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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, . . .}