Systems of Equations

Front

What is a system of equations?

Back

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

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has one solution?

Back

The lines represented by the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines represented by the equations are the same line.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if two lines are parallel from their equations?

Back

If the slopes of the lines are equal and the y-intercepts are different.

Tags

CCSS.8.EE.B.5

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines on a coordinate plane.

Tags

CCSS.8.EE.C.8A

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.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

How do you write a system of equations from a word problem?

Back

Identify the variables, translate the relationships into equations, and write them as a system.

Tags

CCSS.8.EE.C.8C

Front

What is the importance of the coefficients in a system of equations?

Back

They represent the rate of change or the relationship between the variables.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B