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e e e e e e e e e
Utilities 8th Edition Sullivan e e e
Ch. e0 Chapter eR: eReview
0.1 Real eNumbers
1 Work e with e Sets
MULTIPLE e CHOICE. e Choose e the e one e alternative e that e best e completes e the e statement e or e answers e the e question.
Use e U e= euniversal e set e= e{0, e1, e2, e 3, e 4, e5, e6, e 7, e8, e9}, e A e = e{1, e2, e 3, e5, e8}, e B e = e{2, e 3, e 5, e7}, e and e C e = e{1, e4, e 9} e to e find e the
e set.
1) B e∪ e C
A) {1, e2, e3, e 4, e5, e7, e9} B) e { e} C) e {0} D) e {1, e2, e3, e5, e7, e9}
2) A e∪ e C
A) {1, e2, e3, e 4, e5, e8, e9} B) e {4, e6, e7, e9} C) e {1} D) e {1, e2, e3, e5, e7, e9}
3) A e∩ e B
A) {2, e 3, e5} B) e {1, e2, e3, e5, e7, e8} C) e {2, e3, e5, e7} D) e {1, e2, e3, e5, e8}
4) A e∩ e C
A) {1} B) e {1, e2, e3, e4, e5, e7, e8, e9}
C) e {4, e6, e7, e9} D) e {1, e2, e3, e5, e7, e9}
5) (A e ∩ e B) e ∪ e C
A) {1, e2, e 3, e4, e5, e9} B) e {1, e2, e3, e5} C) e {1, e2, e3} D) e {2, e3, e5}
6) (B e ∪ e C) e ∩ e A
A) {1, e2, e 3, e5} B) e {1, e2, e3, e4, e5, e7, e9} C) e { e} D) e {1, e2, e3}
7) B
A) {0, e1, e 4, e6, e8, e9} B) e {1, e4, e6, e8, e9} C) e {0, e1, e4, e6, e7, e8, e9} D) e {0, e1, e4, e6, e9}
8) A e∪ e B
A) {0, e4, e 6, e9} B) e {4, e6, e9} C) e {1, e4, e6, e8, e9} D) e {1, e2, e3, e5, e7, e8}
9) A e∩ e C
A) {0, e2, e3, e4, e5, e6, e7, e8, e 9} B) e {1}
C) {1, e2, e3, e4, e5, e7, e8, e9} D) e {1, e2, e3, e4, e5, e6, e7, e8, e9}
10) B e∩ e C
A) {0, e 6, e8} B) e {6, e8} C) e {1, e2, e3, e4, e5, e7, e9} D) e { e}
2 Classify e Numbers
MULTIPLE e CHOICE. e Choose e the e one e alternative e that e best e completes e the e statement e or e answers e the e question.
List e all e the e elements e of e B e that e belong e to e the e given e set.
