System of Equations - Substitution-Elimination-Graphing

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What are the three methods to solve a system of equations?

Back

Substitution, Elimination, and Graphing.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the 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 does the graph of a consistent system of equations look like?

Back

Two lines that intersect at one point.

Tags

CCSS.8.EE.C.8A

Front

What does the graph of an inconsistent system of equations look like?

Back

Two parallel lines that do not intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of the solution to the system 7x - y = -10 and -7x + 5y = -6?

Back

The point (x, y) where the two lines intersect.

Tags

CCSS.8.EE.C.8B

Front

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

Back

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

Tags

CCSS.8.EE.C.8C