Algebraic Expressions Topic 4 Review

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What is an algebraic expression?

Back

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 does it mean to factor an expression?

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Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression. For example, factoring 6x can give 2 * 3 * x.

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How do you combine like terms in an expression?

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To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power. For example, in 3x + 5x, combine to get 8x.

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What is the distributive property?

Back

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

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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 and variables without an equality sign, while an equation states that two expressions are equal, indicated by an equality sign.

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How do you simplify the expression (12x + 16) - (8x + 4)?

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To simplify, distribute the negative sign and combine like terms: (12x - 8x) + (16 - 4) = 4x + 12.

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What is the sum of (5x - 3y) + (-4x - 2y)?

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Combine like terms: (5x - 4x) + (-3y - 2y) = x - 5y.

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What does it mean for two expressions to be equivalent?

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Two expressions are equivalent if they have the same value for all values of the variables involved. For example, 2(x + 3) and 2x + 6 are equivalent.

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How do you evaluate the expression 6f ÷ 7?

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To evaluate, simply divide 6f by 7, which gives you the expression 6f/7.

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What is the process to solve for a variable in an equation?

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To solve for a variable, isolate the variable on one side of the equation using inverse operations, such as addition, subtraction, multiplication, or division.