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A Problem-Solving Approach to Mathematics for Elementary School
Teachers
by Rick Billstein, Shlomo Libeskind, Johnny Lott
13th Edition.
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FULL TEST BANK!!!
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,Exam
Name
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the following is a statement. If it is, then also classify the statement as true or false.
1) Why don't you come here? 1)
A) True statement B) Not a statement C) False statement
Answer: B
2) This room is big. 2)
A) False statement B) True statement C) Not a statement
Answer: C
3) 5 - 1 = 4 3)
A) True statement B) Not a statement C) False statement
Answer: A
4) 7x + y = 3 4)
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A) False statement B) Not a statement C) True statement
Answer: B
5) Can you bring the book? 5)
A) False statement B) True statement C) Not a statement
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Answer: C
6) x + y = x - y, where y = 0 6)
A) Not a statement B) True statement C) False statement
Answer: B
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7) 12 = 3y 7)
A) False statement B) True statement C) Not a statement
Answer: C
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8) 2.4 = 5.2 8)
A) Not a statement B) False statement C) True statement
Answer: B
9) The state of California is in North America. 9)
A) Not a statement B) True statement C) False statement
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Answer: B
10) Brazil is in Asia. 10)
A) True statement B) Not a statement C) False statement
Answer: C
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,Use a quantifier to make the following true or false, as indicated, where x is a natural number.
11) x + x = 6 (make true) 11)
A) There is no natural number x such that x + x = 6.
B) There exists a natural number x such that x + x = 6.
C) For every natural number x, x + x = 6.
D) For all natural numbers x, x + x = 6.
Answer: B
12) x3 = 8 (make true) 12)
A) No natural number x exists such that x3 = 8.
B) Every natural number x satisfies x3 = 8.
C) Three natural numbers x exist such that x3 = 8.
D) There exists a natural number x such that x3 = 8.
Answer: D
13) 2x + 1 = 5 - x (make true) 13)
A) Only two natural numbers x exist such that 2x + 1 = 5 - x.
B) No natural number x exists such that 2x + 1 = 5 - x.
C) For every natural number x, 2x + 1 = 5 - x.
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D) There exists a natural number x such that 2x + 1 = 5 - x.
Answer: D
14) 12x = 5x + 7x (make false) 14)
A) More than one natural number x exists such that 12x = 5x + 7x.
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B) For every natural number x, 12x = 5x + 7x.
C) There exists a natural number x such that 12x = 5x + 7x.
D) There is no natural number x such that 12x = 5x + 7x.
Answer: D
15) x - 13 = 13 - x (make false) 15)
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A) There exists a natural number x such that x - 13 = 13 - x.
B) At least one natural number x exists such that x - 13 = 13 - x.
C) There is no natural number x such that x - 13 = 13 - x.
D) For x = 13, x - 13 = 13 - x.
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Answer: C
16) 4x = 7x (make false) 16)
A) No natural number x satisfies 4x = 7x.
B) There is no natural number x such that 4x = 7x.
C) For every natural number x, 4x = 7x.
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Answer: C
Write the statement indicated.
17) Write the negation of the following: 17)
The test is difficult.
A) The test is not easy. B) The test is very difficult.
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C) The test is not difficult. D) The test is not very easy.
Answer: C
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, 18) Write the negation of the following: 18)
8 + 2 = 10
A) 8 + 2 = 12 B) The sum of 8 and 2 is ten.
C) 8 + 2 × 10 D) 8 + 2 = 2 + 8
Answer: C
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
19) Negate the following: The store is sometimes open on Sunday. 19)
Answer: The store is never open on Sunday.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Construct a truth table for the statement.
20) ~p A~s 20)
A) p s (~p A~s) B) p s (~p A~s)
T T F T T F
T F F T F T
F T F F T T
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F F F F F T
C) p s (~p A~s) D) p s (~p A~s)
T T T T T F
T F F T F F
F T F F T F
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F F T F F T
Answer: D
21) s V~(r Ap) 21)
A) s r p s V~(r Ap) B) s r p s V~(r Ap)
T T T T T T T T
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T T F T T T F T
T F T T T F T T
T F F T T F F T
F T T F F T T F
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F T F T F T F T
F F T T F F T T
F F F T F F F F
Answer: A
22) (p A~q) At 22)
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A) p q t (p A~q) At B) p q t (p A~q) At
T T T F T T T F
T T F F T T F F
T F T T T F T F
T F F F T F F F
F T T F F T T F
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F T F F F T F T
F F T F F F T T
F F F F F F F T
Answer: A
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A Problem-Solving Approach to Mathematics for Elementary School
Teachers
by Rick Billstein, Shlomo Libeskind, Johnny Lott
13th Edition.
