g g g g g g g g g g
Elementary School Teachers 12th Edition Billstein
g g g g g g
1
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g g g g g g g g g g
Elementary School Teachers 12th Edition Billstein
g g g g g g
MULTIPLE gCHOICE. g Choose g the g one g alternative g that g best g completes g the g statement g or g answers g the g question.
Determine g whether g the g following g is ga g statement. gIf g it gis, gthen galso gclassify g the g statement g as gtrue g or g false.
1) Why gdon't gyou gcome ghere?
A) Not ga gstatement B) gFalse gstatement C) gTrue gstatement
g Answer: g A
2) This groom g is gbig.
A) True gstatement B) gNot ga gstatement C) gFalse gstatement
g Answer: g B
3) 5 g- g1 g= g4
A) True gstatement B) gNot ga gstatement C) gFalse gstatement
g Answer: g A
4) 7x g+ gy g= g3
A) False gstatement B) gTrue gstatement C) gNot ga
g statement gAnswer: g C
5) Can gyou gbring gthe gbook?
A) True gstatement B) gNot ga gstatement C) gFalse gstatement
g Answer: g B
6) x g+ gy g= gx g- gy, gwhere gy g= g0
A) False gstatement B) gTrue gstatement C) gNot ga
g statement gAnswer: g B
7) 12 g= g3y
A) Not ga gstatement B) gFalse gstatement C) gTrue gstatement
g Answer: g A
8) 2.4 g = g5.2
A) False gstatement B) gNot ga gstatement C) gTrue gstatement
g Answer: g A
9) The gstate gof gCalifornia g is gin gNorth g America.
A) Not ga gstatement B) gFalse gstatement C) gTrue gstatement
g Answer: g C
10) Brazil g is gin gAsia.
A) True gstatement B) gNot ga gstatement C) gFalse gstatement
g Answer: g C
Use ga g quantifier g to gmake g the g following gtrue g or g false, gas g indicated, gwhere g x gis ga g natural g number.
11) x g+ g x g= g6 g (make gtrue)
A) There g is gno gnatural g number gx g such gthat gx g+ gx g= g6.
B) For gall g natural g numbers gx, g x g+ g x g= g6.
C) There gexists ga gnatural gnumber gx gsuch gthat gx g+ gx g= g6.
D) For gevery gnatural gnumber gx, gx g+ gx g=
6. gAnswer: g C
g
2
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g g g g g g g g g g
Elementary School Teachers 12th Edition Billstein
g g g g g g
12) x3 g= g8 g (make gtrue)
A) No gnatural gnumber gx gexists gsuch gthat gx3 g= g8.
B) Every g natural g number g x g satisfies g x3 g = g8.
C) There gexists ga gnatural gnumber gx gsuch gthat gx3 g= g8.
D) Three gnatural gnumbers gx gexist gsuch gthat gx3 g=
8. gAnswer: g C
g
13) 2x g+ g1 g= g5 g- gx g (make gtrue)
A) No gnatural g number gx g exists g such g that g2x g+ g1 g = g5 g - g x.
B) There g exists g a g natural g number gx g such gthat g2x g+ g1 g = g5 g - g x.
C) Only gtwo gnatural gnumbers gx gexist gsuch gthat g2x g+ g1 g= g5 g- gx.
D) For gevery gnatural gnumber gx, g2x g+ g1 g= g5 g-
x. gAnswer: g B
g
14) 12x g= g5x g+ g7x g (make gfalse)
A) For gevery g natural g number gx, g12x g = g5x g + g7x.
B) There g is gno gnatural g number gx g such gthat g12x g = g5x g + g7x.
C) More gthan g one gnatural g number gx g exists g such gthat g 12x g = g5x g + g7x.
D) There gexists ga gnatural gnumber gx gsuch gthat g12x g= g5x g+
g 7x. gAnswer: g B
15) x g- g13 g= g13 g- gx g (make gfalse)
A) For gx g= g13, gx g- g13 g= g13 g- gx.
B) There g exists g a g natural g number g x g such g that g x g - g 13 g = g13 g- g x.
C) At g least g one g natural g number g x g exists g such g that g x g - g13 g= g13 g- g x.
D) There gis gno gnatural gnumber gx gsuch gthat gx g- g13 g= g13 g-
g x. gAnswer: gD
16) 4x g= g7x g (make gfalse)
A) There gis gno gnatural gnumber gx gsuch gthat g4x g= g7x.
B) For g every g natural g number g x, g4x g = g7x.
C) No gnatural gnumber gx gsatisfies g4x g= g7x.
g Answer: g B
Write g the g statement g indicated.
17) Write gthe gnegation gof gthe
gfollowing: gThe gtest gis gdifficult.
A) The gtest gis gnot gdifficult. B) g The gtest gis gnot gvery geasy.
C) gThe gtest gis gvery gdifficult. D) gThe gtest gis gnot
g easy. gAnswer: g A
18) Write gthe gnegation gof gthe
gfollowing: g8 g+ g2 g= g10
A) 8 g + g 2 g= g12 B) g 8 g + g2 g= g2 g+ g8
C) gThe gsum gof g8 gand g2 gis gten. D) g8 g+ g2 g≠
g 10 gAnswer: g D
3
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g g g g g g g g g g
Elementary School Teachers 12th Edition Billstein
g g g g g g
SHORT gANSWER. g Write g the g word gor g phrase g that g best g completes g each gstatement g or g answers g the g question.
Provide g an g appropriate g response.
19) Negate gthe gfollowing: gThe gstore gis gsometimes gopen gon
Sunday. gAnswer: g The gstore gis gnever gopen gon gSunday.
g
MULTIPLE gCHOICE. g Choose g the g one g alternative g that g best g completes g the g statement g or g answers g the g question.
Construct ga g truth gtable g for g the
g statement.
20) ~p g∧ g~s B) p g g s g (~p g∧ C) p s (~p g∧ g ~s) D) p g g s g (~p g∧ g ~s)
A) p s (~p g∧ g ~s) g ~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: g C
21) s g∨ g~(r g∧ g p)
A) g s r p s g∨ g~(r g∧ B) g s r p s g∨ g~(r g∧ g p)
g 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 g∧ g ~q) g∧ g t
A) g p q t (p g∧ g ~q) g∧ g t B) g p q t (p g∧ g ~q) g∧ g 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: g B
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