Solving Systems of Equations Flashcard

Front

Which ordered pair is the solution of the system graphed below? Options: (2, 0), (8, 0), (-3, 5), (3, 8)

Back

(3, 8)

Front

What type of solution to a system of equations is shown in the graph? Options: one solution, no solution, infinitely many solutions

Back

no solution

Front

Marty graphs a system of equations, but only one line shows on the graph. What could this mean? Options: The system has a unique solution., The system has two solutions., The system has infinitely many solutions., The system has no solution.

Back

The system has infinitely many solutions.

Front

What is the solution? Options: 1, -2, (1, 2), (1, -1)

Back

(1, -1)

Front

What is the solution to the system? Options: (3, -1), (2, -6), No Solution, (6, -2)

Back

(6, -2)

Front

What does it mean when a system of equations has no solutions?

Back

The two lines are parallel

Front

What does it mean when a system of equations has infinite solutions?

Back

The two equations are actually the same line

Front

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

Back

The two lines intersect at one point

Answer explanation

Did you get it?

Don't forget that while two perpendicular lines do in fact have one solution, not every system of equations with one solution has two lines that are perpendicular!

Front

What is the solution? Options: (6, 3), (3, 6), (-6, 3), No solution

Back

(6, 3)

Front

Buzz graphed two lines to find the solution to a system of equations. What is the solution? Options: (-1, 4), (1, -4), (-4, 1), (4, -1)

Back

(1, -4)