Retro Flashcardizz # 12 - Algebra

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (>, <, ≥, ≤). It represents a region of the coordinate plane.

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, depending on whether the inequality is strict (dashed) or inclusive (solid). Then, shade the region that satisfies the inequality.

Front

What does the solution to a system of equations represent?

Back

The solution to a system of equations represents the point(s) where the graphs of the equations intersect, indicating the values of the variables that satisfy all equations simultaneously.

Front

What is the difference between 'No Solution' and 'Infinitely Many Solutions'?

Back

'No Solution' means the equations represent parallel lines that never intersect. 'Infinitely Many Solutions' means the equations represent the same line, so every point on the line is a solution.

Front

How do you represent 'twice the difference of a number and 7' algebraically?

Back

Front

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

Back

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

How do you find the solution to a system of equations graphically?

Back

To find the solution graphically, plot both equations on the same graph and identify the point(s) where they intersect.

Front

What is a system of equations?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.