Systems of Linear Equations - Mixed Practice

Front

What is a system of linear equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

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CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system of linear equations?

Back

The solution is represented by the point(s) where the lines intersect.

Tags

CCSS.8.EE.C.8A

Front

What is substitution in the context of solving systems of equations?

Back

Substitution is a method where one variable is solved in terms of the other and substituted into another equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate a variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system to have a unique solution?

Back

A unique solution occurs when the lines intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if a system has infinitely many solutions?

Back

If the equations represent the same line, the system has infinitely many solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to the system of equations represented by y = 2x + 1 and y = -x + 5?

Back

(2, 5) is the solution where the two lines intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the importance of isolating a variable in one equation?

Back

Isolating a variable allows for easier substitution in the other equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6