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1.2 – Evaluate and Simplify Algebraic Expressions

1.2 – Evaluate and Simplify Algebraic Expressions. A numerical expression consists of numbers, operations, and grouping symbols. An expression formed by repeated multiplication of the same factor is a power.

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1.2 – Evaluate and Simplify Algebraic Expressions

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  1. 1.2 – Evaluate and Simplify Algebraic Expressions A numerical expression consists of numbers, operations, and grouping symbols. An expression formed by repeated multiplication of the same factor is a power. A power has two parts: an exponent and a base. The exponent represents the number of times the base is used as a factor. 73 = 7 x 7 x 7

  2. 1.2 – Evaluate and Simplify Algebraic Expressions A variable is a letter that is used to represent one or more numbers. An expression involving variables is called an algebraic expression.

  3. 1.2 – Evaluate and Simplify Algebraic Expressions In an expression that can be written as a sum, the parts added together are called terms. A term that has a variable part is called a variable term. A term that has no variable part is called a constant term. When a term is a product of a number and a power of a variable, the number is called the coefficient of the power.

  4. 1.2 – Evaluate and Simplify Algebraic Expressions An expression is simplified if it contains no grouping symbols and all like terms are combined. Like terms are terms that have the same variable parts.

  5. 1.2 – Evaluate and Simplify Algebraic Expressions Two algebraic expressions are equivalent expressions if they have the same value for all values of their variable(s).

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