e3 e e8 e
1) B e= e 9, 6, e-22, e0, e , e- e , e1.8
8 3
Integers
A) {9, e-22, e0} B) e{9, e0} C) e {9, e-22} D) e {9, e0, 6}
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e e e e e e e e e
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U7tilities 8th Edition Sullivan
e e
e e e
2) B e= e 8, 7, e-18, , e- , e8.7
7e
e0, e
4
Natural e numbers
A) {8} B) e e 8, e0, e- e C) {8, e0} D) e {-18, e0, e 8}
e7
4
e0
3) B e= e 4, 6, e-23, e0, e
3
Real e numbers
e0 B) e 0
A) 4, 6, e-23, e0, e {4, e-23, e0} C) e 4, e-23, e0, e D) 4, e-23
3 3
e0 e
4) B e= e 2, 6, e-23, e0, e , e0.8
3
Rational e numbers
e0 e e0 e
A) 2, e-23, e0, e , e0.8 B) e{2, e0} C) e { D) 6, e , e0.8
3 3
6}
e0 e
5) B e= e 20, 8, e-8, e0, e , e0.79
3
Irrational e numbers
e0 e
8, D) 8, e , e0.79
A) e { B) { e e 8, C)
0 3 3
8} e0.79}
e5 e e7 e
6) B e= e{14, 8, e-12, e 0, e , e- e , e1.8, e 9π, e 0.989898...}
7 5
Integers
A) {14, e-12, e0} B) e{14, e0} C) e{14, e-12} D) e{14, e0, 8}
e 5 e e6 e
7) B e= e{7, 6, e -14, e 0, e , e - , e 5.1, e 6π, e 0.696969...}
6 5
Natural e numbers
e 6
A) {7} B) e e 7, e0, e- e C) {7, e0} D) e {-14, e0, e 7}
5
0
e e
8) B e= e{4, 5, e-10, e0, e , 25, e0.05, e-5π,
e 0.252525...}
7
Rational e numbers
e0 e 0
e e
A) 4, e-10, e0, e , 25, e0.05, e 0.252525... B) e e 4, e-10, e0, e , e 0.05
7 7
e0 e e0 e
C) e 4, e-10, e0, e , e0.05, e0.252525... D) e 4, e-10, e0, e , 25, e0.05, e-5π, e 0.252525...
7 7
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e e e e e e e e e
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Utilities 8th Edition Sullivan e e e
9) B e= e{17, 7, e-6, e0, e , e, e0.59, e-7π, e0.161616...}
6e
Irrational e numbers
A) { e e 7, e-7π} B) e {
7}
e 0e
C) 7, e ,-7π D) e { e e 7, e-7π, e0.161616...}
6
Approximate e the e number e rounded e to e three e decimal e places, e and e truncated e to e three e decimal e places.
10) 0.1142
A) e 0.114 B) e 0.115 C) e 0.114 D) e 0.113
0.114 0.114 0.115 0.115
11) e 0.28571429
A) e 0.286 B) e 0.287 C) e 0.286 D) e 0.285
0.285 0.285 0.286 0.286
e24
12) 7
A) 3.429 B) 3.43 C) 3.429 D) 3.43
3.428 3.428 3.429 3.429
3 Evaluate e Numerical e Expressions
MULTIPLE e CHOICE. e Choose e the e one e alternative e that e best e completes e the e statement e or e answers e the e question.
Write e the e statement e using e symbols.
1) The e sum e of e26 eand e13 eis e39.
26 e
e
A) 26 e+ e13 e= e39 B) e = e2 C) e 26 e∙ e13 e= e338 D) e 26 e- e13 e= e13
13
2) The e difference e 20 e less e5 e equals e 15.
e20 e
A) 20 e- e5 e = e15 B) e = e4 C) e 20 e+ e5 e = e25 D) e 20 e∙ e5 e = e100
5
3) The e product eof e 10 eand e 2 e equals e 20.
e10 e
A) 10 e∙ e2 e = e20 B) e = e5 C) e 10 e+ e2 e= e12 D) e 10 e- e2 e= e8
2
4) The e quotient e5 e divided e by e1 e is e5.
e5 e
A) = e5 B) e5 e ∙ e1 e= e5 C) e 5 e+ e1 e= e6 D) e 5 e- e1 e = e4
1
5) The e sum e of e four e times ex e and e 5 e decreased e by e 7 e is e8.
A) 4x e+ e5 e- e7 e= e8 B) e4(x e+ e5) e- e7 e= e8 C) e 7 e- e(4x e+ e5) e= e8 D) e 4(x e+ e5 e- e7) e= e8
6) Three etimes ethe edifference eof ex eand e8 eis e-10.
A) 3(x e- e8) e = e-10 B) e 3 e- ex e- e8 e= e-10 C) e 3x e- e8 e= e-10 D) e 3 e+ ex e- e8 e= e-10
7) The e quotient eof e x eand e the e sum e of e 5 e and e x.
e e x x e+ e5
e
A) e B) x e+ e5 e+ ex C) e x(5 e+ ex) D) e
5 e+ ex x
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e e e e e e e e e
Utilities 8th Edition Sullivan e e e
Ch. e0 Chapter eR: eReview
0.1 Real eNumbers
1 Work e with e Sets
MULTIPLE e CHOICE. e Choose e the e one e alternative e that e best e completes e the e statement e or e answers e the e question.
