Systems of Equations

Front

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

Back

The two lines are intersecting lines.

Tags

CCSS.8.EE.C.8A

Front

What does the graph of a system of equations with no solution look like?

Back

The lines are parallel.

Tags

CCSS.8.EE.C.8A

Front

Solve for x and y: y = 2/3x - 2, y = -x + 3

Back

(3, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Are these two lines parallel, perpendicular, or neither? y = -1/4 x - 5, y = 4x + 2

Back

Perpendicular

Tags

CCSS.8.EE.B.6

Front

Solve the system of equations: y = 4x + 1, 3x + 2y = 13

Back

(1, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for two lines to be parallel?

Back

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

Their slopes are negative reciprocals of each other.

Tags

CCSS.8.EE.B.6

Front

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

Back

The equations represent the same line.

Tags

CCSS.8.EE.C.8B

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for a variable and substituting it into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6