TEST BANK $zt
A Problem-Solving Approach to Mathematics for Elementary School
$zt $zt $zt $zt $zt $zt $zt
Teachers
$zt
by Rick Billstein, Shlomo Libeskind, Johnny Lott
$zt $zt $zt $zt $zt $zt
13th Edition.
$zt
FULL TEST BANK!!! $zt $zt
,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
,Use $zta $ztquantifier $ztto $zt make $ztthe $ztfollowing $zt true $ztor $ztfalse, $ztas $ztindicated, $ztwhere $ztx $ztis $zta $ztnatural $zt number.
11) x $zt+ $ z t x $zt= $zt 6 $ z t (make $zt true) 11) $ z t
A) There $ztis $ztno $ztnatural $zt number $ztx $ztsuch $zt that $ztx $zt+ $ z t x $zt= $zt6.
B) There $ztexists $zta $ztnatural $zt number $ztx $ztsuch $zt that $ztx $zt+ $ z t x $zt= $zt 6.
C) For $ztevery $ztnatural $ztnumber $ztx, $ztx $zt+ $ z t x $zt= $zt6.
D) For $ztall $ztnatural $ztnumbers $ztx, $ztx
$zt + $ztx $zt= $zt6. $ztAnswer: $z t B
12) x3 $zt= $ z t 8 $ z t (make $zt true) 12) $ z t
A) No $ztnatural $ztnumber $zt x $zt exists $ztsuch $zt that $ztx3 $zt = $zt8.
B) Every $ztnatural $zt number $zt x $zt satisfies $zt x3 $zt= $ z t 8.
C) Three $ztnatural $zt numbers $ztx $ztexist $ztsuch $ztthat $ztx3 $zt = $zt 8.
D) There $ztexists $zta $ztnatural $ztnumber $ztx $ztsuch
$zt that $ztx3 $zt= $zt8. $ztAnswer: $ztD
13) 2x $zt+ $ z t 1 $zt= $ z t 5 $zt- $ z t x $ z t (make $zttrue) 13) $ z t
A) Only $zttwo $ztnatural $zt numbers $zt x $ztexist $zt such $zt that $zt 2x $zt + $ z t 1 $zt= $ z t 5 $zt- $ z t x.
B) No $ztnatural $z t number $ztx $ztexists $ztsuch $ztthat $ zt 2x $zt + $ z t 1 $zt= $zt 5 $zt- $ z t x.
C) For $ztevery $ztnatural $ z t number $ztx, $zt2x $zt+ $ z t 1 $zt= $ z t 5 $zt- $ z t x.
D) There $ztexists $zta $ztnatural $ztnumber $ztx $ztsuch $ztthat $zt2x
$zt + $zt1 $zt= $zt5 $zt- $ztx. $ztAnswer: $ zt D
14) 12x $zt = $zt 5x $zt+ $ z t 7x $ z t (make $zt false) 14) $ z t
A) More $ztthan $ztone $ztnatural $ztnumber $zt x $zt exists $ztsuch $ztthat $zt 12x $zt = $zt5x $zt + $ z t 7x.
B) For $ztevery $ztnatural $ztnumber $ztx, $zt12x $zt= $zt5x $zt+ $ z t 7x.
C) There $ztexists $zta $zt natural $ztnumber $zt x $ztsuch $zt that $zt 12x $zt= $zt 5x $zt + $ z t 7x.
D) There $ztis $ztno $ztnatural $ztnumber $ztx $ztsuch $ztthat $zt12x
$zt = $zt5x $zt+ $zt7x. $ztAnswer: $ zt D
15) x $zt- $ z t 13 $zt= $zt13 $zt- $ z t x $ z t (make $ztfalse) 15) $ z t
A) There $zt exists $zt a $zt natural $ z t number $zt x $ztsuch $zt that $zt x $zt- $ z t 13 $zt= $zt 13 $zt- $ z t x.
B) At $ztleast $ztone $zt natural $zt number $zt x $zt exists $zt such $zt that $ztx $zt - $ z t 13 $zt= $ z t 13 $zt- $ z t x.
C) There $ztis $ztno $ztnatural $ z t number $ z t x $ztsuch $zt that $ztx $zt - $ z t 13 $zt= $ z t 13 $zt- $ z t x.
D) For $ztx $zt = $ z t 13, $ztx $zt- $ z t 13 $zt= $ z t 13 $zt- $ z t x.
Answer: $ztC
16) 4x $zt= $ z t 7x $ z t (make $ztfalse) 16) $ z t
A) No $zt natural $zt number $zt x $zt satisfies $zt4x $zt= $ z t 7x.
B) There $ztis $ztno $ztnatural $zt number $zt x $ztsuch $zt that $zt4x $zt = $zt 7x.
C) For $ztevery $ztnatural $ztnumber $ztx,
$zt 4x $zt= $zt7x. $ztAnswer: $ zt C
Write $ztthe $ztstatement $ztindicated.
17) Write $ztthe $ztnegation $ztof $ztthe 17) $ z t
$ztfollowing: $ztThe $zttest $ztis
$ztdifficult.
