Algebra 1 Regents Flashcard

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does it mean for a point to be in the solution set of an inequality?

Back

A point is in the solution set of an inequality if it satisfies the inequality when substituted into it.

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 the coordinate plane and uses inequality symbols (>, <, ≥, ≤).

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, then shade the region that satisfies the inequality.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

What does the term 'solution set' refer to?

Back

The solution set is the set of all values that satisfy a given equation or inequality.

Front

How can you determine if a point is a solution to a system of inequalities?

Back

Substitute the coordinates of the point into each inequality; if the point satisfies all inequalities, it is a solution.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Front

What does it mean to 'select the best choice' in a multiple-choice question?

Back

It means to evaluate the options provided and choose the one that best answers the question or meets the criteria.