Algebra systems of equations

Front

What is the solution to the system of equations?

Back

(-2, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Define a system of equations.

Back

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

Tags

CCSS.HSA.REI.C.8

Front

What is the method of solving a system of equations by taking a variable out and replacing it with an expression?

Back

Systems by Substitution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Which system of equations represents the situation: There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all?

Back

x + y = 15 and 4x + 2y = 44

Tags

CCSS.HSA.CED.A.3

Front

What is the method to solve a system of equations by getting rid of one of the variables first?

Back

Systems by Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the variable 'x' represent in a system of equations?

Back

'x' typically represents one of the unknown values we are trying to solve for.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the variable 'y' represent in a system of equations?

Back

'y' typically represents the second unknown value we are trying to solve for.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines representing the equations.

Tags

CCSS.8.EE.C.8B

Front

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

Back

It means the lines are parallel and do not intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

It means the equations represent the same line.

Tags

CCSS.8.EE.C.8A