TFC - final exam review

Front

Suppose y varies directly as x. If y = 22.5 when x = 15, find y when x = 20.

Back

y = kx; k = y/x = 22.5/15 = 1.5; y = 1.5 * 20 = 30.

Front

What is the y-intercept of the equation y = 2x² - 3x - 2?

Back

The y-intercept is the value of y when x = 0. Plugging in x = 0 gives y = -2.

Front

Calculate the area of a rectangle with dimensions 94 feet by 50 feet.

Back

Area = length * width = 94 * 50 = 4,700 square feet.

Front

Define complementary angles.

Back

Complementary angles are two angles whose sum is 90 degrees.

Front

Define supplementary angles.

Back

Supplementary angles are two angles whose sum is 180 degrees.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³.

Front

Find the volume of a sphere with a radius of 5 meters.

Back

Volume = (4/3)π(5)³ = 523.6 m³.

Front

What is the relationship between direct variation and proportionality?

Back

In direct variation, y = kx, where k is a constant. This means y is directly proportional to x.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

How do you find the x-intercepts of a quadratic equation?

Back

Set y = 0 and solve the equation ax² + bx + c = 0.