Unit 4: Systems of Linear Equations

Front

What is a system of linear equations?

Back

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

Front

What does it mean to solve a system of equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Front

What is the solution of a system of equations?

Back

The values of the variables that make all equations in the system true.

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel and never intersect, the system has no solution.

Front

What is the graphical representation of the equation y = 2x + 2?

Back

A straight line with a slope of 2 and a y-intercept of 2.

Front

What does the slope of a line represent in a linear equation?

Back

The rate of change of y with respect to x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What does it mean for two equations to be equivalent?

Back

They have the same solution set.

Front

How can you check if your solution to a system of equations is correct?

Back

Substitute the solution back into the original equations.