Topic 3 Test

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What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

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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 perform any operations to reduce it to its simplest form.

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What are like terms?

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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.

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What is a coefficient?

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A coefficient is a numerical factor in a term. For example, in the term 4x, 4 is the coefficient.

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What is a constant in an expression?

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A constant is a fixed value that does not change. For example, in the expression 3x + 5, 5 is a constant.

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How do you combine like terms?

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To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 2x = 5x.

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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 parenthesis.

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What is the difference between an expression and an equation?

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An expression does not have an equal sign and represents a value, while an equation states that two expressions are equal.

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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 numbers for the variables.

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What is a variable in mathematics?

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A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.