A Problem-Solving Approach to
Mathematics for Elementary School
Teachers 12th Edition Test Bank – Billstein,
Libeskind & Lott (2026-2027)
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TS 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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,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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Mathematics for Elementary School
Teachers 12th Edition Test Bank – Billstein,
Libeskind & Lott (2026-2027)
Tr
us
te
ds
ch
ol
ar
TS 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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TS 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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