SCHOLARVAULT
,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)
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
Answer: C
6) x + y = x - y, where y = 0 6)
A) Not a statement B) True statement C) False statement
Answer: B
7) 12 = 3y 7)
A) False statement B) True statement C) Not a statement
Answer: C
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
Answer: B
10) Brazil is in Asia. 10)
A) True statement B) Not a statement C) False statement
Answer: C
1
SCHOLARVAULT
,Use #cfa #cfquantifier #cfto #c f make #cfthe #cf following #cf true #cfor #cf false, #cfas #cfindicated, #cfwhere #cfx #cf is #cfa #cfnatural #c f number.
11) x #cf+ # c f x #cf= #cf 6 # c f (make #cf true) 11) # c f
A) There #cfis #cfno #cfnatural #cf number #cfx #cfsuch #cf that #cfx #cf+ # c f x #cf= #cf 6.
B) There #cfexists #cfa #cfnatural #cf number #cfx #cfsuch #c fthat #cfx #cf+ # c f x #cf= #cf 6.
C) For #cfevery #cfnatural #cfnumber #cfx, #cfx #cf+ # c f x #cf= #cf 6.
D) For #cfall #cfnatural #cfnumbers #cfx, #cfx
#cf + #cfx #cf= #cf6. #cfAnswer: #c f B
12) x3 #cf = #c f 8 # c f #cf (make #c f true) 12) # c f
A) No #cfnatural #c f number #cf x #c f exists #cf such #c f that #c f x3 #c f = #c f 8.
B) Every #c f natural #c f number #c f x #c f satisfies #c f x3 #c f = # c f 8.
C) Three #c f natural #c f numbers #c fx #cf exist #cf such #cfthat #c f x3 #c f = # c f 8.
D) There #cfexists #cfa #cfnatural #cfnumber #cfx #cfsuch
#cf that #cfx3 #cf= #cf8. #cfAnswer: #cfD
13) 2x #cf+ #cf1 #cf= #cf5 #cf- #cf x # c f (make #cftrue) 13) # c f
A) Only #cftwo #cfnatural #c f numbers #c f x #cf exist #c f such #cf that #cf2x #c f + # c f 1 #c f = #c f 5 #c f - # c f x.
B) No #cfnatural #c f number #cfx #cfexists #cfsuch #cf that #c f 2x #c f + # c f 1 #cf= #c f 5 #c f - # c f x.
C) For #cfevery #cfnatural #c f number #cfx, #cf2x #cf + # c f 1 #c f = #c f 5 #cf - # c f x.
D) There #cfexists #cfa #cfnatural #cfnumber #cfx #cfsuch #cfthat #cf2x
#cf + #cf1 #cf= #cf5 #cf- #cfx. #cfAnswer: #c f D
14) 12x #cf = #c f 5x #c f + # c f 7x # c f (make #c f false) 14) # c f
A) More #cfthan #cfone #cfnatural #cfnumber #cfx #c f exists #cfsuch #cf that #c f 12x #c f = #cf 5x #c f + # c f 7x.
B) For #cfevery #cfnatural #cfnumber #cfx, #cf12x #cf= #cf 5x #cf + # c f 7x.
C) There #cfexists #cfa #c f natural #cfnumber #cfx #cfsuch #cf that #cf12x #cf= #cf 5x #c f+ # c f 7x.
D) There #cfis #cfno #cfnatural #cfnumber #cfx #cfsuch #cfthat #cf12x
#cf = #cf5x #cf+ #cf7x. #cfAnswer: #c f D
15) x #cf- #cf13 #cf= #cf13 #cf- #cf x # c f (make #cffalse) 15) # c f
A) There #c f exists #c f a #c f natural # c f number #c f x #cf such #c f that #c f x #cf - # c f 13 #cf= #c f 13 #cf- # c f x.
B) At #cfleast #c f one #c f natural #c f number #cf x #c f exists #c f such #c f that #cf x #c f - # c f 13 #cf= # c f 13 #cf- # c f x.
C) There #cfis #cf no #c f natural # c f number #c f x #cf such #c f that #c fx #c f - # c f 13 #cf= # c f 13 #cf- # c f x.
D) For #cfx #c f = #c f 13, #cfx #cf - # c f 13 #cf= # c f 13 #cf- # c f x.
Answer: #cfC
16) 4x #cf = #c f 7x # c f # c f (make #cf false) 16) # c f
A) No #c f natural #c f number #c f x #c f satisfies #cf4x #cf = # c f 7x.
B) There #cfis #cf no #c f natural #c f number #c f x #cfsuch #c f that #c f4x #cf= # c f 7x.
C) For #cfevery #cfnatural #cfnumber #cfx, #cf4x
#cf = #cf7x. #cfAnswer: #c f C
Write #cfthe #cfstatement #cfindicated.
17) Write #cfthe #cfnegation #cfof #cfthe 17) # c f
#cffollowing: #cfThe #cftest #cfis
#cfdifficult.
A) The #cftest #cfis #cfnot #cfeasy. B) #c f The #cftest #cfis #cfvery #cfdifficult.
