Exam 11: Radical Expressions, Equations, and Functions

Solve the problem. If necessary, round to the nearest tenth. -A building has a ramp to its front doors to accommodate the handicapped. If the distance from the building to the end of the ramp is 15 feet and the height from the ground to the front doors is 5 feet, how long is the ramp?

Solve. -

Determine whether the complex number is a solution of the equation. -8 + i; - 16x + 65 = 0

Simplify. -

Simplify by factoring. Assume no radicands were formed by raising negative numbers to even powers. -

Find the following. Assume that letters can represent any real number. -

Rewrite with rational exponents. -

Simplify. -

Use a calculator to approximate to three decimal places. -

Find the following. Assume that the letter can represent any real number. -

Solve. -

Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers. -

For the given function, find the indicated function value. -For f(x) = find f(14).

Use rational exponents to simplify. Write the answer in radical notation if appropriate. -

Add or subtract. Then simplify by collecting like radical terms, if possible. --

Multiply. -(8 + 5i)(2 - 7i)

Identify the radicand. -

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why it is easier to approximate compared to using when a calculator is not available.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -In an equilateral triangle, all sides have the same length. Can a right triangle be equilateral? Why or why not?