College Algebra Questions
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algebra-050356.pdf
Student ID: 21772952
Exam: 050356RR - RADICALS AND RATIONAL EXPONENTS
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Questions 1 to 25: Select the best answer to each question. Note that a question and its answers may be split across a page break, so be sure that you have seen the entire question and all the answers before choosing an answer.
1. Simplify (6 − i)(2 + i). A. 13 − 8i B. 11 + 4i
C. 13 + 4i
D. 11 + 8i
2. Simplify .
A.
B.
C.
D.
3. Which of these radical expressions simplifies to x?
A.
B.
C.
D.
4. Expand and simplify. Assume y ≥ 0.
A.
B.
C.
D.
5. Two children in nearby houses attempt to use walkie-talkies to communicate. The walkie-talkies reach one quarter of a mile (1320 feet). From one child's house to the other, the walk along the city sidewalks is as follows: Proceed 450 feet from the first house to the nearest corner, turn right 90° and proceed another
1050 feet. Are the children's houses within the 1320-foot range of one another? Choose the best answer. A. Yes, because city blocks are much smaller than one quarter of a mile.
B. No, but if the turn were to the left instead, they would be within range.
C. Yes, as the distance formula indicates.
D. No, because the distance is greater than 1320 feet.
6. Solve for x.
A.
B.
C.
D.
7. What are the mean and standard deviation of the data – 6, 12, 2, – 4, 1, 6, 0, 3?
A. The mean is and the standard deviation is 5.
B. The mean is 4.86 and the standard deviation is 5.63.
C. The mean is and the standard deviation is approximately 5.6252.
D. The mean is and the standard deviation is approximately 5.6252.
8. Which of these expressions simplifies to ?
A.
B.
C.
D.
9. Simplify by rationalizing the denominator.
A.
B.
C.
D.
10. If the hypotenuse of a right triangle is 6m and one side is 4m, what is the length of the other side?
A.
B.
C.
D.
11. Rationalize the denominator of assuming x ≥ 0 and y ≥ 0.
A.
B.
C.
D.
12. Solve for x.
A. The two solutions for are complex numbers.
B. x = 2 or x = 8
C. x = 4 or x = –4
D. x = 2
13. Choose the best description of the radical expression .
A. It can be simplified to –3.
B. It can be simplified, but the result is a complex number.
C. It can be simplified to , but no further.
D. It is in simplified form.
14. Compute the value of .
A.
B.
C.
D.
15. Solve for x.
A. 40
B. 4
C. 50
D. –41
16. Which of these phrases best describes the standard deviation? A. It is equal to the mean squared.
B. It increases as more measurements are taken.
C. It is a measure of variability.
D. It is a radical expression using n variables.
17. Simplify .
A.
B.
C.
D.
18. Simplify .
A.
B.
C.
D.
19. Simplify .
A.
B.
C.
D.
20. Rationalize the denominator of .
A.
B.
C.
D.
21. To solve for x, begin with which of these steps?
A. Square both sides of the equation.
B. Combine the two like radicals, then square both sides.
C. Eliminate the negative in the second radical expression.
D. Isolate one radical expression.
End of exam
22. Simplify i23. A. i
B. –1
C. –i
D. 1
23. Expand and simplify. Assume c ≥ 0 and d ≥ 0.
A.
B.
C.
D.
24. Which expression has the same value as 25½? A.
B.
C.
D.
25. Which of these expressions is in simplified form?
A.
B.
C.
D.
