Math Practice TEAS Test

Correct Answer: B

Rationale: To calculate the number of tanks needed, divide total miles by miles per gallon: 1,800 miles / 30 mpg = 60 gallons. Then, divide total gallons by tank capacity: 60 gallons / 12 gallons = 5 tanks. Therefore, Robert will need 5 tanks of gas for the trip. Summary: - Choice A (4 tanks) is incorrect because the correct calculation shows 5 tanks are needed. - Choice C (6 tanks) is incorrect as it overestimates the number of tanks required. - Choice D (7 tanks) is incorrect as it also overestimates the number of tanks needed based on the given information.

Correct Answer: A

Rationale: The correct answer is A. To distinguish between the three types of graphs in scatterplots, look at the patterns. Linear graphs show a straight line, quadratic graphs show a U-shape, and exponential graphs rise or fall quickly in one direction. This is because linear relationships have a constant rate of change, quadratic relationships have a squared relationship, and exponential relationships have a constant ratio of change. Choice B is incorrect as it does not accurately describe the characteristics of each graph type. Choice C is incorrect as it mentions zigzag lines for linear graphs, which is not a typical characteristic. Choice D is incorrect as it describes a W-shape for quadratic graphs, which is not accurate. Overall, choice A provides a clear and accurate description of how to distinguish between linear, quadratic, and exponential graphs in scatterplots.

Correct Answer: C

Rationale: The correct answer is C: 8 pints. There are 8 pints in a gallon because 1 gallon is equivalent to 8 pints. This conversion is based on the fact that a gallon is defined as 128 fluid ounces and a pint is 16 fluid ounces, so 128/16 = 8 pints in a gallon. Choice A (2 pints) is incorrect because it does not correspond to the correct conversion. Choice B (4 pints) is incorrect as it is half of the correct answer. Choice D (16 pints) is incorrect as it represents the total number of fluid ounces in a gallon, not the number of pints.

Correct Answer: B

Rationale: To calculate the probability of consecutively pulling two more orange blocks, we first find the probability of pulling one orange block (3/12) and then the probability of pulling another orange block out of the remaining orange blocks (2/11). Multiplying these probabilities gives (3/12) * (2/11) = 6/132 = 3/55. Therefore, the correct answer is B. Choice A (3/12) is the probability of pulling one orange block, but it doesn't account for the second draw. Choice C (2/10) is incorrect as it doesn't consider the changing probabilities after the first draw. Choice D (1/3) is the probability of pulling one orange block only.

Correct Answer: A

Rationale: To convert kilograms to pounds, we use the conversion factor 1 kg = 2.20462 lbs. So, to find Stella's weight in pounds, we multiply her weight in kilograms (56) by the conversion factor: 56 kg * 2.20462 lbs/kg ≈ 123.46 lbs. Therefore, Stella's approximate weight in pounds is 123 pounds. Choice B (110 pounds) is incorrect as it underestimates the conversion. Choice C (156 pounds) and D (137 pounds) overestimate the conversion.