TEAS Test Math Prep

Correct Answer: A

Rationale: To simplify the expression 5/9 * 15/36, we first multiply the numerators (5 * 15 = 75) and the denominators (9 * 36 = 324) separately. This gives us 75/324. To simplify further, we find the greatest common divisor of 75 and 324, which is 3. Dividing both the numerator and denominator by 3, we get 25/108. Finally, this can be reduced to 5/36 by dividing both the numerator and denominator by 5. Therefore, the correct answer is A: 5/36. Choices B, C, and D are incorrect because they do not result from the correct simplification steps outlined above.

Correct Answer: C

Rationale: To solve this, let's substitute x = 2 into the given equation. Starting with the equation: Now, we substitute x = 2: Therefore, . Thus, the correct answer is C: 3. Explanation for other choices: A: If x = 2, then is not equal to 1. B: If x = 2, then is not equal to 2. D: If x = 2, then is not equal to 4.

Correct Answer: D

Rationale: The correct answer is D: Pie chart. A pie chart is the most appropriate choice for displaying percentage data because it visually represents parts of a whole, making it easy to compare the time spent on different tasks during the workday. Each segment of the pie chart corresponds to a specific task percentage, allowing Juan to quickly see the breakdown of his time. Explanation of Incorrect Choices: A: Line plot - Line plots are used to show trends over time or continuous data points, not ideal for comparing percentages of different tasks. B: Bar graph - Bar graphs are suited for comparing categories or discrete data points, not the best choice for displaying percentages. C: Line graph - Line graphs are typically used to show trends and relationships between variables, not suitable for displaying percentages of different tasks.

Correct Answer: B

Rationale: To calculate the sum of numbers from 1 to 6, we use the formula for the sum of an arithmetic series: n/2 * (first term + last term). In this case, n=6, first term=1, last term=6. So, 6/2 * (1 + 6) = 3 * 7 = 21. Therefore, the correct answer is B: 21. Explanation for other choices: A (30): Incorrect, as it is not the sum of numbers from 1 to 6. C (15): Incorrect, this is the sum of numbers from 1 to 5, not 1 to 6. D (13): Incorrect, this is the sum of numbers from 1 to 4, not 1 to 6.

Correct Answer: A

Rationale: To convert feet to kilometers, we need to know that 1 kilometer is approximately 3280.84 feet. So, to find out how many kilometers 4382 feet is, we divide 4382 by 3280.84, which equals approximately 1.336 kilometers. Therefore, the correct answer is A: 1.336 kilometers. Choice B: 14.376 kilometers is incorrect as it is too high. Choice C: 1.437 kilometers is incorrect as it is a close but slightly higher value. Choice D: 13.336 kilometers is incorrect as it is much higher than the actual value.