Systems and Matrices Review

Front

If a system of equations has no solution, what does the graph 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 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What equations represent the system for ticket sales where 3 senior citizen tickets and 1 child ticket sold for $38, and 3 senior citizen tickets and 2 child tickets sold for $52?

Back

3s + 1c = 38 and 3s + 2c = 52

Tags

CCSS.HSA.CED.A.3

Front

Determine if (4, 1) is a solution for the system of equations y = -x + 5 and y = 2x - 7.

Back

Yes, (4, 1) is a solution.

Front

What does it mean for two lines to be skew?

Back

Skew lines are lines that do not intersect and are not parallel.

Tags

CCSS.HSG.CO.A.1

Front

Define a consistent system of equations.

Back

A consistent system has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The lines coincide (overlap completely).

Tags

CCSS.8.EE.C.8A

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point into each equation; if it satisfies all, it is a solution.

Front

What is the substitution method in solving systems of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6