Math Practice TEAS Test

Correct Answer: A

Rationale: The correct answer is A: x + 4 = 5/6y - 2. To break it down step-by-step: 1. "Four more than a number" translates to x + 4. 2. "2 less than 5/6 of another number" translates to 5/6y - 2. 3. Combining the two expressions gives x + 4 = 5/6y - 2, which represents the given relationship accurately. In summary, choice A is correct because it correctly captures the relationship described in the question. Choices B, C, and D are incorrect because they do not accurately represent the relationship between the two numbers given in the question.

Correct Answer: B

Rationale: To calculate a 30% decrease, you multiply the current dosage (340 mg) by 0.30 to find the decrease amount: 340 mg x 0.30 = 102 mg. Subtract the decrease from the current dosage to get the new dosage: 340 mg - 102 mg = 238 mg (Option B). Option A (70 mg) is incorrect as it represents a 79% decrease. Option C (270 mg) is incorrect as it does not account for the 30% decrease. Option D (340 mg) is incorrect as it does not reflect the required decrease.

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: 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: The correct answer is A: y = 3x. To find the relationship between x and y, we can observe that y is always 3 times the value of x in each row. For example, when x = 2, y = 6 (6 = 3 * 2). This pattern holds true for all data points provided. Therefore, the correct equation is y = 3x. Choice B (x = 3y) is incorrect because it suggests that x is 3 times the value of y, which is not the case based on the given data. Choice C (y = x/3) is incorrect as it implies that y is one-third of x, which does not match the relationship shown in the table. Choice D (y = x + 3) is incorrect as it simply adds 3 to x to get y, which is not consistent with the provided data points.