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 to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: y = 3x - 8 and y = 4 - x?

Back

(3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the ordered pair that satisfies all equations in a system?

Back

Solution of a system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

(1,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What kind of lines have no solution to a system of equations?

Back

Parallel Lines.

Tags

CCSS.8.EE.C.8A

Front

What is an intersecting line in the context of systems of equations?

Back

Lines that cross at exactly 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

What is a graphical representation of a system of equations?

Back

A graph showing the lines of the equations, where their intersection represents the solution.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines are parallel and never intersect.

Tags

CCSS.8.EE.C.8A