Linear Expressions, Equations, & Inequalities Interim Review

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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 does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value of the variable that makes the equation true.

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What type of solution does the equation 12x + 4 = 12x + 8 have?

Back

No Solution. This equation simplifies to 4 = 8, which is false.

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What is an example of an equation with infinite solutions?

Back

An example is 2x + 3 = 2x + 3. Both sides are identical, so any value of x will satisfy the equation.

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What is a linear inequality?

Back

A linear inequality is similar to a linear equation but uses inequality signs (>, <, ≥, ≤) instead of an equal sign.

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Back

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What is the Addition Property of Equality?

Back

The Addition 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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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?

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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 Division Property of Equality?

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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.