EOC Review 5

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If the length of a rectangle is 4 feet greater than its width, how can we express the length in terms of width?

Back

Length = w + 4, where w is the width.

Front

What is the formula for the new area of a rectangle if both dimensions are increased by 2 feet?

Back

New Area = (w + 2)(w + 4 + 2) = w^2 + 8w + 12.

Front

How do you calculate the cost per candy bar if a box of 50 candy bars costs $30 and the school wants to make a profit of $10 per box?

Back

Total cost = $30 + $10 = $40; Cost per candy bar = $40 / 50 = $0.80.

Front

What does the vertex of a quadratic equation represent in the context of a car's value over time?

Back

The vertex represents the year when the car has the least value.

Front

In the equation V = 20.8x^2 - 458.3x + 3500, what does the coefficient of x^2 indicate?

Back

It indicates the rate of change of the car's value over time.

Front

What is the significance of the slope in the function T(a) = -0.0018a + 212?

Back

The slope indicates that the boiling point decreases by 1.8 degrees for every 1000 feet increase in altitude.

Front

How do you find the midpoint of a line segment with endpoints J(2, 4) and L(6, 8)?

Back

Midpoint K = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 6)/2, (4 + 8)/2) = (4, 6).

Front

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

Back

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

Front

What is the equation of a line perpendicular to another line with slope m?

Back

The slope of the perpendicular line is -1/m.