Unit 4 Review

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 to solve a system of equations?

Back

To solve a system of equations means to find the values of the variables that satisfy all equations in the system.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation of a system of equations is the point(s) where the lines representing the equations intersect.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

How do you interpret the solution (6, 3) in a real-world context?

Back

The solution (6, 3) represents the values of the variables that satisfy the equations, which can correspond to quantities in a real-world scenario.

Front

What is a linear equation?

Back

Front

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

Back