Systems of Equations and Inequalities Review

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

The lines representing the equations are parallel and never intersect.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The lines representing the equations are the same line, overlapping each other.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What does the solution (x, y) represent in a system of equations?

Back

The point where the two lines intersect, indicating the values of x and y that satisfy both equations.

Front

How can you determine if a system of equations has one solution?

Back

If the lines representing the equations intersect at exactly one point.

Front

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

Back

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

Front

How do you find the point of intersection of two lines graphically?

Back

Plot both lines on a graph and identify the point where they cross.

Front

What is the significance of the coefficients in a system of equations?

Back

They determine the slope and position of the lines in the graph.