Q2W6 Weekly Flashcard

Front

What does a One Solution system look like on a graph?

Back

A One Solution system is represented by two lines that intersect at exactly one point on a graph.

Front

What is the correct substitution for the equation 2x − 3y = −1 when y = x − 1?

Back

2x − 3(x − 1) = −1.

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, which is (1, -1).

Front

What is the solution to the system of equations graphed by Sage that results in (-3, -8)?

Back

The solution is the point where the two lines intersect, which is (-3, -8).

Front

Which of the following is in standard form: y=10x-7, y-5=3(x-1), 5x-y=12, or 6x+2y-15=0?

Back

5x - y = 12 is in standard form.

Front

Define a system of equations.

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the lines represented by the equations are the same line, overlapping completely.

Front

What is the graphical representation of a system with exactly one solution?

Back

Two lines that intersect at a single point.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.