IM Alg. Unit 2 FULL Review

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What is the Division Property of Equality?

Back

The Division Property of Equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

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What is the difference between systems of equations and systems of inequalities?

Back

Systems of equations can have one solution, no solution, or infinite solutions, while systems of inequalities can have a range of solutions.

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What is the Given property in proofs?

Back

The Given property refers to the information that is provided in a problem or proof that serves as the starting point for reasoning.

Front

What does the inequality x < -1 represent graphically?

Back

The inequality x < -1 represents all values of x that are less than -1, which is shown as a shaded region to the left of -1 on a number line.

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Back

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What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

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What is the Multiplication Property of Equality?

Back

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

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What is the Transitive Property of Equality?

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The Transitive Property of Equality states that if a = b and b = c, then a = c.

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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 that are solved together.

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What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables that are solved together.