Algebra 1 Semester 1 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 for a system of equations to have infinitely many solutions?

Back

It means that the equations represent the same line, and any point on that line is a solution.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

How can you determine if a mapping is a function?

Back

Check if any input corresponds to more than one output; if it does, it's not a function.

Front

What is a solution to a system of equations?

Back

A set of values for the variables that makes all equations true.

Front

What does it mean for (0,0) to be a solution to a system?

Back

It means that when you substitute x=0 and y=0 into the equations, they hold true.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable, making it easier to solve.

Front

What is an inequality?

Back

A mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you graph a linear inequality?

Back

Graph the corresponding equation as a line, then shade the region that satisfies the inequality.

Front

What does the notation y > 2x - 4 represent?

Back

It represents all points above the line y = 2x - 4.