Unit 5 Inequalities & Systems Review

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, or not equal to the other, using symbols like >, <, ≥, or ≤.

Front

What does it mean for a point to be a solution to a system of equations?

Back

A point is a solution to a system of equations if it satisfies all equations in the system, meaning it makes all equations true when substituted.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept and slope, plot the y-intercept on the graph, and use the slope to find another point. Draw a straight line through these points.

Front

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

Back

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, meaning they have no solutions in common.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

How can you determine if a system of equations has no solution?

Back

A system of equations has no solution if the lines represented by the equations are parallel, meaning they never intersect.

Front

What is the graphical representation of the inequality @@y eq mx + b@@?

Back

Front

What is the solution set of the inequality @@y eq 2x + 3@@?

Back

Front

How do you solve a system of equations by substitution?

Back

To solve by substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.