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This document MAT 126 Week 1 Quiz contains solutions on
these questions:
1. 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?
2. Find the general term of the set. {8, 12, 16, 20, 24, . . .}
3. Let U = {5, 10, 15, 20, 25, 30, 35, 40}
4. 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?
5. Write the set using set-builder notation: {natural numbers
greater than 11}.
6. Find the number of subsets the set has. {1, 2, 3, 4, 5, 6, 7,
8, 9}
7. 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.
8. Use inductive reasoning to find a pattern, and then make a
reasonable conjecture for the next number in the sequence.
7 8 10 13 17 22 28 ____
9. The process of arriving at a general conclusion based on
the observation of specific examples is called ___________
2. 10. Which statement is false?
11. 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?
12. Which of the following expressions finishes the equation
to demonstrate the associative property of addition?
13. Which sentence is not a statement?
14. Which of the following phrases does not describe the
number -??
15. Find the general term of the set. {2, 4, 6, 8, 10, . . .}
16. The process of arriving at a specific conclusion based on
previously accepted general statements is called
___________ reasoning.
17. In a group of 37 children, 14 had a dog, 20 had a cat, and
12 had both a dog and a cat. How many children had neither
a dog nor a cat as a pet?
18. 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.
19. State whether the following sequence is arithmetic,
geometric, or neither. 0, 1, 4, 9, 16, 25, 36, ....
20. 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 ____
Mathematics - General Mathematics
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
3. contained both a blue pen and a pencil, and 10 contained all
three items. How many backpacks contained none of the
three writing instruments?
The process of arriving at a specific conclusion based on
previously accepted general statements is called
___________ reasoning
Which property of real numbers does the following equation
demonstrate?
Perform the indicated operations: -42÷6+(-7)
Find the number of subsets the set has. {1, 2, 3, 4, 5, 6, 7, 8,
9}
State whether the following sequence is arithmetic,
geometric, or neither.
Which of the following phrases does not describe the
number -¾?
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 ⋂ C .
Use inductive reasoning to find a pattern, and then make a
reasonable conjecture for the next number in the sequence.
1 3 7 13 15 19 25 27 31 37 ____
In a group of 37 children, 14 had a dog, 20 had a cat, and 12
had both a dog and a cat. How many children had neither a
dog nor a cat as a pet?
Select a counterexample to show that the statement is false.
When an odd number is added to the product of two even
numbers, the result will be even
Use inductive reasoning to find a pattern, and then make a
reasonable conjecture for the next number in the sequence.1
4. 2 4 8 16 ____
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?
Which set is finite?
Round to the nearest hundredth. 2.8749
The process of arriving at a general conclusion based on the
observation of specific examples is called ___________
reasoning.
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
State whether the following sequence is arithmetic,
geometric, or neither.
0, 1, 4, 9, 16, 25, 36, ....
Perform the indicated operations:
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professor you will be less likely to be distracted from those
who are not serious in their studies. In addition, those who
sit up close to the professor generally participate more in
group discussions, which will help you get a firmer grasp on
the material....
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