# Math 100 Practice Test Number 4

Math 100 practice test number 4. These are practice
problems from the sections that will be covered on the tests. In addition

to these problems the problems in the text and my mathlab should be studied. In
addition 20% of the material will come

from prior tests.

**SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.
Find the root if it is a real number.**

**Find the decimal approximation for the radical. Round
the answer to three decimal places if necessary.**

** Graph the function and give its domain and range.**

**Evaluate the exponential.**

**Simplify the expression involving rational exponents .**

**Evaluate the exponential.**

** Multiply using the product rule. Assume all variables
represent positive real numbers.**

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

**Express the radical in simplified form.**

**Express in simplified form. Assume that all variables
represent positive real numbers.**

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

**Find the missing length in the right triangle. Simplify
the answer if necessary.**

**Find the distance between the pair of points.**

22) (-1, -2) and (1, -6)

23) (-5, 5) and (5, -7)

**Perform the indicated operations and simplify. Assume
that all variables represent positive real numbers.**

**Simplify. Assume that all variables represent positive
real numbers.**

**Use the rules of exponents to simplify the expression.
Write the answer with positive exponents. Assume that all
variables represent positive real numbers.**

**Simplify. Assume that all variables represent positive
real numbers.**

**Multiply, then simplify the product. Assume that all
variables represent positive real numbers.**

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

**Simplify. Assume that all variables represent positive
real numbers.**

**Rationalize the denominator. Assume that all variables
represent positive real numbers and that the denominator is not
zero .**

**Write the expression in lowest terms . Assume that all
variables represent positive real numbers.**

**Solve this equation.**

**Write the number as a product of a real number and i.
Simplify the radical expression.**

**Multiply or divide as indicated .**

**Solve the equation.**

** Add or subtract as indicated. Write your answers in
standard form.**

54) (6 + 4i) - (-5 + i)

55) (3 - 2i) + (5 + 7i)

**Multiply.**

56) (9 - 8i)(4 + 6i)

57) i(4 - 6i)(8 - 5i)

**Write the quotient in the form a + bi.**

**Find the power of i .**

**Use the square root property to solve the given
equation.**

**Use the quadratic formula to solve the given equation.
(Solutions are real numbers.)**

**Use the quadratic formula to solve the given equation.**

**Answer Key
Testname: MA100 PRACTICE TEST 4**

3) Not a real number

10) not a real number

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