System of Equations Write and Solve Practice

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

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

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

How do you determine the solution of a system of equations graphically?

Back

By plotting the equations on a graph and finding the point(s) where they intersect.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

How can you represent a word problem as a system of equations?

Back

Identify the variables, write equations based on the relationships described, and set them equal to each other.

Front

What is the importance of checking your solution in a system of equations?

Back

To ensure that the solution satisfies all equations in the system.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does 'm' represent in the slope-intercept form of a linear equation?

Back

The slope of the line, indicating how steep it is.