What is the Addition Property of Equality?

The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal. For example, if $$a = b$$ , then $$a + c = b + c$$ .

What is a linear equation?

A linear equation is an equation that makes a straight line when graphed. It can be written in the form $$y = mx + b$$ , where m is the slope and b is the y-intercept.

What is the Multiplication Property of Equality?

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. For example, if $$a = b$$ , then $$ac = bc$$ .

What is the purpose of solving inequalities?

The purpose of solving inequalities is to find the range of values that satisfy the inequality, which can be represented on a number line or in interval notation.

What is a solution set?

A solution set is the set of all values that satisfy a given equation or inequality. For example, the solution set for $$x

What is the graph of a linear inequality?

The graph of a linear inequality is a region of the coordinate plane that represents all the solutions to the inequality. The boundary line is dashed if the inequality is strict ( ) and solid if it is inclusive (≤ or ≥).

What is the significance of the boundary line in inequalities?

The boundary line in inequalities separates the solutions from non-solutions. It is included in the solution set if the inequality is ≤ or ≥, and excluded if it is .

How do you check your solution for an inequality?

To check your solution for an inequality, substitute a value from the solution set into the original inequality to see if it holds true.

Linear Expressions, Equations, & Inequalities Interim Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear inequality?

Back

2.

FLASHCARD QUESTION

Front

What does it mean if an equation has no solution?

Back

3.

FLASHCARD QUESTION

Front

What is the Subtraction Property of Equality?

Back

4.

FLASHCARD QUESTION

Front

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.

5.

FLASHCARD QUESTION

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side using inverse operations, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

6.

FLASHCARD QUESTION

Front

What is the difference between an equation and an inequality?

Back

7.

FLASHCARD QUESTION

Front

What does it mean for an equation to have infinite solutions?

Back

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