Ch 3 Test Review (Algebraic Expressions/Distributive Property)

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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 (like +, -, *, /). For example, 3x + 5 is an algebraic expression.

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What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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How do you simplify the expression 7x + 3x?

Back

You combine like terms: 7x + 3x = 10x.

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What is the difference of two numbers?

Back

The difference of two numbers is the result of subtracting one number from another. For example, the difference of 12 and c is 12 - c.

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How do you evaluate an expression?

Back

To evaluate an expression, substitute the values of the variables into the expression and perform the operations. For example, to evaluate 3a + 2 when a = 4, substitute 4 for a: 3(4) + 2 = 12 + 2 = 14.

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What is a coefficient in an algebraic expression?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.

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What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any possible operations to make the expression easier to understand or work with.

Front

What is the equivalent expression for 25x + 40y?

Back

5(5x + 8y) is an equivalent expression for 25x + 40y.

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How do you apply the distributive property to 3(2 + 4)?

Back

Using the distributive property, 3(2 + 4) = 3*2 + 3*4 = 6 + 12 = 18.

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What is a variable in mathematics?

Back

A variable is a symbol (often a letter) that represents an unknown value in an expression or equation. For example, in the expression 2x + 3, x is a variable.