Coordinate Algebra Unit 2 EOC Review

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 (such as <, >, ≤, or ≥). 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 solid line (for ≤ or ≥) or a dashed line (for < or >). Then shade the region that satisfies the inequality.

Front

What does the slope of a line represent in a linear equation?

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.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of y when x = 0 in the equation of the line.

Front

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

Back

To find the solution to a system of linear equations, you can use methods such as graphing, substitution, or elimination. The solution is the point where the lines intersect.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). A relation can have multiple outputs for a single input.

Front

What is the formula for calculating profit?

Back

Profit is calculated using the formula: Profit = Revenue - Costs.

Front

How do you determine the break-even point in a business scenario?

Back

The break-even point is determined by finding the level of sales at which total revenue equals total costs, resulting in zero profit.

Front

What is the significance of the x-value in a linear function?

Back

The x-value in a linear function represents the input or independent variable, which is used to calculate the corresponding y-value (output) based on the function's equation.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and it is decreasing if its output values fall as the input values increase.