TEAS Test Math Questions

Correct Answer: A

Rationale: To find the product of 2/3 and 3/4, multiply the numerators (2 * 3 = 6) to get the new numerator and multiply the denominators (3 * 4 = 12) to get the new denominator. Therefore, the product is 6/12 which simplifies to 1/2. Choice A (1) is correct because 1 is the simplified form of the product. Choices B, C, and D are incorrect as they do not reflect the correct multiplication of fractions.

Correct Answer: A

Rationale: To multiply fractions, you simply multiply the numerators and denominators separately. So, (3/5) * (5/8) = (3*5)/(5*8) = 15/40. However, it can be simplified to 3/8 by dividing both numerator and denominator by 5. Thus, the correct answer is A: 3/8. Choice B (3/5) is the first fraction, not the result. Choice C (15/40) is the intermediate result before simplification. Choice D (3/30) is incorrect as the numerator should be 15, not 3.

Correct Answer: A

Rationale: To find the product of 2/3 and 3/4, multiply the numerators (2 * 3 = 6) to get the new numerator and multiply the denominators (3 * 4 = 12) to get the new denominator. Therefore, the product is 6/12 which simplifies to 1/2. Choice A (1) is correct because 1 is the simplified form of the product. Choices B, C, and D are incorrect as they do not reflect the correct multiplication of fractions.

Correct Answer: C

Rationale: To make a 5:1 solution of water to HCl, we need 5 parts water and 1 part HCl. So, in 2.5 liters, 5/6 parts are water and 1/6 part is HCl. Therefore, 2.5 liters * 1/6 = 0.4167 liters of HCl. As 1 liter of HCl weighs approximately 5 grams, 0.4167 liters would be around 5 * 0.4167 = 2.08 grams. The closest option to this calculated weight is 5 grams (Choice C), making it the correct answer. Choices A, B, and D are incorrect as they do not correspond to the calculated amount of HCl needed for the solution.

Correct Answer: A

Rationale: To solve |x| = 10, we consider both possibilities: x = 10 and x = -10 since the absolute value of x is always positive. So, the correct answer is A: -10, 10. Choice B, C, and D are incorrect because they do not reflect the correct solutions to the absolute value equation given.