2024 Keystone Algebra I Module I Sampler

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.

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What is the elimination method in solving systems of equations?

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The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

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What does the commutative property of addition state?

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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 additive property of equality?

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The additive property of equality states that if you add the same number to both sides of an equation, the two sides remain equal.

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How do you isolate a variable in an equation?

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To isolate a variable, you perform inverse operations to get the variable on one side of the equation and the constant on the other.

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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 does not change their sum. For example, (a + b) + c = a + (b + c).

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What is the purpose of rewriting an equation?

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Rewriting an equation can help simplify it or make it easier to solve by isolating a variable or eliminating terms.

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What is a solution set?

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A solution set is the set of all possible solutions that satisfy a given equation or inequality.

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What is the process of simplifying square roots?

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To simplify square roots, factor the number under the root into its prime factors and look for pairs of factors to take out of the root.