C) #cfThe #cftest #cfis #cfnot #cfdifficult. D) #cfThe #cftest #cfis #cfnot #cfvery
#cf easy. #cfAnswer: #c f C
2
SCHOLARVAULT
, 18) Write #cfthe #cfnegation #cfof #cfthe 18) # c f
#cffollowing: #cf8 #cf+ #cf2 #cf= #cf10
A) 8 #cf+ # c f 2 #cf= #c f 12 B) # c f The #cfsum #cfof #cf8 #c f and #cf2 #cfis #cften.
C) #c f 8 #cf+ #c f 2 #cf× #cf10 D) #c f 8 #cf+ # c f 2 #cf= # c f 2 #cf+ # c f 8
Answer: #cfC
SHORT #cfANSWER. #cfWrite #cfthe #cfword #cfor #cfphrase #cfthat #cfbest #cfcompletes #cfeach #cfstatement #cfor
answers #cfthe #cfquestion. #cfProvide #cfan #cfappropriate #cfresponse.
#cf
19) Negate #cfthe #cffollowing: #cfThe #cfstore #cfis #cfsometimes #cfopen #cfon #cfSunday. 19)
Answer:
#cf #c f The #cfstore #cfis #cfnever #cfopen #cfon #cfSunday.
MULTIPLE #cf CHOICE. # c f Choose #cf the #cf one #cfalternative #cf that #cfbest #cfcompletes #cfthe #cf statement #cf or
#cfanswers #cf the #cf question.
Construct #cfa #cftruth #cftable #cffor #cfthe #cfstatement.
20) ~p #cfA~s 20) # c f
A) p #cf s # c f (~p #cfA~s) B) # c f p #cf s # c f (~p #cfA~s)
T T F T T F
T F F T F T
#cf #c #cf #cf #cf #cf
f
F F F T T
T
F F F F T
F
C) #c f p s (~p #cfA~s) D) #c f p s (~p #cfA~s)
T T T T T F
T F F T F F
F T F F T F
F F T F F T
Answer: #cfD
21) # c f s #cfV~(r 21) # c f
#cf Ap) p s #cfV~(r B) #c f s r p s #cfV~(r
A) # c f s r #c f Ap) #c f Ap)
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 T F F F F
Answer: #cfA
22) (p #cf A~q) # c f At 22) # c f
A) p q t (p #c f A~q) # c f At B) #c f p q t (p #c f A~q) # c f 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
F T F F F T F T
F F T F F F T T
F F F F F F F T
3
SCHOLARVAULT
,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)
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
Answer: C
6) x + y = x - y, where y = 0 6)
A) Not a statement B) True statement C) False statement
Answer: B
7) 12 = 3y 7)
A) False statement B) True statement C) Not a statement
Answer: C
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
Answer: B
10) Brazil is in Asia. 10)
A) True statement B) Not a statement C) False statement
Answer: C
1
SCHOLARVAULT
,Use #cfa #cfquantifier #cfto #c f make #cfthe #cf following #cf true #cfor #cf false, #cfas #cfindicated, #cfwhere #cfx #cf is #cfa #cfnatural #c f number.
11) x #cf+ # c f x #cf= #cf 6 # c f (make #cf true) 11) # c f
A) There #cfis #cfno #cfnatural #cf number #cfx #cfsuch #cf that #cfx #cf+ # c f x #cf= #cf 6.
B) There #cfexists #cfa #cfnatural #cf number #cfx #cfsuch #c fthat #cfx #cf+ # c f x #cf= #cf 6.
C) For #cfevery #cfnatural #cfnumber #cfx, #cfx #cf+ # c f x #cf= #cf 6.
D) For #cfall #cfnatural #cfnumbers #cfx, #cfx
#cf + #cfx #cf= #cf6. #cfAnswer: #c f B
12) x3 #cf = #c f 8 # c f #cf (make #c f true) 12) # c f
A) No #cfnatural #c f number #cf x #c f exists #cf such #c f that #c f x3 #c f = #c f 8.
B) Every #c f natural #c f number #c f x #c f satisfies #c f x3 #c f = # c f 8.
C) Three #c f natural #c f numbers #c fx #cf exist #cf such #cfthat #c f x3 #c f = # c f 8.
D) There #cfexists #cfa #cfnatural #cfnumber #cfx #cfsuch
#cf that #cfx3 #cf= #cf8. #cfAnswer: #cfD
13) 2x #cf+ #cf1 #cf= #cf5 #cf- #cf x # c f (make #cftrue) 13) # c f
A) Only #cftwo #cfnatural #c f numbers #c f x #cf exist #c f such #cf that #cf2x #c f + # c f 1 #c f = #c f 5 #c f - # c f x.
B) No #cfnatural #c f number #cfx #cfexists #cfsuch #cf that #c f 2x #c f + # c f 1 #cf= #c f 5 #c f - # c f x.
C) For #cfevery #cfnatural #c f number #cfx, #cf2x #cf + # c f 1 #c f = #c f 5 #cf - # c f x.
