algebraic expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

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What are constants in an algebraic expression?

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Constants are fixed values that do not change. In the expression -4x + 6y - 2, the constant is -2.

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What is a coefficient?

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A coefficient is a number that is multiplied by a variable in an algebraic expression. In the expression 3p + 4, the coefficient is 3.

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What are terms in an algebraic expression?

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Terms are the parts of an expression that are added or subtracted. In the expression 4 + 16v, the terms are 4 and 16v.

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What does it mean to simplify an expression?

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To simplify an expression means to combine like terms and reduce it to its simplest form.

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What is a variable in algebra?

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A variable is a symbol, often a letter, that represents an unknown value. For example, in the expression 5x, 'x' is the variable.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

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What is the purpose of parentheses in algebraic expressions?

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Parentheses indicate which operations should be performed first in an expression. For example, in (2 + 3) × 4, you add 2 and 3 before multiplying.

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

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What is a like term?

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Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.