Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The lines represented by the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The lines represented by the equations coincide, meaning they are the same line.

Tags

CCSS.8.EE.C.8A

Front

How can you determine if two lines are parallel from their equations?

Back

If the slopes of the lines are equal and the y-intercepts are different, the lines are parallel.

Tags

CCSS.8.EE.B.5

Front

What is the substitution method for solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method for solving systems of equations?

Back

A method where equations are added or subtracted 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 is the graphical method for solving systems of equations?

Back

A method where each equation is graphed on the same coordinate plane, and the solution is the point of intersection.

Tags

CCSS.8.EE.C.8B

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

Rearrange the equation to solve for y in terms of x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3