Linear Inequalities and Regression

Linear Inequalities and Regression

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What are linear inequalities?

Back

Linear inequalities are mathematical expressions that show the relationship between two variables using inequality signs (such as <, >, ≤, or ≥) instead of an equal sign. They represent a range of possible solutions rather than a single solution.

2.

FLASHCARD QUESTION

Front

Are the points on the line part of the solution set for a linear inequality?

Back

Yes, the points on the line are part of the solution set if the inequality is inclusive (e.g., ≤ or ≥). If the inequality is strict (e.g., < or >), the points on the line are not included.

3.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction it is going (positive slope means the line rises, negative slope means it falls).

4.

FLASHCARD QUESTION

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

5.

FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

6.

FLASHCARD QUESTION

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line and has an equal sign (=), while a linear inequality represents a region of solutions and uses inequality signs (<, >, ≤, or ≥).

7.

FLASHCARD QUESTION

Front

What does the graph of a linear inequality look like?

Back

The graph of a linear inequality consists of a boundary line (which may be solid or dashed) and a shaded region that represents all the solutions to the inequality.

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