Algebra Intervention Fall Semester Reviewer

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

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

Back

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

Front

What is the solution to the system of equations 3x + 7y = 23 and -3x - 7y = -17?

Back

No solution.

Front

How do you represent a system of equations for a word problem?

Back

Identify the variables, then create equations based on the relationships described in the problem.

Front

What does it mean if two lines intersect at one point?

Back

It means the system of equations has one unique solution.

Front

What is the graphical representation of the inequality y < 2x + 3?

Back

The graph will show a dashed line for y = 2x + 3, with the area below the line shaded.

Front

How do you determine if a system of equations is consistent or inconsistent?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.

Front

What is the significance of the point of intersection in a system of equations?

Back

The point of intersection represents the solution to the system, where both equations are satisfied.

Front

What is the formula for finding the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the term 'dependent' mean in the context of a system of equations?

Back

Dependent equations are those that represent the same line, resulting in infinitely many solutions.