OWMS 8th Grade Math Bee

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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 two or more terms inside a set of parentheses.

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What is the Associative Property?

Back

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 is the Commutative Property?

Back

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

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What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by zero equals zero. For example, a × 0 = 0.

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How do you find the difference of two expressions?

Back

To find the difference, subtract the second expression from the first. For example, (2x + 7) - (3(5x - 4) = 2x + 7 - 15x + 12.

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What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 2x^2 + 3x + 5.

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What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It has the form ax + b = c, where a, b, and c are constants.

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What is the solution to the equation 2x + 3 = 11?

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To solve for x, subtract 3 from both sides: 2x = 8. Then divide by 2: x = 4.

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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 reduce it to its simplest form.

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What is a variable in mathematics?

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A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations.