Fall Final Review Part 2

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the graphs of the equations intersect.

Front

What does it mean if a system of linear equations has no solution?

Back

It means that the lines representing the equations are parallel and never intersect.

Front

How do you find the slope from a table of values?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) for any two points (x1, y1) and (x2, y2) from the table.

Front

What is the rate of change in a linear function?

Back

The rate of change is the slope of the line, representing how much y changes for a unit change in x.

Front

Back

Front

What is the formula for a linear equation in slope-intercept form?

Back

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into each equation. If the point satisfies all equations, it is a solution.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

How do you write a system of equations from a word problem?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations represent the problem accurately.