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 percentage of the total staff that is certified and available to work in the neonatal unit during the holiday, we need to multiply the percentages of staff available and certified. First, calculate the percentage of staff available: 100% - 35% (staff on vacation) = 65% available. Then, calculate the percentage of staff certified among those available: 65% (staff available) * 20% (certified) = 13%. Therefore, the correct answer is B: 0.13, representing 13% of the total staff that is certified and available to work in the neonatal unit during the holiday. The other choices are incorrect because they do not accurately represent the calculated percentage.

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: 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.