Systems of Equations Test - General

Front

What are the three methods we have learned to solve Systems of Equations?

Back

Graphing, Substitution, and Elimination.

Front

Use the substitution method to solve the system: 2x + 3y = 12 and x - y = 1. What is the solution?

Back

(6, -5)

Front

Solve the system using the substitution method: 3x + 2y = 12 and x - y = 3. What is the solution?

Back

(3, 6)

Front

Steffen graphed two lines in order to find the solution to a given system of equations. What is the solution if the lines intersect at (-3,-8)?

Back

(-3,-8)

Front

Which method of solving System of Equations requires you to 'cancel out'?

Back

Elimination.

Front

What is the definition of 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 be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation is the intersection point(s) of the lines representing the equations.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.