TEAS Practice Test Math

Correct Answer: A

Rationale: The correct answer is A because an equivalent fraction is a fraction that represents the same value as another fraction. To find an equivalent fraction, you can multiply or divide both the numerator and denominator by the same number. This maintains the fraction's value while changing its appearance. Choices B and C are incorrect because the size of a fraction is not determined by its equivalent status. Choice D is incorrect because equivalent fractions can have different numerators.

Correct Answer: C

Rationale: To find out how much ammonia is needed, we first calculate the total amount of ammonia needed for 230 gallons of solution. Since 1 gallon requires 6 oz of ammonia, for 230 gallons, we multiply: 230 (gallons) x 6 (oz) = 1380 oz of ammonia. Therefore, the correct answer is C: 1380 oz. Other choices are incorrect because: A: 1380 gallons - This does not make sense as we are calculating the amount of ammonia, not the total volume of cleaning solution. B: 6900 gallons - This is not a logical calculation based on the given information. D: 1400 oz - This is close to the correct answer but miscalculates the total amount of ammonia required.

Correct Answer: A

Rationale: To determine the amount of yogurt, we first find the total parts in the ratio (4+3=7 parts). Since toppings are 3 parts, we divide 4.5 oz by 3 to find 1 part equals 1.5 oz. Then, multiply 1.5 oz by 4 (yogurt parts) to get 6 oz of yogurt. Choice A is correct because it correctly calculates the amount of yogurt based on the given ratio. Choices B, C, and D are incorrect as they do not follow the correct calculation based on the ratio provided.

Correct Answer: D

Rationale: To determine the correct order of the groups, we need to compare the fractions given for each group. Group X has 1/4 of the doctors, Group Y has 1/3, and Group Z has 1/6. Comparing the fractions, we see that 1/3 is larger than 1/4 but smaller than 1/6. Therefore, Group Y has the most doctors, followed by Group X, and then Group Z. Hence, the correct order is D: Group Y, Group X, Group Z. This is because Group Y has the largest fraction of doctors, followed by Group X, and then Group Z. Choices A, B, and C can be eliminated because they do not follow the correct order based on the fractions provided.

Correct Answer: D

Rationale: The correct answer is D: 17.8 cm. To convert inches to centimeters, we use the conversion factor 1 inch = 2.54 cm. So, to find the metric equivalent of 7 inches, we multiply 7 by 2.54, which equals 17.78 cm. Rounding to one decimal place gives us 17.8 cm. Explanation for incorrect choices: A: 3.2 cm - This is incorrect as it is too small for the conversion of 7 inches. B: 2.8 cm - This is also too small for the conversion of 7 inches. C: 15.4 cm - This is incorrect as it is close to the correct answer, but not the exact conversion based on the given conversion factor.