A1-U4.2b Lesson Check: Systems of Equations

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 solution to a system of equations?

Back

An ordered pair that satisfies all equations in the system.

Front

What is the graphical representation of a system of equations with one solution?

Back

Two lines that intersect at a single point.

Front

What is the graphical representation of a system of equations with no solution?

Back

Two parallel lines that never intersect.

Front

What is the graphical representation of a system of equations with infinitely many solutions?

Back

Two lines that coincide (are the same line).

Front

How do you solve a system of equations by 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 by elimination?

Back

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

Front

What is the substitution method?

Back

A method for solving systems of equations by replacing one variable with an expression from another equation.

Front

What is the elimination method?

Back

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

Front

If y = 4x - 1 and y = 2x - 5, how do you find the intersection point?

Back

Set 4x - 1 equal to 2x - 5 and solve for x.