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<strong>ASH</strong>FORD <strong>MAT</strong> <strong>126</strong> Week 1 Quiz<br />

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<strong>MAT</strong> <strong>126</strong> Week 1 Quiz<br />

1. Question : Upon examining the contents of 38 backpacks, it<br />

was found that 23 contained a black pen, 27 contained a blue pen,<br />

and 21 contained a pencil, 15 contained both a black pen and a<br />

blue pen, 12 contained both a black pen and a pencil, 18 contained<br />

both a blue pen and a pencil, and 10 contained all three items.<br />

How many backpacks contained exactly two of the three writing<br />

instruments?<br />

2.Question : Which property of real numbers does the<br />

following equation demonstrate?<br />

4(x – 7) = 4x – 28


3.Question : Use inductive reasoning to find a pattern, and then<br />

make a reasonable conjecture for the next number in the<br />

sequence.1 2 4 8 16 ____<br />

4.Question : Let U = {5, 10, 15, 20, 25, 30, 35, 40}<br />

A = {5, 10, 15, 20}<br />

B = {25, 30, 35, 40}<br />

C = {10, 20, 30, 40}.<br />

Find A ⋂ B.<br />

5.Question : Which of the following expressions finishes the<br />

equation to demonstrate the associative property of addition?<br />

(3+8)+5=<br />

6.Question : In a survey of 24 college students, it was found<br />

that 16 were taking an English class, 17 were taking a math class,<br />

and 10 were taking both English and math. How many students<br />

were taking a math class only?<br />

7.Question : Phil has 15 stamps of denominations $0.37 and<br />

$0.23. If the total value of the stamps is $4.85 how many $0.37<br />

stamps does Phil have?


8.Question : A car travels 359 miles on 6.6 gallons of gasoline.<br />

How many miles per gallon did the car get? (Round to the nearest<br />

tenth.)<br />

9.Question : Round to the nearest hundred. 3,653<br />

10. Question : Which statement is false?<br />

11. Question : Write the set using set-builder notation:<br />

{natural numbers greater than 11}.<br />

12. Question : State whether the following sequence is<br />

arithmetic, geometric, or neither.<br />

0, 1, 4, 9, 16, 25, 36, ....<br />

13. Question : The peak rate of a phone company is $.22 per<br />

minute, and the off-peak rate is $.11 per minute. Find the savings<br />

for a 16-minute phone call if it was made during off-peak time as<br />

opposed to peak time. Round to the nearest hundreth.<br />

14. Question : State whether the following sequence is<br />

arithmetic, geometric, or neither.


10, 10.25, 10.50625, 10.76890625, ....<br />

15. Question : State whether the following sequence is<br />

arithmetic, geometric, or neither.<br />

4, 15, 26, 37, 48, 59, .....<br />

16. Question : Find the number of subsets the set has. {1, 2,<br />

3, 4, 5, 6, 7, 8, 9}<br />

17. Question : Which set is infinite?<br />

18. Question : Which set is finite?


19. Question : Upon examining the contents of 38 backpacks,<br />

it was found that 23 contained a black pen, 27 contained a blue pen,<br />

and 21 contained a pencil, 15 contained both a black pen and a<br />

blue pen, 12 contained both a black pen and a pencil, 18 contained<br />

both a blue pen and a pencil, and 10 contained all three items.<br />

How many backpacks contained none of the three writing<br />

instruments?<br />

20. Question : Find the general term of the set. {2, 4, 6, 8,<br />

10, . . .}

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