Systems of Equations Word Problems

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

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

Back

The graphs of the equations intersect at exactly one point.

Front

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

Back

The graphs of the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The graphs of the equations are the same line, meaning they intersect at every point.

Front

How can you represent a word problem as a system of equations?

Back

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

Front

What is the graphical representation of intersecting lines?

Back

Two lines that cross at a single point, indicating one unique solution.

Front

What is the graphical representation of parallel lines?

Back

Two lines that run alongside each other without ever meeting, indicating no solution.

Front

What is the graphical representation of the same line?

Back

One line drawn over another, indicating infinitely many solutions.

Front

In the equation d + n = 80, what do d and n represent?

Back

d represents the number of dimes, and n represents the number of nickels.

Front

In the equation 0.10d + 0.05n = 6.60, what does it represent?

Back

It represents the total value of the coins in dollars.