EL Math 1 - Systems of Linear Equations

Front

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

Back

The graph consists of parallel lines.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

The solution is the point where the two lines intersect at (1, -1).

Tags

CCSS.8.EE.C.8A

Front

Solve by elimination: 4x - 4y = 52 and -8x - 4y = -8.

Back

The solution is (5, -8).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

When should you use the Substitution method to solve a system of equations?

Back

Use the Substitution method when one equation can be easily solved for one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve by elimination: 8x + 4y = 12 and 2x + y = 2.

Back

There is no solution to this system of equations.

Tags

CCSS.8.EE.C.8B

Front

What are the characteristics of intersecting lines in a system of equations?

Back

Intersecting lines have one unique solution where they cross.

Tags

CCSS.8.EE.C.8A

Front

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

Back

It means the equations represent the same line, and every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a system of linear equations?

Back

A system of linear equations is 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 if two lines are parallel in a system of equations?

Back

Parallel lines indicate that the system has no solution.

Tags

CCSS.8.EE.C.8B