A) The $zttest $ztis $ztnot $zteasy. B) $zt The $zttest $ztis $ztvery $ztdifficult.
C) $ztThe $zttest $ztis $ztnot $ztdifficult. D) $ztThe $zttest $ztis $ztnot $ztvery
$zt easy. $ztAnswer: $ zt C
2
, 18) Write $ztthe $ztnegation $ztof $ztthe 18) $ z t
$ztfollowing: $zt8 $zt+ $zt2 $zt= $zt10
A) 8 $zt+ $ z t 2 $zt= $ z t 12 B) $ z t The $ztsum $ztof $zt8 $ztand $zt2 $ztis $ztten.
C) $zt 8 $zt+ $zt 2 $zt× $zt10 D) $zt 8 $zt+ $ z t 2 $zt= $zt 2 $zt+ $ z t 8
Answer: $ztC
SHORT $ztANSWER. $ztWrite $ztthe $ztword $ztor $ztphrase $ztthat $ztbest $ztcompletes $zteach $ztstatement $ztor
$zt answers $ztthe $ztquestion. $ztProvide $ztan $ztappropriate $ztresponse.
19) Negate $ztthe $ztfollowing: $ztThe $ztstore $ztis $ztsometimes $ztopen $zton $ztSunday. 19)
Answer:
$zt $ zt The $ztstore $ztis $ztnever $ztopen $zton $ztSunday.
MULTIPLE $ztCHOICE. $ z t Choose $ztthe $zt one $ztalternative $ztthat $ztbest $ztcompletes $ztthe $ztstatement $zt or $ztanswers
$ztthe $zt question.
Construct $zta $zttruth $zttable $ztfor $ztthe $ztstatement.
20) ~p $ztA~s 20) $ z t
A) p $zts $ z t (~p $ztA~s) B) $ z t p $zts $zt (~p $ztA~s)
T T F T T F
T F F T F T
F T F F T T
F F F F F T
C) $zt p s (~p $ztA~s) D) $zt p s (~p $ztA~s)
$ zt $ z T $ zt $ zt F
T t T T
T
T F F T F F
F T F F T F
F F T F F T
Answer: $ztD $zt
21) $ z t s $ztV~(r 21)
$zt Ap) p s $ztV~(r B) $ z t s r p s $ztV~(r $zt Ap)
A) $ z t s r $ z t 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
Answer: F $ztA
T F T F T F T
F F T T F F T T
F $Fz t At F
22) (p $zt A~q) T F F F F 22) $ z t
A) p q t (p $zt A~q) $ z t At B) $ z t p q t (p $zt A~q) $ z t 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
Answer: $ztA
3
A Problem-Solving Approach to Mathematics for Elementary School
$zt $zt $zt $zt $zt $zt $zt
Teachers
$zt
by Rick Billstein, Shlomo Libeskind, Johnny Lott
$zt $zt $zt $zt $zt $zt
13th Edition.
$zt
FULL TEST BANK!!! $zt $zt
,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
,Use $zta $ztquantifier $ztto $zt make $ztthe $ztfollowing $zt true $ztor $ztfalse, $ztas $ztindicated, $ztwhere $ztx $ztis $zta $ztnatural $zt number.
11) x $zt+ $ z t x $zt= $zt 6 $ z t (make $zt true) 11) $ z t
A) There $ztis $ztno $ztnatural $zt number $ztx $ztsuch $zt that $ztx $zt+ $ z t x $zt= $zt6.
B) There $ztexists $zta $ztnatural $zt number $ztx $ztsuch $zt that $ztx $zt+ $ z t x $zt= $zt 6.
C) For $ztevery $ztnatural $ztnumber $ztx, $ztx $zt+ $ z t x $zt= $zt6.
D) For $ztall $ztnatural $ztnumbers $ztx, $ztx
$zt + $ztx $zt= $zt6. $ztAnswer: $z t B
12) x3 $zt= $ z t 8 $ z t (make $zt true) 12) $ z t
A) No $ztnatural $ztnumber $zt x $zt exists $ztsuch $zt that $ztx3 $zt = $zt8.
B) Every $ztnatural $zt number $zt x $zt satisfies $zt x3 $zt= $ z t 8.
C) Three $ztnatural $zt numbers $ztx $ztexist $ztsuch $ztthat $ztx3 $zt = $zt 8.
D) There $ztexists $zta $ztnatural $ztnumber $ztx $ztsuch
$zt that $ztx3 $zt= $zt8. $ztAnswer: $ztD
13) 2x $zt+ $ z t 1 $zt= $ z t 5 $zt- $ z t x $ z t (make $zttrue) 13) $ z t
A) Only $zttwo $ztnatural $zt numbers $zt x $ztexist $zt such $zt that $zt 2x $zt + $ z t 1 $zt= $ z t 5 $zt- $ z t x.
B) No $ztnatural $z t number $ztx $ztexists $ztsuch $ztthat $ zt 2x $zt + $ z t 1 $zt= $zt 5 $zt- $ z t x.
C) For $ztevery $ztnatural $ z t number $ztx, $zt2x $zt+ $ z t 1 $zt= $ z t 5 $zt- $ z t x.
