Flashcard - Systems of Equations

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Tags

CCSS.8.EE.B.6

Front

How do you convert an equation to slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), solve for y in terms of x.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

Back

The y-intercept is 3, which is the value of y when x = 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Back

The solution is the ordered pair (x, y) that satisfies both equations.

Tags

CCSS.HSA.REI.C.9

Front

What is an ordered pair in the context of systems of equations?

Back

An ordered pair (x, y) represents a point on the coordinate plane that is a potential solution to a system of equations.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines represented by the equations.

Tags

CCSS.8.EE.C.8B

Front

What is the term for the point where two lines intersect?

Back

The point of intersection is called the solution to the system of equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6