.
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Order of Operations (PEMDAS)
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Expressions and Simplification
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Algebraic Expressions: Understanding terms, coefficients, and constants.
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Simplifying Expressions: Combining like terms, expanding, and factoring.
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Evaluating Expressions: Substituting values for variables.
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Linear Equations
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Solving one-step, two-step, and multi-step equations
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Solving for a Variable
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Applications of Linear Equations (word problems)
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Equations with Fractions and Decimals
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Coordinate Plane: Plotting points and graphing lines
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Slope-intercept Form (y = mx + b)
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Graphing Linear Equations
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Understanding Functions: Domain, range, and function notation
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Systems of Equations
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Solving by Graphing, Substitution, and Elimination
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Applications of Systems of Equations (word problems)
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Inequalities
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Solving and Graphing Linear Inequalities
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Compound Inequalities
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Systems of Inequalities​
Algebra 1
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Proficiency in Algebra 1 is fundamental for later studies in geometry, calculus, and other higher-level math subjects.
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​The concepts to the left form the core of most introductory algebra courses, which progressively build students' problem-solving and critical thinking skills.
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Our expert Algebra 1 tutors bring Algebra to life and help students understand real-world applications by employing algebraic expressions, equations, and inequalities.
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Algebra 2
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Examples of
Algebra 2 Concepts
Rational Expressions and Equations
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Simplifying Rational Expressions
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Operations with Rational Expressions (addition, subtraction, multiplication, and division)
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Solving Rational Equations
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Applications of Rational Equations
Exponents and Exponential Functions
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Laws of Exponents (Product, Quotient, Power rules)
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Scientific Notation
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Exponential Growth and Decay
Logarithms
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Understanding Logarithms (inverse of exponentiation)
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Logarithmic Properties (Product, Quotient, and Power rules)
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Solving Exponential and Logarithmic Equations
Sequences and Series
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Arithmetic Sequences: Finding the nth term and sum of terms
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Geometric Sequences: Finding the nth term and sum of terms