System of Equations Review

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system of equations to have a solution?

Back

It means there is at least one set of values for the variables that satisfies all equations in the system.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of equations?

Back

The solution is represented by the point(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means the system has no solution because the lines never intersect.

Tags

CCSS.8.EE.C.8B

Front

How can you solve a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point of intersection.

Tags

CCSS.8.EE.C.8B

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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

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

Tags

CCSS.8.EE.C.8A

Front

What is an example of a system of equations with no solution?

Back

y = 2x + 3 and y = 2x - 1 (parallel lines).

Tags

CCSS.8.EE.C.8B

Front

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

Back

Substitute the solution values into each equation to see if they hold true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6