# Math 115 Sample Test Chapter 10

**Use radical notation to write the expression. Simplify
if possible.**

**Use rational exponents to simplify the following.**

**Use rational exponents to write as a single radical
expression.**

**Use the properties of exponents to simplify the
expression. Write with positive exponents.**

**Simplify the radical expression. Assume that all
variables represent positive real numbers.**

**Use the product rule to multiply. Assume all variables
represent positive real numbers**

**Add or subtract. Assume all variables represent
positive real numbers.**

**Multiply, and then simplify if possible. Assume all
variables represent positive real numbers.**

**Rationalize the denominator and simplify. Assume that
all variables represent positive real numbers.**

**Solve.**

14) When an object is dropped to the ground from a
height of h meters, the time it takes for the object to reach the ground is given by the equation , where t is measured in seconds. If an object hits the ground after falling for 2 seconds, find the height from which the object was dropped. |

18) Scott set up a volleyball net in his backyard.
One of the poles, which forms a right angle with the ground, is 7 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 9 feet from the bottom of the pole. To the nearest tenth of a foot, find the length of the rope. |

**Perform the indicated operation. Write the result in
the form a + bi.**

**Write in terms of i.**

**Find the root. Use absolute value bars when necessary.**

**Identify the domain of f(x). Then complete the
accompanying table and graph f(x).**

**Raise to the power or find the root. Assume that all
variables represent positive numbers. Write with only positive
exponents.**

Answer Key

Testname: MATH115ST10P09