A1-U4.3a Lesson Check: Solving Systems w/ Elimination

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 variable.

Front

What is the first step in using the elimination method?

Back

Identify which variable can be easily eliminated by adding or subtracting the equations.

Front

When is it appropriate to use the elimination method?

Back

The elimination method is appropriate when the coefficients of one variable are the same or can be made the same.

Front

What does it mean to multiply an equation by -1 in the elimination method?

Back

Multiplying an equation by -1 reverses the signs of all terms, which can help in eliminating a variable when added to another equation.

Front

What is the result of adding two equations together in the elimination method?

Back

The result is a new equation that may contain only one variable, allowing for easier solving.

Front

What is the purpose of the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for a variable and substituting that expression into another equation.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

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

Back

A system has no solution if the equations represent parallel lines that never intersect.

Front

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

Back

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

Front

What is the graphical representation of a system of equations?

Back

The graphical representation shows the lines of the equations on a coordinate plane, where the intersection point(s) represent the solution(s).