Systems of Equations and Inequalities Review

Front

What is a system of equations with infinite solutions?

Back

A system of equations that has the same line represented in different forms, meaning every point on the line is a solution.

Front

Solve the system of equations: 2x + 3y = 10 and -2x + y = 14.

Back

(-4, 6)

Front

What inequality corresponds to the graph with a slope of -2 and y-intercept of 2?

Back

y < -2x + 2

Front

How is an inequality using ≤ or ≥ graphed?

Back

Using a solid line to indicate that points on the line are included in the solution.

Front

What does the equation 3 = 4 indicate about a system of equations?

Back

It indicates 'no solution' because the statement is false.

Front

What is a system of equations?

Back

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

Front

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

Back

The lines intersect at exactly one point, which is the solution to the system.

Front

What is the graphical representation of a system of inequalities?

Back

The solution is represented by a shaded region on the graph.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included (≤ or ≥), while a dashed line indicates they are not ( < or >).

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.