Systems Level 1

Front

What is a system of linear equations?

Back

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

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have no solutions because they never intersect.

Front

What does it mean if two lines are the same in a system of equations?

Back

They have infinitely many solutions because they overlap completely.

Front

What does it mean if two lines intersect at one point in a system of equations?

Back

There is one unique solution to the system.

Front

How do you find the solution of a system of equations graphically?

Back

By plotting the lines on a graph and identifying their intersection point.

Front

What is the solution to the system of equations y = 2x + 3 and y = -x + 1?

Back

(1, 5)

Front

What is the solution to the system of equations y = 3x - 4 and y = 2x + 1?

Back

(5, 11)

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and do not intersect.

Front

What is the slope of the line represented by the equation y = 4x + 2?

Back

4, which indicates the line rises 4 units for every 1 unit it moves to the right.

Front

What is the y-intercept of the line represented by the equation y = -3x + 6?

Back

6, which is the point where the line crosses the y-axis.