Alg - 1st Semester Final (2024-2025)

Front

What is the definition of slope in a linear equation?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line, and is calculated as the ratio of the change in y (rise) to the change in x (run).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the solution to the system of equations -6x + 5y = 5 and 6x - 3y = 9?

Back

The solution is (5, 7).

Front

What does it mean if a linear equation has no solution?

Back

A linear equation has no solution if the lines represented by the equations are parallel and never intersect.

Front

What is a linear-quadratic function?

Back

A linear-quadratic function is a function that combines a linear equation and a quadratic equation, typically represented as y = ax^2 + bx + c.

Front

How do you determine the percent of a group that meets a certain criterion?

Back

To find the percent, divide the number of individuals meeting the criterion by the total number of individuals surveyed, then multiply by 100.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the coordinate plane that satisfies the inequality.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, then shade the region that satisfies the inequality.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.