Math 1 EL Unit 4 Test Systems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.

Front

How do you represent a system of equations graphically?

Back

A system of equations can be represented graphically by plotting each equation on the same coordinate plane. The point(s) where the lines intersect represent the solution(s) to the system.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines representing the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

A system of equations has infinitely many solutions when the equations represent the same line, meaning every point on the line is a solution.

Front

What is the substitution method for solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the elimination method for solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.

Front

How do you check if a solution is correct for a system of equations?

Back

To check if a solution is correct, substitute the values of the variables back into the original equations. If both equations are satisfied, the solution is correct.

Front

What is a linear equation?

Back

Front

What is the slope of a line?

Back

Front

What is the y-intercept of a line?

Back