Tr
us
te
ds
ch
ol
ar
FULL TEST BANK!!!
Trustedscholar
,Exam
Name
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the following is a statement. If it is, then also classify the statement as true or false.
1) Why don't you come here? 1)
A) True statement B) Not a statement C) False statement
Answer: B
2) This room is big. 2)
A) False statement B) True statement C) Not a statement
Answer: C
3) 5 - 1 = 4 3)
A) True statement B) Not a statement C) False statement
Answer: A
4) 7x + y = 3 4)
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A) False statement B) Not a statement C) True statement
Answer: B
5) Can you bring the book? 5)
A) False statement B) True statement C) Not a statement
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Answer: C
6) x + y = x - y, where y = 0 6)
A) Not a statement B) True statement C) False statement
Answer: B
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7) 12 = 3y 7)
A) False statement B) True statement C) Not a statement
Answer: C
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8) 2.4 = 5.2 8)
A) Not a statement B) False statement C) True statement
Answer: B
9) The state of California is in North America. 9)
A) Not a statement B) True statement C) False statement
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Answer: B
10) Brazil is in Asia. 10)
A) True statement B) Not a statement C) False statement
Answer: C
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Trustedscholar
,Use a quantifier to make the following true or false, as indicated, where x is a natural number.
11) x + x = 6 (make true) 11)
A) There is no natural number x such that x + x = 6.
B) There exists a natural number x such that x + x = 6.
C) For every natural number x, x + x = 6.
D) For all natural numbers x, x + x = 6.
Answer: B
12) x3 = 8 (make true) 12)
A) No natural number x exists such that x3 = 8.
B) Every natural number x satisfies x3 = 8.
C) Three natural numbers x exist such that x3 = 8.
D) There exists a natural number x such that x3 = 8.
Answer: D
13) 2x + 1 = 5 - x (make true) 13)
A) Only two natural numbers x exist such that 2x + 1 = 5 - x.
B) No natural number x exists such that 2x + 1 = 5 - x.
C) For every natural number x, 2x + 1 = 5 - x.
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D) There exists a natural number x such that 2x + 1 = 5 - x.
Answer: D
14) 12x = 5x + 7x (make false) 14)
A) More than one natural number x exists such that 12x = 5x + 7x.
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B) For every natural number x, 12x = 5x + 7x.
C) There exists a natural number x such that 12x = 5x + 7x.
D) There is no natural number x such that 12x = 5x + 7x.
Answer: D
15) x - 13 = 13 - x (make false) 15)
te
A) There exists a natural number x such that x - 13 = 13 - x.
B) At least one natural number x exists such that x - 13 = 13 - x.
C) There is no natural number x such that x - 13 = 13 - x.
D) For x = 13, x - 13 = 13 - x.
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Answer: C
16) 4x = 7x (make false) 16)
A) No natural number x satisfies 4x = 7x.
B) There is no natural number x such that 4x = 7x.
C) For every natural number x, 4x = 7x.
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Answer: C
Write the statement indicated.
17) Write the negation of the following: 17)
The test is difficult.
A) The test is not easy. B) The test is very difficult.
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C) The test is not difficult. D) The test is not very easy.
Answer: C
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, 18) Write the negation of the following: 18)
8 + 2 = 10
A) 8 + 2 = 12 B) The sum of 8 and 2 is ten.
C) 8 + 2 × 10 D) 8 + 2 = 2 + 8
Answer: C
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
19) Negate the following: The store is sometimes open on Sunday. 19)
Answer: The store is never open on Sunday.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Construct a truth table for the statement.
20) ~p A~s 20)
A) p s (~p A~s) B) p s (~p A~s)
T T F T T F
T F F T F T
F T F F T T
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F F F F F T
C) p s (~p A~s) D) p s (~p A~s)
T T T T T F
T F F T F F
F T F F T F
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F F T F F T
Answer: D
21) s V~(r Ap) 21)
A) s r p s V~(r Ap) B) s r p s V~(r Ap)
T T T T T T T T
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T T F T T T F T
T F T T T F T T
T F F T T F F T
F T T F F T T F
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F T F T F T F T
F F T T F F T T
F F F T F F F F
Answer: A
22) (p A~q) At 22)
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A) p q t (p A~q) At B) p q t (p A~q) At
T T T F T T T F
T T F F T T F F
T F T T T F T F
T F F F T F F F
F T T F F T T F
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F T F F F T F T
F F T F F F T T
F F F F F F F T
Answer: A
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