Unit 8 CIA Review

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 to solve a system of equations by elimination?

Back

It involves adding or subtracting the equations to eliminate one variable, making it easier to solve for the other.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Front

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

Back

It means that the equations represent the same line, and there are countless points that satisfy both equations.

Front

What is the difference between one solution and no solution in a system of equations?

Back

One solution means the lines intersect at a single point, while no solution means the lines are parallel and never intersect.

Front

How can you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships into equations, and set them equal to each other based on the problem's conditions.

Front

What is the significance of the coefficients in a system of equations?

Back

Coefficients determine the slope and position of the lines represented by the equations.

Front

How do you check if a solution is correct for a system of equations?

Back

Substitute the solution back into the original equations to see if both equations are satisfied.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection of the lines represented by each equation on a coordinate plane.

Front

What does it mean for two equations to be dependent?

Back

Dependent equations are those that represent the same line, leading to infinitely many solutions.