TEST ztBANK - $ztTeachers by $ztRick $ztBillstein, $ztShlomo ...

TEST $ztBANK A $ztProblem-Solving $ztApproach $ztto $ztMathematics $ztfor $ztElementary $ztSchool $ztTeachers by $ztRick $ztBillstein, $ztShlomo $ztLibeskind, $ztJohnny $ztLott 13th $ztEdition.

FULL $ztTEST $ztBANK!!! 1 / 4

1 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)

• True statement B) Not a statement C) False statement

Answer: B

2) This room is big. 2)

• False statement B) True statement C) Not a statement

Answer: C

3) 5 - 1 = 4 3)

• True statement B) Not a statement C) False statement

Answer: A

4) 7x + y = 3 4)

• False statement B) Not a statement C) True statement

Answer: B

5) Can you bring the book? 5)

• False statement B) True statement C) Not a statement

Answer: C

6) x + y = x - y, where y = 0 6)

• Not a statement B) True statement C) False statement

Answer: B

7) 12 = 3y 7)

• False statement B) True statement C) Not a statement

Answer: C

8) 2.4 = 5.2 8)

• Not a statement B) False statement C) True statement

Answer: B

9) The state of California is in North America. 9)

• Not a statement B) True statement C) False statement

Answer: B

10) Brazil is in Asia. 10)

• True statement B) Not a statement C) False statement

Answer: C 2 / 4

2 Use $zta $ztquantifier $ztto $z tmake $ztthe $ztfollowing $zttrue $ztor $ztfalse, $ztas $ztindicated, $ztwhere $ztx $ztis $zta $ztnatural $ztnumber.11) x $zt+ $ z tx $zt= $ z t6 $zt(make $ zttrue) 11) $ z t

• There $ztis $ztno $ztnatural $ztnumber $ztx $ztsuch $ ztthat $ztx $zt+ $ z tx $zt= $ z t6.
• There $ztexists $zta $ztnatural $ztnumber $ztx $ztsuch $ztthat $ztx $zt+ $ z tx $zt= $ zt6.
• For $ztevery $ztnatural $ztnumber $ztx, $ztx $zt+ $ z tx $zt= $z t6.
• For $ztall $ztnatural $ztnumbers $ztx, $ztx

$zt+ $ztx $zt= $zt6. $ztAnswer: $ z tB

12) x

• $zt

= $ z t8 $zt(make $zttrue) 12) $zt

• No $ztnatural $ztnumber $ztx $ ztexists $ztsuch $ztthat $ztx
• $ zt

= $ z t8.

• Every $ztnatural $ ztnumber $ ztx $ztsatisfies $ztx
• $zt

= $ z t8.

• Three $ztnatural $z tnumbers $ztx $ztexist $ztsuch $ztthat $ztx
• $zt

= $ z t8.

• There $ztexists $zta $ztnatural $ztnumber $ztx $ztsuch

$ztthat $ztx

• $zt

= $zt8. $ztAnswer: $ztD

13) 2x $zt+ $ z t1 $zt= $ z t5 $zt- $ z tx $zt(make $zttrue) 13) $ z t

• Only $zttwo $ztnatural $ z tnumbers $ ztx $ztexist $z tsuch $ ztthat $zt2x $z t+ $ z t1 $zt= $ z t5 $zt- $ z tx.
• No $ztnatural $ z tnumber $ztx $ztexists $ztsuch $ztthat $ z t2x $ zt+ $ z t1 $zt= $ z t5 $zt- $ z tx.
• For $ztevery $ztnatural $ z tnumber $ztx, $zt2x $zt+ $ z t1 $zt= $ z t5 $zt- $ z tx.
• There $ztexists $zta $ztnatural $ztnumber $ztx $ztsuch $ztthat $zt2x

$zt+ $zt1 $zt= $zt5 $zt- $ztx. $ztAnswer: $ z tD

14) 12x $ zt= $ z t5x $zt+ $ z t7x $ z t(make $ z tfalse) 14) $ z t

• More $ztthan $ztone $ztnatural $ztnumber $ztx $ztexists $ztsuch $ztthat $ z t12x $ zt= $zt5x $zt+ $ z t7x.
• For $ztevery $ztnatural $ztnumber $ztx, $zt12x $zt= $z t5x $zt+ $ z t7x.
• There $ztexists $zta $z tnatural $ztnumber $ztx $ztsuch $ ztthat $ zt12x $zt= $ zt5x $z t+ $ z t7x.
• There $ztis $ztno $ztnatural $ztnumber $ztx $ztsuch $ztthat $zt12x

