Algebraic Expressions TEST

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What is the Associative Property in algebra?

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The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c).

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What does it mean to combine like terms?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 3x + 4x, you can combine them to get 7x.

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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, 2x + 3 is an algebraic expression.

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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 two or more terms inside a set of parentheses.

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What is a variable in algebra?

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A variable is a symbol, usually a letter, that represents one or more numbers. For example, in the expression x + 5, x is a variable.

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What is the Commutative Property?

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The Commutative Property states that the order in which two numbers are added or multiplied does not change their sum or product. For example, a + b = b + a.

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How do you simplify the expression 11g - 9g + 8g?

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To simplify, combine like terms: 11g - 9g + 8g = (11 - 9 + 8)g = 10g.

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What is the identity property of addition?

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The identity property of addition states that adding zero to any number does not change the number. For example, a + 0 = a.

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How do you solve the expression 40m + 35 for m = 2?

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Substituting m = 2 gives: 40(2) + 35 = 80 + 35 = 115.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.