Unit 2 Test 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. Examples include: x > 5, y ≤ 10.

Front

How do you represent a system of equations?

Back

A system of equations is represented by two or more equations that share the same variables. For example: \(x + y = 15\) and \(4x + 2y = 44\).

Front

What does the solution set of an inequality represent?

Back

The solution set of an inequality represents all the values that satisfy the inequality. For example, for \(x < 3\), the solution set includes all numbers less than 3.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations. For example, in \(14x + 55 = 1175\), subtract 55 from both sides and then divide by 14.

Front

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

Back

The slope-intercept form of a linear equation 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 graph?

Back

The y-intercept is the point where the graph of a function crosses the y-axis. It represents the value of the function when the input (x) is zero.

Front

How do you determine if a point is part of the solution set for an inequality?

Back

To determine if a point is part of the solution set, substitute the coordinates of the point into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed. It can be written in the form \(y = mx + b\) or \(Ax + By = C\).

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution in common. This can be represented graphically as intersecting lines.

Front

What is the process for graphing an inequality?

Back

To graph an inequality, first graph the corresponding equation as a line. Then, use a dashed line for < or > and a solid line for ≤ or ≥. Shade the region that satisfies the inequality.