TEAS Math Questions

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: 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: C

Rationale: To find how many questions the student answered correctly: 1. Calculate 85% of 50: 0.85 * 50 = 42.5 2. Since the student can't answer half a question, round down to the nearest whole number: 42 Therefore, the student answered 42 questions correctly. Option C is correct. Incorrect options: A: 40 questions - Too low, as the student scored above 40. B: 42 questions - Close but not rounded correctly. D: 45 questions - Too high, as the student's score was 85%.

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: 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.