ALG Unit 6 MIXED PRACTICE

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all the equations true simultaneously.

Front

What does it mean if two lines in a linear system intersect at one point?

Back

It means the system has one unique solution.

Front

What does it mean if two lines in a linear system are parallel?

Back

It means the system has no solution, as the lines never intersect.

Front

What does it mean if two lines in a linear system are the same line?

Back

It means the system has an infinite number of solutions.

Front

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

Back

The break-even point is where total revenue equals total costs, meaning no profit or loss.

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 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.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the meaning of 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 = 0.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.