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DSAT Math | October 2024 | Question Bank — Preview0 / 5 answered
1
Intermediate · B4Algebra | Inequalities
A certain blue whale calf weighed 5,600 pounds when it was born, and its weight increased at an average rate of 250 pounds per day for the first n days after birth, where n is an integer. If the calf's weight was greater than 8,850 pounds but less than 9,850 pounds n days after birth, what is one possible value of n?
A certain blue whale calf weighed 5,600 pounds when it was born, and its weight increased at an average rate of 250 pounds per day for the first n days after birth, where n is an integer. If the calf's weight was greater than 8,850 pounds but less than 9,850 pounds n days after birth, what is one possible value of n?
A
17
B
14
C
12
D
11
2
Easy · B1Algebra | Inequalities
A shopper goes to a pet store to buy dog food and treats. The shopper has $20. Each can of
food costs $1.87, and each bag of treats costs $2.37. Which inequality represents the
relationship between the number of cans of food, c, and the number of bags of treats, t, the
shopper can buy?
A shopper goes to a pet store to buy dog food and treats. The shopper has $20. Each can of food costs $1.87, and each bag of treats costs $2.37. Which inequality represents the relationship between the number of cans of food, c, and the number of bags of treats, t, the shopper can buy?
A
1.87c + 2.37t ≤ 20
B
1.87c + 2.37t ≥ 20
C
2.37c + 1.87t ≤ 20
D
2.37c + 1.87t ≥ 20
3
Easy · B1Algebra | Inequalities
A plant nursery classifies a perennial flower species as tall if its typical height when fully grown is more than 100 centimeters. Each of the following inequalities represents the possible heights h, in centimeters, for a specific perennial flower species when fully grown. Which inequality represents the possible heights h, in centimeters, for a tall perennial flower species?
A plant nursery classifies a perennial flower species as tall if its typical height when fully grown is more than 100 centimeters. Each of the following inequalities represents the possible heights h, in centimeters, for a specific perennial flower species when fully grown. Which inequality represents the possible heights h, in centimeters, for a tall perennial flower species?
A
107 < h < 158
B
76 < h < 100
C
41 < h < 95
D
16 < h < 91
4
Intermediate · B4Algebra | Inequalities
A geologist estimates that the volume of a boulder is greater than 12.7 cubic feet but less than 15.7 cubic feet. The geologist also estimates that the boulder weighs 160 pounds per cubic foot of volume. Which inequality represents this situation, where x represents the estimated total weight, in pounds, of the boulder?
A geologist estimates that the volume of a boulder is greater than 12.7 cubic feet but less than 15.7 cubic feet. The geologist also estimates that the boulder weighs 160 pounds per cubic foot of volume. Which inequality represents this situation, where x represents the estimated total weight, in pounds, of the boulder?
A
160 - 15.7 < x < 160 - 12.7
B
160 + 12.7 < x < 160 + 15.7
C
160(12.7) < x < 160(15.7)
D
16015.7 < x < 16012.7
5
Easy · B3Algebra | Inequalities
A car travels at a speed of at least 40 miles per hour but no more than 65 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?
A car travels at a speed of at least 40 miles per hour but no more than 65 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?
A
x ≥ 40
B
x ≥ 65
C
40 ≤ x ≤ 65
D
x ≤ 105
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