Inequalities Word Problems Page 5
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6ID: A
6. ANS:
n > 21
PTS: 1
DIF: L2
REF: 4-1 Inequalities and Their Graphs
OBJ: 4-1.2 Graphing and Writing Inequalities in One Variable
NAT: NAEP 2005 A3a | ADP J.3.1
STA: CT C1.3a(1) | CT C1.3a(2) | CT E1.3a(1)
KEY: modeling with inequalities | translating an inequality
7. ANS:
d − 22 ≥ 28; d ≥ 50
PTS: 1
DIF: L3
REF: 4-2 Solving Inequalities Using Addition and Subtraction
OBJ: 4-2.1 Using Addition to Solve Inequalities
NAT: NAEP 2005 N5e | NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1
STA: CT C1.3a(1) | CT C1.3a(2) | CT E1.3a(1)
TOP: 4-2 Example 4
KEY: Addition Property of Inequality | problem solving | word problem | solving inequalities
8. ANS:
3
1
t ≥ 10; t ≥ 13
; 13
4
3
PTS: 1
DIF: L4
REF: 4-3 Solving Inequalities Using Multiplication and Division
OBJ: 4-3.1 Using Multiplication to Solve Inequalities
NAT: NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1
STA: CT C1.3a(1) | CT C1.3a(2) | CT E1.3a(1)
TOP: 4-3 Example 4
KEY: Multiplication Property of Inequality for c > 0 | problem solving | word problem | solving
inequalities | multi-part question
9. ANS:
3.50p ≥ 140; p ≥ 40
PTS: 1
DIF: L3
REF: 4-3 Solving Inequalities Using Multiplication and Division
OBJ: 4-3.2 Using Division to Solve Inequalities
NAT: NAEP 2005 A4a | NAEP 2005 A4c | ADP J.3.1
STA: CT C1.3a(1) | CT C1.3a(2) | CT E1.3a(1)
TOP: 4-3 Example 4
KEY: Division Property of Inequality | problem solving | word problem | solving inequalities
10. ANS:
2(33) + 2™ ≥ 776; ™ ≥ 355; A ≥ 33(355)
PTS: 1
DIF: L3
REF: 4-4 Solving Multi-Step Inequalities
OBJ: 4-4.1 Solving Inequalities With Variables on One Side
NAT: NAEP 2005 A3b | NAEP 2005 A3c | NAEP 2005 A4a | ADP J.3.1
STA: CT C1.3a(1) | CT C1.3a(2) | CT E1.3a(1)
TOP: 4-4 Example 2
KEY: solving inequalities | problem solving | word problem | solving inequalities | multi-part question
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