Semester 1 Exam Review Game - Algebra 2 Honors

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way in which numbers are grouped when adding does not change their sum. For example, (a + b) + c = a + (b + c).

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What is a function?

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A function is a relation that assigns exactly one output for each input. If an input has multiple outputs, it is not a function.

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What is a Rational Number?

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A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.75.

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How do you find the formula for a geometric sequence?

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The formula for a geometric sequence can be found using the first term and the common ratio. The general form is a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

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How do you solve the equation -11 + 3(b + 5) = 7?

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To solve for b, first distribute: -11 + 3b + 15 = 7. Combine like terms: 3b + 4 = 7. Then, subtract 4 from both sides: 3b = 3. Finally, divide by 3: b = 1.

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

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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 the difference between a rational and an irrational number?

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Rational numbers can be expressed as fractions of integers, while irrational numbers cannot be expressed as simple fractions. Examples of irrational numbers include √2 and π.

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What is a sequence in mathematics?

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A sequence is an ordered list of numbers that follow a particular pattern or rule. Each number in the sequence is called a term.

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What is the formula for the nth term of an arithmetic sequence?

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The formula for the nth term of an arithmetic sequence is a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.