TEAS Math Practice Test

Correct Answer: A

Rationale: To convert 3 5/7 to an improper fraction, multiply the whole number (3) by the denominator (7) and add the numerator (5) to get 26. The denominator remains the same, resulting in 26/7. This is the correct answer because it represents the mixed number 3 5/7 in fraction form. Choice B (21/7) simplifies to 3, which is the whole number part of the mixed number. Choice C (22/7) is equivalent to the approximation of π and not the correct conversion of 3 5/7. Choice D (26/5) is incorrect as it does not represent the mixed number 3 5/7 accurately.

Correct Answer: A

Rationale: The correct answer is A: 75 dollars per gigabyte. The slope of the equation represents the rate of change in cost per unit change in data usage. In this case, for every additional gigabyte of data used (D), the cost of the phone bill (C) increases by $75. This interpretation aligns with the equation C = 50 + 75D, where 75 is the coefficient of D, indicating the cost per gigabyte. Summary of other choices: B: 75 gigabytes per day - This is incorrect as it does not reflect the cost per gigabyte relationship in the equation. C: 50 dollars per day - This is incorrect as it does not account for the cost associated with data usage. D: 50 dollars per gigabyte - This is incorrect because the correct cost per gigabyte is $75, not $50.

Correct Answer: D

Rationale: To find the perimeter of a rectangle, we add the lengths of all four sides. For this rectangle with a length of 7 cm and width of 3 cm, the perimeter formula is P = 2(length + width). Substituting in the values, we get P = 2(7 + 3) = 2(10) = 20 cm. Therefore, the correct answer is D (20 cm). Option A (21 cm) is incorrect as it exceeds the sum of the length and width. Option B (10 cm) is incorrect as it only accounts for one side. Option C (14 cm) is incorrect as it doesn't consider all four sides.

Correct Answer: A

Rationale: To round 245.2678 to the nearest thousandth, we look at the digit in the thousandths place, which is 7. Since 7 is greater than or equal to 5, we round up. The ten-thousandths place, denoted by the digit 8 in this case, is used to decide whether to round up or down when rounding to the nearest thousandth. The correct answer is A (Ten-thousandths). Summary: A: Ten-thousandths - Correct, used to decide rounding up or down in rounding to the nearest thousandth. B: Thousandths - Incorrect, this is the place being rounded to. C: Hundredths - Incorrect, not relevant for rounding to the nearest thousandth. D: Thousand - Incorrect, not relevant for rounding to the nearest thousandth.

Correct Answer: A

Rationale: To express 0.0523 as a fraction, we need to consider the decimal places. Since 0.0523 has 4 decimal places, we place the digits after the decimal point over the place value of the last digit, which is 10000. Therefore, the fraction is 523/10000, making choice A the correct answer. Choices B, C, and D are incorrect as they do not reflect the correct placement of decimal digits relative to the decimal point and the corresponding place value.