Systems of Equation Word Problems Lesson

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 two lines in a system of equations intersect?

Back

It means there is a unique solution to the system.

Front

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

Back

It means there is no solution to the system.

Front

What does it mean if two lines in a system of equations are the same line?

Back

It means there are infinitely many solutions to the system.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the equations to eliminate one variable, then solve for the remaining variable.

Front

What is the graphical representation of a system of equations?

Back

The graphs of the equations plotted on the same coordinate plane.

Front

What is the solution to the system of equations y = 2x + 1 and y = -x + 4?

Back

(1, 3) is the solution.

Front

What is the price of an adult ticket if 7 adult tickets and 11 child tickets sold for $227?

Back

Adult ticket price is $12.

Front

What is the price of a child ticket if 7 adult tickets and 11 child tickets sold for $227?

Back

Child ticket price is $13.