GED® Algebra: Expressions & Polynomials Mastery
A GED® Mathematical Reasoning bridge course for algebraic expressions, properties, substitution, equivalent forms, exponent rules, polynomials, factoring, and rational expressions. Students build the symbolic fluency needed before equations, inequalities, functions, and advanced algebra.
📚 Course Curriculum
Algebra begins with expressions. An expression is a mathematical phrase without an equals sign, such as:. An expression can be simplified or evaluated, but it …
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The GED® often asks you to turn a situation into an algebraic expression. Translation is not about memorizing one keyword; it is about preserving meaning …
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To evaluate an expression, replace the variable with a specific number and simplify. Substitution must be careful, especially for negative numbers. Example:. Replace \(x\) with …
Open trial session →Like terms have exactly the same variable part. You may combine their coefficients because they count the same kind of object. Examples:. But \(3x+5\) cannot …
Open trial session →The distributive property says:. A number or expression outside parentheses multiplies every term inside. [[figure:distributive_area_model The area model shows why \(4(x+3)\) becomes \(4x+12\).]]. Examples:. The …
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Two expressions are equivalent if they have the same value for every allowed value of the variable. For example:. are equivalent. The algebraic properties explain …
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Factoring rewrites an expression as multiplication. It is the reverse of distributing. The first factoring move is usually to pull out the greatest common factor …
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Exponent rules are shortcuts for repeated multiplication. They work only when the bases are handled correctly. Product rule:. You add exponents because the repeated factors …
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A polynomial is a sum or difference of terms with whole-number exponents on variables:. [[figure:polynomial_degree The degree of a polynomial is the highest exponent among …
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Adding and subtracting polynomials is combining like terms. Example:. Combine like terms:. Subtraction requires distributing the negative sign:. Rewrite:. Then combine:. To multiply a monomial …
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Factoring a trinomial reverses binomial multiplication. [[figure:factoring_trinomial For \(x^2+5x+6\), find two numbers that multiply to 6 and add to 5.]]. For:. find two numbers that …
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A rational expression is a fraction whose numerator or denominator contains a variable, such as:. [[figure:rational_expression_restriction A rational expression is undefined when its original denominator …
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Course Outcomes
📝 Practice Questions
52 interactive questions with instant feedback and explanations.
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