8.EE.8 Systems of Equations

Front

What is a system of equations?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

How can you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Front

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

Back

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

Front

What is the solution to the system of equations: x − y = 11 and 2x + y = 19?

Back

(10, -1)

Front

What is the graphical representation of the equation y = -2x + 1?

Back

A straight line with a slope of -2 and a y-intercept of 1.

Front

What does the point of intersection of two lines represent in a system of equations?

Back

The solution to the system of equations.

Front

How can you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.