Algebraic Expressions Review

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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 + 2 is an algebraic expression.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.

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What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. In the expression 3x + 4, the number 4 is a constant.

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Can like terms be combined?

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Yes, like terms can be combined. Like terms are terms that have the same variable raised to the same power.

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What are unlike terms?

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Unlike terms are terms that have different variables or different powers of the same variable. For example, 3x and 4y are unlike terms.

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What is the degree of an algebraic expression?

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The degree of an algebraic expression is the highest power of the variable in the expression. For example, in 2x^3 + 3x^2 + 4, the degree is 3.

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How do you simplify the expression 8a + 7 + 3a + 9?

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Combine like terms: 8a + 3a + 7 + 9 = 11a + 16.

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What does it mean to evaluate an expression?

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To evaluate an expression means to substitute the values of the variables and perform the operations to find a numerical result.

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What is the product of 8 and y represented as an algebraic expression?

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The product of 8 and y is represented as 8y.

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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.