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Mathematics
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Introductory and Intermediate Algebra Study Set 1
Quiz 11: Radical Expressions, Equations, and Functions
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Question 301
Essay
Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain a method that could be used to solve
Question 302
Essay
Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain in your own words why possible solutions of radical equations must be checked.
Question 303
Multiple Choice
Divide and simplify to the form a + bi. -
Question 304
Essay
Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Use what you know about factoring a difference of cubes to devise a method for rationalizing a denominator of the form
Question 305
True/False
Determine whether the complex number is a solution of the equation. -1 + 8i;
+ 9x + 9 = 0
Question 306
Essay
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.
Question 307
True/False
Determine whether the complex number is a solution of the equation. -4i;
+ 16 = 0
Question 308
True/False
Determine whether the complex number is a solution of the equation. -8 + i;
- 16x + 65 = 0
Question 309
True/False
Determine whether the complex number is a solution of the equation. -1 + 2i;
- 3y + 3 = 0
Question 310
Multiple Choice
Divide and simplify to the form a + bi. -
Question 311
Essay
Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain in your own words why
when a is negative.
Question 312
Short Answer
Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why no assumptions need to be made regarding the numbers represented by x and y when you are simplifying the expression
Question 313
Multiple Choice
Divide and simplify to the form a + bi. -
Question 314
Essay
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?
Question 315
Essay
Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the difference between real numbers and complex numbers?
Question 316
Essay
Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following.
Question 317
Essay
Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Why is it important to know how to multiply radical expressions before learning to divide them?