$zt= $zt5x $zt+ $zt7x. $ztAnswer: $ z tD

15) x $zt- $ z t13 $zt= $zt13 $zt- $ z tx $zt(make $ztfalse) 15) $zt

• There $ztexists $zta $ztnatural $ztnumber $ z tx $ztsuch $ z tthat $ z tx $zt- $ z t13 $zt= $ z t13 $zt- $ z tx.
• At $ztleast $ztone $ztnatural $ z tnumber $ ztx $ ztexists $ z tsuch $ztthat $ztx $ zt- $ z t13 $zt= $ z t13 $zt- $ z tx.
• There $ztis $ztno $ztnatural $ z tnumber $ z tx $ztsuch $ztthat $ztx $zt- $ z t13 $zt= $ z t13 $zt- $ z tx.
• For $ztx $ zt= $ z t13, $ztx $zt- $ z t13 $zt= $ z t13 $zt- $ z tx.

Answer: $ztC

16) 4x $zt= $ z t7x $zt(make $ztfalse) 16) $zt

• No $ ztnatural $ztnumber $ztx $ ztsatisfies $zt4x $zt= $ z t7x.
• There $ztis $ztno $ztnatural $ztnumber $z tx $ztsuch $ ztthat $zt4x $zt= $ z t7x.
• For $ztevery $ztnatural $ztnumber $ztx,

$zt4x $zt= $zt7x. $ztAnswer: $ z tC

Write $ztthe $ztstatement $ztindicated.17) Write $ztthe $ztnegation $ztof $ztthe

$ztfollowing: $ztThe $zttest $ztis

$ztdifficult.

• The $zttest $ztis $ztnot $zteasy. B) $ z tThe $zttest $ztis $ztvery $ztdifficult.
• $ztThe $zttest $ztis $ztnot $ztdifficult. D) $ztThe $zttest $ztis $ztnot $ztvery

$zteasy. $ztAnswer: $ z tC

17) $ z t 3 / 4

3 18) Write $ztthe $ztnegation $ztof $ztthe

$ztfollowing: $zt8 $zt+ $zt2 $zt= $zt10

• 8 $zt+ $ z t2 $zt= $ z t12 B) $ztThe $ztsum $ztof $zt8 $ztand $zt2 $ztis $ztten.
• $zt8 $zt+ $ z t2 $zt× $zt10 D) $ z t8 $zt+ $ z t2 $zt= $ z t2 $zt+ $ z t8

Answer: $ztC

SHORT $ztANSWER. $ztWrite $ztthe $ztword $ztor $ztphrase $ztthat $ztbest $ztcompletes $zteach $ztstatement $ztor $ztanswers $ztthe $ztquestion. $ztProvide $ztan $ztappropriate $ztresponse.19) Negate $ztthe $ztfollowing: $ztThe $ztstore $ztis $ztsometimes $ztopen $zton $ztSunday. 19)

$ztAnswer: $ z tThe $ztstore $ztis $ztnever $ztopen $zton $ztSunday.

MULTIPLE $ztCHOICE. $ztChoose $ztthe $ztone $ztalternative $ztthat $ztbest $ztcompletes $ztthe $ztstatement $ztor $ztanswers $ztthe $ztquestion.18) $ z t Construct $zta $zttruth $zttable $ztfor $ztthe $ztstatement.20) ~p $ztA~s 20) $ z t

• p $zts $ z t(~p $ztA~s) B) $ztp $zts $zt(~p $ztA~s)

$zt

Answer: $ztA

22) (p $ztA~q) $ztAt 22) $zt

• p q t (p $ztA~q) $ z tAt B) $ztp q t (p $ztA~q) $ztAt

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

T T F T T F

T F F T F T

F T F F T T

F F F F F T

• $ztp

$ z t T s $z t T (~p $ztA~s) T

• $ztp

$ z t T s $ z t T (~p $ztA~s) F

T F F T F F

F T F F T F

F F T F F T

Answer: $ztD

21) $ z ts $ztV~(r $ztAp)

• $zts r

21) p s $ztV~(r $ztAp)

• $zts r p s $ztV~(r $ z tAp)

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

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