System of Equations Word Problems

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

Solve the following system by graphing. What is the solution? (x + y = 6, x - y = 2)

Back

(4, 2)

Front

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

Back

Van 14, Bus 43

Front

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

Back

5 multiple choice

Front

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Back

Sugar Cookies $4, Oatmeal Cookies $8

Front

What is a system of equations?

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The equations represent the same line, so every point on the line is a solution.

Front

How can you solve a system of equations graphically?

Back

By plotting the equations on a graph and identifying the point of intersection.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.