D) There #cfexists #cfa #cfnatural #cfnumber #cfx #cfsuch #cfthat #cf2x
#cf + #cf1 #cf= #cf5 #cf- #cfx. #cfAnswer: #c f D
14) 12x #cf = #c f 5x #c f + # c f 7x # c f (make #c f false) 14) # c f
A) More #cfthan #cfone #cfnatural #cfnumber #cfx #c f exists #cfsuch #cf that #c f 12x #c f = #cf 5x #c f + # c f 7x.
B) For #cfevery #cfnatural #cfnumber #cfx, #cf12x #cf= #cf 5x #cf + # c f 7x.
C) There #cfexists #cfa #c f natural #cfnumber #cfx #cfsuch #cf that #cf12x #cf= #cf 5x #c f+ # c f 7x.
D) There #cfis #cfno #cfnatural #cfnumber #cfx #cfsuch #cfthat #cf12x
#cf = #cf5x #cf+ #cf7x. #cfAnswer: #c f D
15) x #cf- #cf13 #cf= #cf13 #cf- #cf x # c f (make #cffalse) 15) # c f
A) There #c f exists #c f a #c f natural # c f number #c f x #cf such #c f that #c f x #cf - # c f 13 #cf= #c f 13 #cf- # c f x.
B) At #cfleast #c f one #c f natural #c f number #cf x #c f exists #c f such #c f that #cf x #c f - # c f 13 #cf= # c f 13 #cf- # c f x.
C) There #cfis #cf no #c f natural # c f number #c f x #cf such #c f that #c fx #c f - # c f 13 #cf= # c f 13 #cf- # c f x.
D) For #cfx #c f = #c f 13, #cfx #cf - # c f 13 #cf= # c f 13 #cf- # c f x.
Answer: #cfC
16) 4x #cf = #c f 7x # c f # c f (make #cf false) 16) # c f
A) No #c f natural #c f number #c f x #c f satisfies #cf4x #cf = # c f 7x.
B) There #cfis #cf no #c f natural #c f number #c f x #cfsuch #c f that #c f4x #cf= # c f 7x.
C) For #cfevery #cfnatural #cfnumber #cfx, #cf4x
#cf = #cf7x. #cfAnswer: #c f C
Write #cfthe #cfstatement #cfindicated.
17) Write #cfthe #cfnegation #cfof #cfthe 17) # c f
#cffollowing: #cfThe #cftest #cfis
#cfdifficult.
A) The #cftest #cfis #cfnot #cfeasy. B) #c f The #cftest #cfis #cfvery #cfdifficult.
C) #cfThe #cftest #cfis #cfnot #cfdifficult. D) #cfThe #cftest #cfis #cfnot #cfvery
#cf easy. #cfAnswer: #c f C
2
SCHOLARVAULT
, 18) Write #cfthe #cfnegation #cfof #cfthe 18) # c f
#cffollowing: #cf8 #cf+ #cf2 #cf= #cf10
A) 8 #cf+ # c f 2 #cf= #c f 12 B) # c f The #cfsum #cfof #cf8 #c f and #cf2 #cfis #cften.
C) #c f 8 #cf+ #c f 2 #cf× #cf10 D) #c f 8 #cf+ # c f 2 #cf= # c f 2 #cf+ # c f 8
Answer: #cfC
SHORT #cfANSWER. #cfWrite #cfthe #cfword #cfor #cfphrase #cfthat #cfbest #cfcompletes #cfeach #cfstatement #cfor
answers #cfthe #cfquestion. #cfProvide #cfan #cfappropriate #cfresponse.
#cf
19) Negate #cfthe #cffollowing: #cfThe #cfstore #cfis #cfsometimes #cfopen #cfon #cfSunday. 19)
Answer:
#cf #c f The #cfstore #cfis #cfnever #cfopen #cfon #cfSunday.
MULTIPLE #cf CHOICE. # c f Choose #cf the #cf one #cfalternative #cf that #cfbest #cfcompletes #cfthe #cf statement #cf or
#cfanswers #cf the #cf question.
Construct #cfa #cftruth #cftable #cffor #cfthe #cfstatement.
20) ~p #cfA~s 20) # c f
A) p #cf s # c f (~p #cfA~s) B) # c f p #cf s # c f (~p #cfA~s)
T T F T T F
T F F T F T
#cf #c #cf #cf #cf #cf
f
F F F T T
T
F F F F T
F
C) #c f p s (~p #cfA~s) D) #c f p s (~p #cfA~s)
T T T T T F
T F F T F F
F T F F T F
F F T F F T
Answer: #cfD
21) # c f s #cfV~(r 21) # c f
#cf Ap) p s #cfV~(r B) #c f s r p s #cfV~(r
A) # c f s r #c f Ap) #c f Ap)
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 T F F F F
Answer: #cfA
22) (p #cf A~q) # c f At 22) # c f
A) p q t (p #c f A~q) # c f At B) #c f p q t (p #c f A~q) # c f 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
F T F F F T F T
F F T F F F T T
F F F F F F F T
3
SCHOLARVAULT