D) There $ztexists $zta $ztnatural $ztnumber $ztx $ztsuch $ztthat $zt2x
$zt + $zt1 $zt= $zt5 $zt- $ztx. $ztAnswer: $ zt D
14) 12x $zt = $zt 5x $zt+ $ z t 7x $ z t (make $zt false) 14) $ z t
A) More $ztthan $ztone $ztnatural $ztnumber $zt x $zt exists $ztsuch $ztthat $zt 12x $zt = $zt5x $zt + $ z t 7x.
B) For $ztevery $ztnatural $ztnumber $ztx, $zt12x $zt= $zt5x $zt+ $ z t 7x.
C) There $ztexists $zta $zt natural $ztnumber $zt x $ztsuch $zt that $zt 12x $zt= $zt 5x $zt + $ z t 7x.
D) There $ztis $ztno $ztnatural $ztnumber $ztx $ztsuch $ztthat $zt12x
$zt = $zt5x $zt+ $zt7x. $ztAnswer: $ zt D
15) x $zt- $ z t 13 $zt= $zt13 $zt- $ z t x $ z t (make $ztfalse) 15) $ z t
A) There $zt exists $zt a $zt natural $ z t number $zt x $ztsuch $zt that $zt x $zt- $ z t 13 $zt= $zt 13 $zt- $ z t x.
B) At $ztleast $ztone $zt natural $zt number $zt x $zt exists $zt such $zt that $ztx $zt - $ z t 13 $zt= $ z t 13 $zt- $ z t x.
C) There $ztis $ztno $ztnatural $ z t number $ z t x $ztsuch $zt that $ztx $zt - $ z t 13 $zt= $ z t 13 $zt- $ z t x.
D) For $ztx $zt = $ z t 13, $ztx $zt- $ z t 13 $zt= $ z t 13 $zt- $ z t x.
Answer: $ztC
16) 4x $zt= $ z t 7x $ z t (make $ztfalse) 16) $ z t
A) No $zt natural $zt number $zt x $zt satisfies $zt4x $zt= $ z t 7x.
B) There $ztis $ztno $ztnatural $zt number $zt x $ztsuch $zt that $zt4x $zt = $zt 7x.
C) For $ztevery $ztnatural $ztnumber $ztx,
$zt 4x $zt= $zt7x. $ztAnswer: $ zt C
Write $ztthe $ztstatement $ztindicated.
17) Write $ztthe $ztnegation $ztof $ztthe 17) $ z t
$ztfollowing: $ztThe $zttest $ztis
$ztdifficult.
A) The $zttest $ztis $ztnot $zteasy. B) $zt The $zttest $ztis $ztvery $ztdifficult.
C) $ztThe $zttest $ztis $ztnot $ztdifficult. D) $ztThe $zttest $ztis $ztnot $ztvery
$zt easy. $ztAnswer: $ zt C
2
, 18) Write $ztthe $ztnegation $ztof $ztthe 18) $ z t
$ztfollowing: $zt8 $zt+ $zt2 $zt= $zt10
A) 8 $zt+ $ z t 2 $zt= $ z t 12 B) $ z t The $ztsum $ztof $zt8 $ztand $zt2 $ztis $ztten.
C) $zt 8 $zt+ $zt 2 $zt× $zt10 D) $zt 8 $zt+ $ z t 2 $zt= $zt 2 $zt+ $ z t 8
Answer: $ztC
SHORT $ztANSWER. $ztWrite $ztthe $ztword $ztor $ztphrase $ztthat $ztbest $ztcompletes $zteach $ztstatement $ztor
$zt answers $ztthe $ztquestion. $ztProvide $ztan $ztappropriate $ztresponse.
19) Negate $ztthe $ztfollowing: $ztThe $ztstore $ztis $ztsometimes $ztopen $zton $ztSunday. 19)
Answer:
$zt $ zt The $ztstore $ztis $ztnever $ztopen $zton $ztSunday.
MULTIPLE $ztCHOICE. $ z t Choose $ztthe $zt one $ztalternative $ztthat $ztbest $ztcompletes $ztthe $ztstatement $zt or $ztanswers
$ztthe $zt question.
Construct $zta $zttruth $zttable $ztfor $ztthe $ztstatement.
20) ~p $ztA~s 20) $ z t
A) p $zts $ z t (~p $ztA~s) B) $ z t p $zts $zt (~p $ztA~s)
T T F T T F
T F F T F T
F T F F T T
F F F F F T
C) $zt p s (~p $ztA~s) D) $zt p s (~p $ztA~s)
$ zt $ z T $ zt $ zt F
T t T T
T
T F F T F F
F T F F T F
F F T F F T
Answer: $ztD $zt
21) $ z t s $ztV~(r 21)
$zt Ap) p s $ztV~(r B) $ z t s r p s $ztV~(r $zt Ap)
A) $ z t s r $ z t 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
Answer: F $ztA
T F T F T F T
F F T T F F T T
F $Fz t At F
22) (p $zt A~q) T F F F F 22) $ z t
A) p q t (p $zt A~q) $ z t At B) $ z t p q t (p $zt A~q) $ z t 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
Answer: $ztA
3
