TEAS Math Questions

Correct Answer: A

Rationale: Step 1: Given that y is three times x, the equation should reflect this relationship. Step 2: The equation y = 3x correctly models this relationship, where y is equal to three times x. Step 3: Option A (y = 3x) is the correct choice as it directly represents y as three times x. Summary: Choices B, C, and D do not correctly model the relationship between x and y as specified. Choice B (x = 3y) is the inverse relationship, Choice C (y = x + 3) adds 3 to x instead of representing y as three times x, and Choice D (y = x / 3) represents y as x divided by 3, not three times x.

Correct Answer: B

Rationale: To calculate the probability of consecutively pulling 2 orange blocks without replacement, we first find the probability of pulling 1 orange block, then the probability of pulling another orange block. 1. Probability of first orange block = 3/12 = 1/4 2. After removing 1 orange block, there are 2 orange blocks left out of 11 total blocks. 3. Probability of second orange block = 2/11 4. Multiply the probabilities: (1/4) * (2/11) = 2/44 = 1/22 5. Simplify the fraction: 1/22 = 2/44 = 3/66 = 3/55 Therefore, the correct answer is B (3/55) as it represents the probability of consecutively pulling two more orange blocks without replacement. Other choices are incorrect as they do not follow the correct calculation steps.

Correct Answer: A

Rationale: To find the total height of the stacked boxes, we simply add the heights of the two boxes together. So, 4 inches (height of the first box) + 6 inches (height of the second box) = 10 inches. Therefore, the correct answer is A: 10 inches. Explanation of other choices: B: 12 inches - Incorrect because adding the heights of 4 inches and 6 inches does not equal 12 inches. C: 8 inches - Incorrect as the total height of the stacked boxes is not 8 inches. D: 9 inches - Incorrect because adding 4 inches and 6 inches does not result in 9 inches.

Correct Answer: C

Rationale: To find the new perimeter after scaling the rectangle by a factor of 2, we multiply the original dimensions by 2. The original perimeter is 2(5+10) = 30 inches. After scaling, the new width is 5*2 = 10 inches and the new length is 10*2 = 20 inches. The new perimeter is 2(10+20) = 60 inches. Therefore, the correct answer is C. Choice A (30 inches) is incorrect because that is the original perimeter, not the new perimeter after scaling. Choice B (40 inches) is incorrect because it does not consider the correct scaling factor. Choice D (50 inches) is incorrect as it miscalculates the new perimeter after scaling.

Correct Answer: A

Rationale: To calculate how many liters are left after using 25%, we first find 25% of 10 liters: 10 * 0.25 = 2.5 liters used. Subtracting this from the initial amount gives us the remaining water: 10 - 2.5 = 7.5 liters left. Therefore, choice A (7.5 liters) is correct. Choice B (8 liters) is incorrect because it doesn't account for the water that was used. Choice C (6.5 liters) and choice D (8.5 liters) are also incorrect as they do not reflect the correct calculation based on the given information.