Use e U e= euniversal e set e= e{0, e1, e2, e 3, e 4, e5, e6, e 7, e8, e9}, e A e = e{1, e2, e 3, e5, e8}, e B e = e{2, e 3, e 5, e7}, e and e C e = e{1, e4, e 9} e to e find e the
e set.
1) B e∪ e C
A) {1, e2, e3, e 4, e5, e7, e9} B) e { e} C) e {0} D) e {1, e2, e3, e5, e7, e9}
2) A e∪ e C
A) {1, e2, e3, e 4, e5, e8, e9} B) e {4, e6, e7, e9} C) e {1} D) e {1, e2, e3, e5, e7, e9}
3) A e∩ e B
A) {2, e 3, e5} B) e {1, e2, e3, e5, e7, e8} C) e {2, e3, e5, e7} D) e {1, e2, e3, e5, e8}
4) A e∩ e C
A) {1} B) e {1, e2, e3, e4, e5, e7, e8, e9}
C) e {4, e6, e7, e9} D) e {1, e2, e3, e5, e7, e9}
5) (A e ∩ e B) e ∪ e C
A) {1, e2, e 3, e4, e5, e9} B) e {1, e2, e3, e5} C) e {1, e2, e3} D) e {2, e3, e5}
6) (B e ∪ e C) e ∩ e A
A) {1, e2, e 3, e5} B) e {1, e2, e3, e4, e5, e7, e9} C) e { e} D) e {1, e2, e3}
7) B
A) {0, e1, e 4, e6, e8, e9} B) e {1, e4, e6, e8, e9} C) e {0, e1, e4, e6, e7, e8, e9} D) e {0, e1, e4, e6, e9}
8) A e∪ e B
A) {0, e4, e 6, e9} B) e {4, e6, e9} C) e {1, e4, e6, e8, e9} D) e {1, e2, e3, e5, e7, e8}
9) A e∩ e C
A) {0, e2, e3, e4, e5, e6, e7, e8, e 9} B) e {1}
C) {1, e2, e3, e4, e5, e7, e8, e9} D) e {1, e2, e3, e4, e5, e6, e7, e8, e9}
10) B e∩ e C
A) {0, e 6, e8} B) e {6, e8} C) e {1, e2, e3, e4, e5, e7, e9} D) e { e}
2 Classify e Numbers
MULTIPLE e CHOICE. e Choose e the e one e alternative e that e best e completes e the e statement e or e answers e the e question.
List e all e the e elements e of e B e that e belong e to e the e given e set.
