Math 4 Honors Final Exam

Front

Find x: log_5(x) = 0

Back

x = 1

Front

Identify the Law of Sines

Back

Sin(A)/a = Sin(B)/b = Sin(C)/c

Front

Which exponential equation is equivalent to ln(x) = 4?

Back

x = e^4

Front

Which formula shows the Law of Cosines?

Back

c^2 = a^2 + b^2 - 2abcosC

Front

Simplify: 5y - 8z - (z + 3y) + 5(y - 2z)

Back

7y - 19z

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

State the Pythagorean Theorem.

Back

In a right triangle, a^2 + b^2 = c^2, where c is the hypotenuse.

Front

What is the formula for the area of a triangle using sine?

Back

Area = (1/2)ab sin(C), where a and b are sides and C is the included angle.

Front

Define the term 'exponential function'.

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

What is the derivative of e^x?

Back

The derivative of e^x is e^x.