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 can be solved together.

Front

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

Back

The lines representing the equations intersect at exactly one point.

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines representing the equations are the same line, meaning they intersect at every point.

Front

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

Back

Identify the variables, write equations based on the relationships described, and ensure they reflect the problem's conditions.

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

What is the purpose of using a system of equations in word problems?

Back

To find the values of unknowns that satisfy multiple conditions simultaneously.

Front

How can you check if your solution to a system of equations is correct?

Back

Substitute the solution back into the original equations to see if they hold true.

Front

What is the first step in solving a system of equations?

Back

Identify the variables and write the equations based on the problem statement.

Front

What does the term 'variables' refer to in a system of equations?

Back

Symbols used to represent unknown quantities that we want to solve for.