Semester Review - PreAlgebra

Front

What is the relationship between the number of pizza slices bought and the total cost?

Back

The relationship is linear, where the total cost (y) increases as the number of slices (x) increases. The cost per slice can be calculated as the total cost divided by the number of slices.

Front

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

Back

The point-slope form is given by the equation: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you find the intersection point of two linear equations?

Back

To find the intersection point, solve the system of equations formed by the two lines simultaneously.

Front

What is the cost function for Uber rides?

Back

The cost function for Uber rides can be expressed as C = 5 + 0.5m, where C is the total cost and m is the number of miles driven.

Front

What is the cost function for Lyft rides?

Back

The cost function for Lyft rides can be expressed as C = 10 + 0.1m, where C is the total cost and m is the number of miles driven.

Front

How do you determine when two cost functions are equal?

Back

Set the two cost functions equal to each other and solve for the variable (in this case, the number of miles).