e3 e e8 e
1) B e= e 9, 6, e-22, e0, e , e- e , e1.8
8 3
Integers
A) {9, e-22, e0} B) e{9, e0} C) e {9, e-22} D) e {9, e0, 6}
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e e e e e e e e e
4
U7tilities 8th Edition Sullivan
e e
e e e
2) B e= e 8, 7, e-18, , e- , e8.7
7e
e0, e
4
Natural e numbers
A) {8} B) e e 8, e0, e- e C) {8, e0} D) e {-18, e0, e 8}
e7
4
e0
3) B e= e 4, 6, e-23, e0, e
3
Real e numbers
e0 B) e 0
A) 4, 6, e-23, e0, e {4, e-23, e0} C) e 4, e-23, e0, e D) 4, e-23
3 3
e0 e
4) B e= e 2, 6, e-23, e0, e , e0.8
3
Rational e numbers
e0 e e0 e
A) 2, e-23, e0, e , e0.8 B) e{2, e0} C) e { D) 6, e , e0.8
3 3
6}
e0 e
5) B e= e 20, 8, e-8, e0, e , e0.79
3
Irrational e numbers
e0 e
8, D) 8, e , e0.79
A) e { B) { e e 8, C)
0 3 3
8} e0.79}
e5 e e7 e
6) B e= e{14, 8, e-12, e 0, e , e- e , e1.8, e 9π, e 0.989898...}
7 5
Integers
A) {14, e-12, e0} B) e{14, e0} C) e{14, e-12} D) e{14, e0, 8}
e 5 e e6 e
7) B e= e{7, 6, e -14, e 0, e , e - , e 5.1, e 6π, e 0.696969...}
6 5
Natural e numbers
e 6
A) {7} B) e e 7, e0, e- e C) {7, e0} D) e {-14, e0, e 7}
5
0
e e
8) B e= e{4, 5, e-10, e0, e , 25, e0.05, e-5π,
e 0.252525...}
7
Rational e numbers
e0 e 0
e e
A) 4, e-10, e0, e , 25, e0.05, e 0.252525... B) e e 4, e-10, e0, e , e 0.05
7 7
e0 e e0 e
C) e 4, e-10, e0, e , e0.05, e0.252525... D) e 4, e-10, e0, e , 25, e0.05, e-5π, e 0.252525...
7 7
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e e e e e e e e e
0
Utilities 8th Edition Sullivan e e e
9) B e= e{17, 7, e-6, e0, e , e, e0.59, e-7π, e0.161616...}
6e
Irrational e numbers
A) { e e 7, e-7π} B) e {
7}
e 0e
C) 7, e ,-7π D) e { e e 7, e-7π, e0.161616...}
6
Approximate e the e number e rounded e to e three e decimal e places, e and e truncated e to e three e decimal e places.
10) 0.1142
A) e 0.114 B) e 0.115 C) e 0.114 D) e 0.113
0.114 0.114 0.115 0.115
11) e 0.28571429
A) e 0.286 B) e 0.287 C) e 0.286 D) e 0.285
0.285 0.285 0.286 0.286
e24
12) 7
A) 3.429 B) 3.43 C) 3.429 D) 3.43
3.428 3.428 3.429 3.429
3 Evaluate e Numerical e Expressions
MULTIPLE e CHOICE. e Choose e the e one e alternative e that e best e completes e the e statement e or e answers e the e question.
Write e the e statement e using e symbols.
1) The e sum e of e26 eand e13 eis e39.
26 e
e
A) 26 e+ e13 e= e39 B) e = e2 C) e 26 e∙ e13 e= e338 D) e 26 e- e13 e= e13
13
2) The e difference e 20 e less e5 e equals e 15.
e20 e
A) 20 e- e5 e = e15 B) e = e4 C) e 20 e+ e5 e = e25 D) e 20 e∙ e5 e = e100
5
3) The e product eof e 10 eand e 2 e equals e 20.
e10 e
A) 10 e∙ e2 e = e20 B) e = e5 C) e 10 e+ e2 e= e12 D) e 10 e- e2 e= e8
2
4) The e quotient e5 e divided e by e1 e is e5.
e5 e
A) = e5 B) e5 e ∙ e1 e= e5 C) e 5 e+ e1 e= e6 D) e 5 e- e1 e = e4
1
5) The e sum e of e four e times ex e and e 5 e decreased e by e 7 e is e8.
A) 4x e+ e5 e- e7 e= e8 B) e4(x e+ e5) e- e7 e= e8 C) e 7 e- e(4x e+ e5) e= e8 D) e 4(x e+ e5 e- e7) e= e8
6) Three etimes ethe edifference eof ex eand e8 eis e-10.
A) 3(x e- e8) e = e-10 B) e 3 e- ex e- e8 e= e-10 C) e 3x e- e8 e= e-10 D) e 3 e+ ex e- e8 e= e-10
7) The e quotient eof e x eand e the e sum e of e 5 e and e x.
e e x x e+ e5
e
A) e B) x e+ e5 e+ ex C) e x(5 e+ ex) D) e
5 e+ ex x
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