Math Practice TEAS Test

Correct Answer: B

Rationale: The correct answer is B: 1,000 mm. This is because there are 1,000 millimeters in a meter. The metric system is based on units of 10, so to convert meters to millimeters, you multiply by 1,000 (10 x 10 x 10). Therefore, 1 meter equals 1,000 millimeters. Choice A (100 mm) is incorrect as it represents centimeters, not millimeters. Choice C (10,000 mm) and Choice D (100,000 mm) are incorrect because they are multiples of 1,000 and would be equivalent to 10 meters and 100 meters respectively, not millimeters.

Correct Answer: C

Rationale: The correct answer is C, the least common multiple of both denominators. To find the least common denominator of two fractions, you need to determine the smallest number that both denominators can evenly divide into. This is achieved by finding the least common multiple (LCM) of the denominators. The LCM is the smallest number that is a multiple of both denominators, ensuring that when you convert the fractions to have the same denominator, they will be in their simplest form. In contrast, option A is not correct as it refers to finding the least common multiple, not denominator. Option B is incorrect as it does not consider the need for the fractions to have the same denominator. Option D is also incorrect as it refers to the greatest common factor, which is not relevant when finding the least common denominator.

Correct Answer: D

Rationale: The correct answer is D: 4 quarts. There are 4 quarts in a gallon. This is because a gallon is a unit of volume equal to 128 fluid ounces, and each quart is equal to 32 fluid ounces. Therefore, to find out how many quarts are in a gallon, you divide the total number of fluid ounces in a gallon by the number of fluid ounces in a quart (128 ÷ 32 = 4). Choice A (1 quart) is incorrect because a quart is smaller than a gallon. Choice B (2 quarts) is incorrect as it is half of the correct amount. Choice C (3 quarts) is also incorrect as it is three-quarters of the correct amount. The correct answer is D (4 quarts) because it accurately represents the conversion of fluid ounces from gallons to quarts.

Correct Answer: A

Rationale: To calculate the total amount Erma will spend, first, find the price after the 25% discount on the cheaper sweater: $44 - (25% of $44) = $44 - $11 = $33. Then, add the price of the other sweater: $33 + $50 = $83. The correct answer is A because $83 is the total amount Erma will spend after the discount on the cheaper sweater. Choice B, C, and D are incorrect as they do not reflect the correct calculation.

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.