Math Midterm 2024

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

Which set of ordered pairs represents a function? {(9, -1), (-3, 0), (9, -6), (0, 8)}

Back

Not a function, because 9 is associated with two different outputs (-1 and -6).

Front

Which set of ordered pairs represents a function? {(-7, 8), (6, 8), (-1, 9), (-1, -9)}

Back

Not a function, because -1 is associated with two different outputs (9 and -9).

Front

Which set of ordered pairs represents a function? {(3, -6), (-5, 8), (3, 5), (-1, -5)}

Back

Not a function, because 3 is associated with two different outputs (-6 and 5).

Front

Which set of ordered pairs represents a function? {(5, 8), (3, -9), (-9, 8), (-8, 3)}

Back

This is a function, as each input has a unique output.

Front

How do you solve the equation 8(-4x + 2) = -56x + 40?

Back

First, distribute: -32x + 16 = -56x + 40. Then, combine like terms to find x = 1.

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

What does it mean if an equation has no solutions?

Back

It means that there is no value for the variable that will satisfy the equation.

Front

How do you determine if two equations intersect?

Back

Set the equations equal to each other and solve for the variable to find the intersection point.

Front

Back

The intersection point is (-5, -2).