Math Review 3

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the formula for the volume of a cylinder?

Back

The volume (V) of a cylinder is calculated using the formula: V = πr^2h, where r is the radius and h is the height.

Front

How do you calculate the radius of a cylinder if you know the diameter?

Back

The radius (r) is half of the diameter (d): r = d / 2.

Front

What is the quadratic formula used to solve quadratic equations?

Back

The quadratic formula is: x = (-b ± √(b² - 4ac)) / (2a), where ax² + bx + c = 0.

Front

What does it mean for a fraction to be undefined?

Back

A fraction is undefined when the denominator is zero, as division by zero is not possible.

Front

What is the formula for the volume of a hollow cylinder?

Back

The volume of a hollow cylinder is calculated as: V = πh(R² - r²), where R is the outer radius and r is the inner radius.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

How do you find the height of a cylinder if you know the volume and diameter?

Back

Rearrange the volume formula: h = V / (πr²), where r is the radius.

Front

What is the relationship between the diameter and radius of a circle?

Back

The diameter (d) is twice the radius (r): d = 2r.