TEST BANK FOR PROBLEM SOLVING APPROACH
TO MATHEMATICS FOR ELEMENTARY SCHOOL
TEACHERS
,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?
A) Not a statement B) False statement C) True statement
Answer: A
2) This room is big.
A) True statement B) Not a statement C) False statement
Answer: B
3) 5 - 1 = 4
A) True statement B) Not a statement C) False statement
Answer: A
4) 7x + y = 3
A) False statement B) True statement C) Not a statement
Answer: C
5) Can you bring the book?
A) True statement B) Not a statement C) False statement
Answer: B
6) x + y = x - y, where y = 0
A) False statement B) True statement C) Not a statement
Answer: B
7) 12 = 3y
A) Not a statement B) False statement C) True statement
Answer: A
8) 2.4 = 5.2
A) False statement B) Not a statement C) True statement
Answer: A
9) The state of California is in North America.
A) Not a statement B) False statement C) True statement
Answer: C
10) Brazil is in Asia.
A) True statement B) Not a statement C) False statement
Answer: C
Use a quantifier to make the following true or false, as indicated, where x is a natural number.
11) x + x = 6 (make true)
A) There is no natural number x such that x + x = 6.
B) For all natural numbers x, x + x = 6.
C) There exists a natural number x such that x + x = 6.
D) For every natural number x, x + x = 6.
Answer: C
, 12) x3 = 8 (make true)
A) No natural number x exists such that x3 = 8.
B) Every natural number x satisfies x3 = 8.
C) There exists a natural number x such that x3 = 8.
D) Three natural numbers x exist such that x3 = 8.
Answer: C
13) 2x + 1 = 5 - x (make true)
A) No natural number x exists such that 2x + 1 = 5 - x.
B) There exists a natural number x such that 2x + 1 = 5 - x.
C) Only two natural numbers x exist such that 2x + 1 = 5 - x.
D) For every natural number x, 2x + 1 = 5 - x.
Answer: B
14) 12x = 5x + 7x (make false)
A) For every natural number x, 12x = 5x + 7x.
B) There is no natural number x such that 12x = 5x + 7x.
C) More than one natural number x exists such that 12x = 5x + 7x.
D) There exists a natural number x such that 12x = 5x + 7x.
Answer: B
15) x - 13 = 13 - x (make false)
A) For x = 13, x - 13 = 13 - x.
B) There exists a natural number x such that x - 13 = 13 - x.
C) At least one natural number x exists such that x - 13 = 13 - x.
D) There is no natural number x such that x - 13 = 13 - x.
Answer: D
16) 4x = 7x (make false)
A) There is no natural number x such that 4x = 7x.
B) For every natural number x, 4x = 7x.
C) No natural number x satisfies 4x = 7x.
Answer: B
Write the statement indicated.
17) Write the negation of the following:
The test is difficult.
A) The test is not difficult. B) The test is not very easy.
C) The test is very difficult. D) The test is not easy.
Answer: A
18) Write the negation of the following:
8 + 2 = 10
A) 8 + 2 = 12 B) 8 + 2 = 2 + 8
C) The sum of 8 and 2 is ten. D) 8 + 2 ≠ 10
Answer: D
, 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.
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 ∧ ~s
A) p s (~p ∧ ~s) B) p s (~p ∧ ~s) C) p s (~p ∧ ~s) D) p s (~p ∧ ~s)
T T T T T F T T F T T F
T F F T F F T F F T F T
F T F F T F F T F F T T
F F T F F F F F T F F T
Answer: C
21) s ∨ ~(r ∧ p)
A) s r p s ∨ ~(r ∧ p) B) s r p s ∨ ~(r ∧ p)
T T T T T T T T
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
F T F T F T F T
F F T T F F T T
F F F F F F F T
Answer: B
22) (p ∧ ~q) ∧ t
A) p q t (p ∧ ~q) ∧ B) p q t (p ∧ ~q) ∧ t
T T T F T T T F
T T F F T T F F
T F T F T F T T
T F F F T F F F
F T T F F T T F
F T F T F T F F
F F T T F F T F
F F F T F F F F
Answer: B
TO MATHEMATICS FOR ELEMENTARY SCHOOL
TEACHERS
,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?
