Systems of Equations Pre-Test

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 no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Front

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

Back

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

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

What is the graphing method?

Back

A method for solving systems of equations by graphing the equations on the same coordinate plane and identifying the point(s) of intersection.

Front

What is the solution to the system: 8x + 4y = 12 and y = -2x + 3?

Back

Infinitely many solutions.

Front

Which method is NOT used to solve systems of equations?

Back

Difference of Squares.

Front

Solve the system: -1/3x + 4 = 2/3x + 1. What is the solution?

Back

(3, 3).

Front

What is the solution to the system: 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5).