8MA - First Semester Review (all)

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols such as <, >, ≤, or ≥.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does it mean if a function has a positive association?

Back

A positive association means that as one variable increases, the other variable also increases.

Front

What does it mean if a function has a negative association?

Back

A negative association means that as one variable increases, the other variable decreases.

Front

What is a linear equation?

Back

Front

How do you write an equation for total cost?

Back

To write an equation for total cost, identify fixed costs and variable costs, then combine them. For example, total cost = fixed cost + (variable cost per item × number of items).

Front

What is the slope in a linear equation?

Back

The slope in a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the rise over run.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you determine the maximum number of items you can purchase with a budget?

Back

To determine the maximum number of items you can purchase, subtract fixed costs from the total budget and then divide by the variable cost per item.

Front

What is the difference between fixed costs and variable costs?

Back

Fixed costs do not change with the level of production or sales (e.g., rent), while variable costs change directly with the level of production or sales (e.g., materials).