REVIEW ALGEBRA 2 - SEMESTER 1

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

What is substitution in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is elimination in solving systems of equations?

Back

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

Front

How do you find the common difference in an arithmetic sequence?

Back

Subtract the first term from the second term. For example, in the sequence -34, -29, -24, -19, the common difference is -29 - (-34) = 5.

Front

What does it mean for a variable to be eliminated in a system of equations?

Back

It means that through the process of elimination, one variable can be removed, allowing for the other variable to be solved directly.

Front

What is a matrix?

Back

A rectangular array of numbers arranged in rows and columns.

Front

How do you determine the number of columns in a matrix?

Back

The number of columns is equal to the number of vertical arrangements of numbers in the matrix.

Front

What is the solution to a system of equations?

Back

The values of the variables that satisfy all equations in the system simultaneously.

Front

What is the graphical representation of a system of equations?

Back

The solution is represented by the point(s) where the graphs of the equations intersect.

Front

What is the difference between a consistent and inconsistent system of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.