Systems of Equations

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 does it mean for a solution to a system of equations?

Back

An ordered pair that satisfies all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Tags

CCSS.8.EE.C.8A

Front

What are parallel lines in the context of systems of equations?

Back

Lines that never intersect and have no solution.

Tags

CCSS.8.EE.C.8A

Front

What are intersecting lines in a system of equations?

Back

Lines that cross at one point, representing a unique solution.

Tags

CCSS.8.EE.C.8A

Front

What are overlapping lines in a system of equations?

Back

Lines that lie on top of each other, representing infinitely many solutions.

Tags

CCSS.8.EE.C.8A

Front

How do you solve a system of equations using substitution?

Back

Replace one variable with an expression from another 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 equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system: y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system: y = -x + 2 and y = 3x - 4?

Back

(2, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6