OST Practice Level 1

Front

What is the equation for the total cost c of hitting b buckets of golf balls at a driving range that charges $4 to rent a golf club plus $2.75 for every bucket?

Back

c = 2.75b + 4

Front

What defines a function in mathematics?

Back

A relation is a function if each x-value has only one y-value paired with it.

Front

Is the relation with x-value 11 having two y-values a function?

Back

No, because the x-value 11 has two y-values paired with it.

Front

Solve for x: x = by + v. What is x in terms of y and v?

Back

x = by + v

Front

What are the solutions to the equation a² + 2a - 24 = 0?

Back

a = -6, 4

Front

How do you determine if an equation is linear or exponential?

Back

An equation is linear if it can be written in the form y = mx + b, where m and b are constants.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change, while a quadratic function has a variable rate of change and includes an x² term.

Front

What does it mean for an equation to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).