DCP #2 Review Retest

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

What is simple interest?

Back

Simple interest is a method of calculating the interest charge on a loan or financial product. It is calculated using the formula: Interest = Principal x Rate x Time.

Front

How do you calculate the total amount in a savings account with simple interest?

Back

Total Amount = Principal + (Principal x Rate x Time). For example, if the principal is $40,000, the rate is 11%, and the time is 3 years, the total amount would be $53,200.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input (x-value) corresponds to more than one output (y-value).

Front

How do you determine if an equation has the same slope as another?

Back

To determine if two equations have the same slope, compare their coefficients of x. If they are equal, the slopes are the same.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as 'b' in the slope-intercept form of a line (y = mx + b).

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What is the formula for the slope of a line given two points?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change in real-world scenarios, such as speed, cost per item, or growth rates.