College Algebra Questions
Student ID: 21772952
Exam: 050355RR - RATIONAL EXPRESSIONS
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Questions 1 to 20: 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. Perform the indicated operations and simplify the following expression:
A.
B.
C.
D.
2. Divide the following expression:
A.
B.
C.
D.
3. The intensity I of light varies inversely with the square of the distance d from the source, expressed in
the equation . If the intensity is of a candela 16 feet from the source, what is the constant of
proportionality? A. 128 candela-square-feet
B. 2 candela-square-feet
C. 32 candela-square-feet
D. 256 candela-square-feet
4. Perform the indicated operations and simplify the following expression:
A.
B.
C.
D.
5. Simplify the following expression:
A.
B.
C.
D.
6. Simplify the following expression:
A.
B.
C.
D.
7. Perform the indicated operations and simplify the following expression:
A.
B.
C.
D.
8. Find the result of the polynomial division (3x2 − 2) ÷ (x + 4).
A.
B.
C.
D.
9. Divide the following expression:
(x2 + 10x + 21) ÷ (x + 7) A. x + 5
B. x + 3
C. x2 + 3
D. x − 2
10. Simplify the expression
A.
B.
C.
D.
11. Solve the following equation:
A. y = 4
B. y = –4
C. y = –3
D. y = 3
12. Solve the following equation:
A. t = 1
B. { }
C. t = 2
D. t = –1
13. Which sum yields ?
A.
B.
C.
D.
14. Perform the indicated operations and simplify the following expression:
A.
B.
C.
D.
15. The total resistance R of two resistors in parallel is given by where R1 is the resistance of the
first and R2 the resistance of the second. Solve that equation for R1 and simplify.
A.
B.
C.
D.
16. Perform the indicated operations and simplify the following expression:
A.
B.
C.
End of exam
D.
17. Simplify the following expression:
A.
B.
C.
D.
18. It costs $500 to have a booth at the fair for one day and $2.75 for Aunt Ida to produce one of her famous shepherd's pies. What is the function that gives the average cost in dollars per pie for one of Aunt Ida's days at the fair?
A.
B.
C.
D.
19. Solve this proportion for the variable:
A. y = 2
B. y = –2
C. y = –4
D. y = 4
20. Express this sentence as a formula: z varies directly with the square of s.
A.
B.
C.
D.