Front

What is a system of equations?

Back

A system of equations is 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 for an ordered pair to be a solution to a system of equations?

Back

An ordered pair (x, y) is a solution to a system of equations if it satisfies all equations in the system when substituted for x and y.

Front

How do you determine if an ordered pair is a solution to a given equation?

Back

Substitute the x and y values of the ordered pair into the equation. If both sides of the equation are equal, then it is a solution.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation of a system of equations is the intersection point(s) of the lines represented by the equations on a coordinate plane.

Tags

CCSS.8.EE.C.8B

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression 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

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

If two lines are parallel, it means they have no points of intersection, indicating that the system has no solution.

Tags

CCSS.8.EE.C.8A

Front

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

Back

If two lines coincide, they lie on top of each other, indicating that there are infinitely many solutions to the system.

Tags

CCSS.8.EE.C.8A

Front

How can you identify the solution of a system of equations graphically?

Back

The solution can be identified as the point where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What is an inequality in the context of systems of equations?

Back

An inequality is a mathematical statement that compares two expressions, indicating that one is greater than, less than, or equal to the other.

Tags

CCSS.HSA.REI.C.7