Systems of Equations Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is substitution in the context of solving equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

The equations are represented as lines on a graph, and the solution is the point(s) where the lines intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The system has no solution because the lines never intersect.

Tags

CCSS.8.EE.C.8B

Front

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

Back

The system has infinite solutions because the lines are the same.

Tags

CCSS.8.EE.C.8A

Front

How do you determine if a system of equations has one solution?

Back

If the lines intersect at exactly one point, the system has one unique solution.

Tags

CCSS.8.EE.C.8A

Front

What is the elimination method for solving systems of equations?

Back

A method where you add or subtract 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

Back

(1, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Back

(1, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6