A) Not a statement B) False statement C) True statement
Answer: A
2) This room is big.
A) True statement B) Not a statement C) False statement
Answer: B
3) 5 - 1 = 4
A) True statement B) Not a statement C) False statement
Answer: A
4) 7x + y = 3
A) False statement B) True statement C) Not a statement
Answer: C
5) Can you bring the book?
A) True statement B) Not a statement C) False statement
Answer: B
6) x + y = x - y, where y = 0
A) False statement B) True statement C) Not a statement
Answer: B
7) 12 = 3y
A) Not a statement B) False statement C) True statement
Answer: A
8) 2.4 = 5.2
A) False statement B) Not a statement C) True statement
Answer: A
9) The state of California is in North America.
A) Not a statement B) False statement C) True statement
Answer: C
10) Brazil is in Asia.
A) True statement B) Not a statement C) False statement
Answer: C
Use a quantifier to make the following true or false, as indicated, where x is a natural number.
11) x + x = 6 (make true)
A) There is no natural number x such that x + x = 6.
B) For all natural numbers x, x + x = 6.
C) There exists a natural number x such that x + x = 6.
D) For every natural number x, x + x = 6.
Answer: C
, 12) x3 = 8 (make true)
A) No natural number x exists such that x3 = 8.
B) Every natural number x satisfies x3 = 8.
C) There exists a natural number x such that x3 = 8.
D) Three natural numbers x exist such that x3 = 8.
Answer: C
13) 2x + 1 = 5 - x (make true)
A) No natural number x exists such that 2x + 1 = 5 - x.
B) There exists a natural number x such that 2x + 1 = 5 - x.
C) Only two natural numbers x exist such that 2x + 1 = 5 - x.
D) For every natural number x, 2x + 1 = 5 - x.
Answer: B
14) 12x = 5x + 7x (make false)
A) For every natural number x, 12x = 5x + 7x.
B) There is no natural number x such that 12x = 5x + 7x.
C) More than one natural number x exists such that 12x = 5x + 7x.
D) There exists a natural number x such that 12x = 5x + 7x.
Answer: B
15) x - 13 = 13 - x (make false)
A) For x = 13, x - 13 = 13 - x.
B) There exists a natural number x such that x - 13 = 13 - x.
C) At least one natural number x exists such that x - 13 = 13 - x.
D) There is no natural number x such that x - 13 = 13 - x.
Answer: D
16) 4x = 7x (make false)
A) There is no natural number x such that 4x = 7x.
B) For every natural number x, 4x = 7x.
C) No natural number x satisfies 4x = 7x.
Answer: B
Write the statement indicated.
17) Write the negation of the following:
The test is difficult.
A) The test is not difficult. B) The test is not very easy.
C) The test is very difficult. D) The test is not easy.
Answer: A
18) Write the negation of the following:
8 + 2 = 10
A) 8 + 2 = 12 B) 8 + 2 = 2 + 8
C) The sum of 8 and 2 is ten. D) 8 + 2 ≠ 10
Answer: D
, 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.
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 ∧ ~s
A) p s (~p ∧ ~s) B) p s (~p ∧ ~s) C) p s (~p ∧ ~s) D) p s (~p ∧ ~s)
T T T T T F T T F T T F
T F F T F F T F F T F T
F T F F T F F T F F T T
F F T F F F F F T F F T
Answer: C
21) s ∨ ~(r ∧ p)
A) s r p s ∨ ~(r ∧ p) B) s r p s ∨ ~(r ∧ p)
T T T T T T T T
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
F T F T F T F T
F F T T F F T T
F F F F F F F T
Answer: B
22) (p ∧ ~q) ∧ t
A) p q t (p ∧ ~q) ∧ B) p q t (p ∧ ~q) ∧ t
T T T F T T T F
T T F F T T F F
T F T F T F T T
T F F F T F F F
F T T F F T T F
F T F T F T F F
F F T T F F T F
F F F T F F F F
Answer: B
