Solving 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.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations graphically?

Back

It means to find the point(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What is substitution 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 that involves adding or subtracting equations 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 is a system of inequalities?

Back

A set of two or more inequalities with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and identify the region where the solutions overlap.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

It means that the point satisfies all equations in the system when substituted into them.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the significance of the intersection point in a system of equations?

Back

The intersection point represents the solution to the system, where all equations are true.

Tags

CCSS.8.EE.C.8A

Front

What is a feasible region in the context of inequalities?

Back

The area on a graph where all the inequalities in a system are satisfied.

Tags

CCSS.HSA.REI.D.12

Front

What is the difference between a consistent and inconsistent system of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.

Tags

CCSS.8.EE.C.8B