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1. Question : Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained exactly two of the three writing instruments?
2. Question : Which property of real numbers does the following equation demonstrate?
4(x – 7) = 4x – 28
3. Question : Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.1 2 4 8 16 ____
4. Question : Let U = {5, 10, 15, 20, 25, 30, 35, 40}
A = {5, 10, 15, 20}
B = {25, 30, 35, 40}
C = {10, 20, 30, 40}.
Find A ⋂ B.
5. Question : Which of the following expressions finishes the equation to demonstrate the associative property of addition?
(3+8)+5=
6. Question : In a survey of 24 college students, it was found that 16 were taking an English class, 17 were taking a math class, and 10 were taking both English and math. How many students were taking a math class only?
7. Question : Phil has 15 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $4.85 how many $0.37 stamps does Phil have?
8. Question : A car travels 359 miles on 6.6 gallons of gasoline. How many miles per gallon did the car get? (Round to the nearest tenth.)
9. Question : Round to the nearest hundred. 3,653
10. Question : Which statement is false?
11. Question : Write the set using set-builder notation: {natural numbers greater than 11}.
12. Question : State whether the following sequence is arithmetic, geometric, or neither.
0, 1, 4, 9, 16, 25, 36, ....
13. Question : The peak rate of a phone company is $.22 per minute, and the off-peak rate is $.11 per minute. Find the savings for a 16-minute phone call if it was made during off-peak time as opposed to peak time. Round to the nearest hundreth.
14. Question : State whether the following sequence is arithmetic, geometric, or neither.
10, 10.25, 10.50625, 10.76890625, ....
15. Question : State whether the following sequence is arithmetic, geometric, or neither.
4, 15, 26, 37, 48, 59, .....
16. Question : Find the number of subsets the set has. {1, 2, 3, 4, 5, 6, 7, 8, 9}
17. Question : Which set is infinite?
18. Question : Which set is finite?
19. Question : Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained none of the three writing instruments?
20. Question : Find the general term of the set. {2, 4, 6, 8, 10, . . .}
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