Mathematics Quiz

Which expression best represents the “Hamburger Helper Hand” technique when converting from logarithmic to exponential form and vice versa?

• log_b y = x <------> b^x = y

• log_b y = x <------> b^y = x

• log_y b = x <------> b^y = x

• log_b x = y <------> b^x = y

Which formula represents compound interest where the interest rate is compounded a specific number of times a year into the original amount?

• A = P • (1/2)^(1/t)

• A = P • (1 + r/t)^(t • t)

• A = P • (1 + r/n)^(n • t)

• A = P • e^(-t)

• A = P • (2)^(1/t)

To convert from degrees to radian measure, follow this formula: deg × π/180°. To convert from radians to degree measure, follow this formula: radians × 180°/π.

• True

• False

What is the formula to determine the segment lengths of two secant lines of the given picture?

• w • (w + x) = y • (y + z)

• w • (w + x) = (y + z)^(2)

• x • (w + x) = z • (y + z)

• w • x = y • z

What is the volume formula for the given 3D solid?

• V = 4/3 π r^(3)

• V = l • w • h

• V = π r^(2) h

• V = 1/3 π r^(2) h

What is the volume formula for the given 3D solid?

• V = (4/3)πr³

• V = l • w • h

• V = πr²h

• V = (1/3)πr²h

Complete the sentences with the correct word(s): A tangent line in a circle intersects the circle at __________ point(s). When a tangent line intersects when a radius of a circle, it forms a(n) __________ angle.

Referring to the Factor Theorem, if (x – c) is a factor of a polynomial then the remainder will equal what number?

• remainder = 1

• remainder = -1

• remainder = 2

• remainder = 0

Which formula represents using doubling time?

• A = P • (1/2)^(1/k)

• A = P • (1 ± r)^t

• A = P • e^(-rt)

• A = P • (1 + r/n)^(n • t)

• A = P • (2)^(t/d)

The given expressions a³ + b³ = (a + b)(a² – ab + b²) and a³ – b³ = (a – b)(a² + ab + b²) represents which factoring concept?

• multiplication and division of cubes

• division of squares

• sum and difference of cubes

• sum and difference of squares