Fall Semester Exam Review

Front

What is a common difference in a sequence?

Back

The common difference is the constant amount that each term in an arithmetic sequence increases or decreases by. For example, in the sequence 3, 0, -3, -6, the common difference is -3.

Front

How do you represent a linear equation?

Back

Front

What is a quadratic function?

Back

Front

How do you determine the number of toppings Bobby can get with $8 if each topping costs $0.67?

Back

To find the number of toppings, divide the total amount by the cost per topping: $$8 / 0.67 \approx 12$$ toppings.

Front

What does f(-1) = 7 indicate about the function f?

Back

It indicates that when the input to the function f is -1, the output is 7.

Front

What is the formula for a linear function?

Back

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means the line rises, while a negative slope means it falls.

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola, which opens either upwards or downwards.

Front

What is the general form of a quadratic equation?

Back