Systems of Linear Equations

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 if a system of equations has no solutions?

Back

The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has exactly one solution?

Back

The lines intersect at a single point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines representing the equations are the same line.

Tags

CCSS.8.EE.C.8A

Front

In the equation y = mx + b, what does 'm' represent?

Back

The slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

In the equation y = mx + b, what does 'b' represent?

Back

The y-intercept of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

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

Back

It is represented by lines on a coordinate plane.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations: x + y = 10 and x - y = 2?

Back

(6, 4) is the solution.

Tags

CCSS.HSA.REI.C.9

Front

What is the first step in solving a system of equations by elimination?

Back

Align the equations and eliminate one variable by adding or subtracting the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6