College Algebra Test 5 Review - Please note this review does not reflect all types of questions that may be asked on an exam.

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1 College Algebra Test 5 Review - Please note this review does not reflect all types of questions that may be asked on an exam. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Solve the system using the substitution method. A. B. 2. Solve the system using the substitution method. A. B. 3. Solve the system by using the elimination-by-addition method. 4. Solve the system by using the elimination-by-addition method. 5. Solve the system by either the substitution method or the elimination-by-addition method, whichever seems more appropriate. 6. Solve the system by either the substitution method or the elimination-by-addition method, whichever seems more appropriate. 7. The measure of the larger of two complementary angles is more than 3 times the measure of the smaller angle. Find the measures of both angles. A. B.

2 8. Sam invested $1,750, part of it at 10% and the rest at 14% yearly interest. The yearly income on the 14% investment was $58 more than 2 times the income from the 10% investment. How much did he invest at each rate? A. B. C. D. 9. One solution contains 40% alcohol and a second solution contains 80% alcohol. How many liters of each solution should be mixed to make 10 liters containing 48% alcohol? A. B. 10. Solve the system of equations. F. 11. Solve the system of equations. F. 12. Solve the system of equations. F. 13. A gift store is making a mixture of almonds, pecans, and peanuts, which cost $4.50 per pound, $6.00 per pound, and $1.00 per pound, respectively.the storekeeper wants to make 40 pounds of the mix to sell at $3.95 per pound. The number of pounds of peanuts is to be twice the number of pounds of pecans. Find the number of pounds of each to be used in the mixture. A. 28 pounds of almonds, 4 pounds of pecans, 8 pounds of peanuts B. 4 pounds of almonds, 28 pounds of pecans, 8 pounds of peanuts C. 8 pounds of almonds, 28 pounds of pecans, 4 pounds of peanuts D. 4 pounds of almonds, 8 pounds of pecans, 28 pounds of peanuts E. 8 pounds of almonds, 4 pounds of pecans, 28 pounds of peanuts 14. A handful of 29 coins consists of pennies, nickels, and dimes. The number of nickels is 5 less than twice the number of pennies, and there are 4 more dimes than nickels. How many coins of each kind are there? A. 13 pennies, 7 nickels, 9 dimes B. 9 pennies, 7 nickels, 13 dimes C. 7 pennies, 13 nickels, 9 dimes D. 7 pennies, 9 nickels, 13 dimes E. 13 pennies, 9 nickels, 7 dimes F. 9 pennies, 13 nickels, 7 dimes

3 15. The perimeter of a triangle is 66 centimeters. The longest side is 8 centimeters less than four times the shortest side. The sum of the lengths of the shortest and the longest sides is 30 centimeters less than three times the length of the remaining side. Find the lengths of all three sides of the triangle. A. the shortest is 32 cm, the longest is 24 cm, the remaining is 10 cm B. the shortest is 24 cm, the longest is 10 cm, the remaining is 32 cm C. the shortest is 10 cm, the longest is 24 cm, the remaining is 32 cm D. the shortest is 32 cm, the longest is 10 cm, the remaining is 24 cm E. the shortest is 10 cm, the longest is 32 cm, the remaining is 24 cm F. the shortest is 24 cm, the longest is 32 cm, the remaining is 10 cm 16. Indicate the solution set for the following system of linear inequalities by graphing the system and shading the appropriate region. A. B. 17. Indicate the solution set for the following system of linear inequalities by graphing the system and shading the appropriate region.

4 A. B. 18. Indicate the solution set for the following system of linear inequalities by graphing the system and shading the appropriate region.

5 A. B. 19. Find the maximum and minimum value of the function in the indicated region. A. B. C.

6 20. Find the maximum and minimum value of the function in the indicated region. A. B. C. D.

7 College Algebra Test 5 Review - Please note this review does not reflect all types of questions that may be asked on an exam. Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 MSC: ksca m 2. ANS: A PTS: 1 MSC: ksca m 3. ANS: B PTS: 1 MSC: ksca m 4. ANS: E PTS: 1 MSC: ksca m 5. ANS: B PTS: 1 MSC: ksca m 6. ANS: D PTS: 1 MSC: ksca m 7. ANS: C PTS: 1 MSC: ksca m 8. ANS: D PTS: 1 MSC: ksca m 9. ANS: A PTS: 1 MSC: ksca m 10. ANS: F PTS: 1 MSC: ksca m 11. ANS: A PTS: 1 MSC: ksca m 12. ANS: F PTS: 1 MSC: ksca m 13. ANS: A PTS: 1 MSC: ksca m 14. ANS: D PTS: 1 MSC: ksca m 15. ANS: E PTS: 1 MSC: ksca m 16. ANS: D PTS: 1 MSC: ksca m 17. ANS: C PTS: 1 MSC: ksca m 18. ANS: D PTS: 1 MSC: ksca m 19. ANS: A PTS: 1 MSC: ksca m 20. ANS: D PTS: 1 MSC: ksca m

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