Systems of Equations & Systems of Inequalities KWJ May 2025

Front

What is a system of equations?

Back

Two or more equations that work together to solve a problem.

Front

When you graph the exact same equation twice, what is the result?

Back

You will have infinite solutions.

Front

What is the solution to the system of equations: y = 1/2x + 2 and y = -3x + 9?

Back

(2, 3)

Front

When graphing an inequality, which symbols require a solid line?

Back

≤, ≥

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the lines intersect.

Front

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

Back

There is no solution.

Front

What is the difference between a system of equations and a system of inequalities?

Back

A system of equations has exact solutions, while a system of inequalities has a range of solutions.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point into each equation; if it satisfies all, it's a solution.

Front

What is the graphical representation of a linear inequality?

Back

A shaded region on one side of a line.

Front

What does the slope of a line represent in a system of equations?

Back

The rate of change between the variables.