Semester Exam Review Part 1

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Given the relation R = {(-2,3), (a,4), (1,9), (0,7)}, which value for a makes this relation a function?

Back

a = 4.

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (x-value).

Front

What does it mean for a system of equations to have one solution?

Back

It means the lines represented by the equations intersect at exactly one point.

Front

What is the solution to the system of equations 4x + 8y = 20 and -4x + 2y = -30?

Back

(7, -1).

Front

Back

A vertical line that crosses the x-axis at -3.

Front

Which set of ordered pairs is NOT a function?

Back

(3, 1), (2, 1), (1, 2), (3, 2) because the x-value 3 is repeated.

Front

What is the definition of a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

What is the meaning of 'no solution' in a system of equations?

Back

It means the lines represented by the equations are parallel and never intersect.