Algebraic expressions 1

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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, 5x + 2 is an algebraic expression.

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What does 'combining like terms' mean?

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Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power. For example, in 5a + 2b - 3a, you can combine 5a and -3a to get 2a.

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What is a variable in algebra?

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A variable is a symbol, usually a letter, that represents an unknown number. For example, in the expression 3x + 4, 'x' is the variable.

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How do you evaluate an algebraic expression?

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To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the operations. For example, to evaluate 8a - b when a = 10 and b = 6, substitute to get 8(10) - 6 = 74.

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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, using an equality sign.

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What does it mean to simplify an expression?

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Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any possible operations.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

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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 the expression 5x, 5 is the coefficient of x.

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What does 'evaluating' mean in the context of algebra?

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Evaluating means finding the value of an expression by substituting the values of the variables.

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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.