Project #62092 - Math Quiz 1

Question

1  of 20

A yardstick measures  high by 3 inches wide by 36 inches long. How many yardsticks will fit in a box 3 inches wide and 36 inches long if the girth of the box is 30 inches?

 24 yardsticks 48 yardsticks 96 yardsticks 128 yardsticks

2  of 20

Mrs. Bollo's second grade class of 30 students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of the students surveyed do NOT own dogs?

3

8

15

20

3  of 20

Let A = {1, 3, 5, 7}
B = {5, 6, 7, 8}
C = {5, 8}
D = {2, 5, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8}

Determine whether the following statement is true or false:

C
D

 True False; C is not equal to D. False; D is a subset of C. False; C is equal to D.

4  of 20

Use a Venn diagram to determine whether the following statement is equal for all sets A and B.

A'
B',  A B

 Equal Not equal

5  of 20

Find the indicated product.

Let A = {6, 7, 8} and B = {a, b, c}

Determine B × A.

{(6, a), (6, b), (6, c), (7, a), (7, b), (7, c), (8, a), (8, b), (8, c)}

{(6, a), (7, b), (8, c)}

{(a, 6), (a, 7), (a, 8), (b, 6), (b, 7), (b, 8), (c, 6), (c, 7), (c, 8)}

{(a, 6), (b, 7), (c, 8)

6  of 20

If the statement is true for all sets C and D, choose "True." If it is NOT true for all sets C and D, choose "False." Assume that C ≠ , U ≠ , and C U.

C

True

False

7  of 20

Write the indicated statement. Use De Morgan’s Laws if necessary.

If the Moon is out, then we will start a campfire and we will roast marshmallows.

Inverse

 If we do not start a campfire or we do not roast marshmallows, then the Moon is not out. If the Moon is not out, then we will not start a campfire or we will not roast marshmallows. If we start a campfire and we roast marshmallows, then the Moon is out. If the Moon is not out, then we will start a campfire but we will not roast marshmallows.

8  of 20

Let p represent a true statement while q represents a false statement. Find the truth value of the compound statement.

~[~p
(~q p)]

True

True

False

False

9  of 20

Select letters to represent the simple statements and write each statement symbolically by using parentheses. Then indicate whether the statement is a negation, conjunction, disjunction, conditional, or biconditional.

If a number is divisible by 3 and the number is not divisible by 2 then the number is not divisible by 6.

p (~q ~r); disjunction

p (~q ~r); conjunction

(p ~q) (~r); biconditional

(p ~q) (~r); conditional

10  of 20

Indicate the next figure in the pattern.

11  of 20

The following table shows the average price for a new beverage that is served at a coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set in roster form.

The set of regions in which the average price for the new beverage is more than \$5.00

 {A, B, C} {A, B, C, D} {A, B, C, D, E} {E, F, G, H, K, L}

12  of 20

Construct a truth table for the statement.

(q
w) (~w t)

13  of 20

A survey of 140 families showed the following:

51 families have a dog
40 families have a cat
16 families have a dog and a cat
56 families do NOT have a cat, a dog, or a parakeet
2 families have a cat, a dog, and a parakeet

How many families have only a parakeet?

 9 14 19 24

14  of 20

Use the Venn diagram to list the set of elements in roster form.

Find A.

 {6} {6, y, q, h} {9, 2, 6} {9, 2, 6, y}

15  of 20

Use inductive reasoning to predict the next line in the pattern.

6 × 8 = 7 × 9 - 15
8 × 10 = 9 × 11 - 19

 10 × 12 = 11 × 13 - 23 10 × 12 = 11 × 13 - 21 10 × 12 = 11 × 13 + 21 10 × 12 = 13 × 19 - 23

16  of 20

Write the contrapositive of the statement. Then use the contrapositive to determine whether the conditional statement is true or false.

If 10 does not divide the counting number, then 5 does not divide the counting number.

 If 5 divides the counting number, then 10 divides the counting number. True. If 5 divides the counting number, then 10 divides the counting number. False. If 10 divides the counting number, then 5 divides the counting number. True. If 10 divides the counting number, then 5 divides the counting number. False.

17  of 20

During a special club meeting of the Garden Club, three items were voted on. The votes of nine members are shown in the table that follows. Determine in which region of the Venn diagram the member in question would be placed. The set labeled "Vote 1" represents the set of members who voted "yes" on vote 1, and so on.

 II III IV VI

18  of 20

A rectangle has an area of 2646 square meters. Its length and width are whole numbers. Which measurements give the smallest perimeter?

 1 m by 2646 m 6 m by 441 m 7 m by 378 m 42 m by 63 m

19  of 20

Use a Venn diagram to determine whether the following statement is equal for all sets A and B.

(A
B)',  (A' B')'

 Equal Not equal

20  of 20

Indicate whether the statement is a simple or compound statement. If it is a compound statement, indicate whether it is a negation, conjunction, disjunction, conditional, or biconditional by using both the word and its appropriate symbol.

The team leader has decided to take a vacation.

 Simple statement Compound; conditional; → Compound; negation; ~ Compound; conjunction; ∧

 Subject Mathematics Due By (Pacific Time) 03/13/2015 12:00 am
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