Math 1 EOC Review

Front

What is the formula to calculate the cost of a cab ride based on distance traveled?

Back

Cost = Base fare + (Cost per mile * Number of miles) = $4.25 + ($0.35 * miles)

Front

How do you factor the expression x² - 81?

Back

x² - 81 is a difference of squares and can be factored as (x - 9)(x + 9).

Front

What is the formula to find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

What is the vertex form of a quadratic function?

Back

The vertex form is h(t) = a(t - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you determine the maximum height of a projectile given its height function h(t) = -t² + bt + c?

Back

The maximum height occurs at t = -b/(2a) for the quadratic function h(t) = at² + bt + c.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By + C = 0, where A, B, and C are constants.

Front

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

Back

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

Front

What does it mean for a function to be exponential?

Back

An exponential function has the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

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

Back

A linear function has a constant rate of change (straight line), while a quadratic function has a variable rate of change (parabola).