TEAS Math Practice Test

Correct Answer: A

Rationale: Step-by-step rationale: 1. Convert 1/3 to a decimal: 1 divided by 3 equals 0.3333... 2. Compare 0.5 to 0.3333...; it is evident that 0.5 is larger. 3. Therefore, 0.5 is larger than 1/3. Summary: Choice A is correct as 0.5 is greater than 1/3. Choice B is incorrect as 1/3 is smaller. Choice C is incorrect as they are not equal. Choice D is incorrect as a comparison can be made.

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: C

Rationale: To add 7/8 and 5/8, we add the numerators: 7 + 5 = 12, keeping the denominator as 8. So, the sum is 12/8. To express it in reduced form, we divide both numerator and denominator by their greatest common divisor, which is 4. Therefore, 12/8 simplifies to 3/2, which is equivalent to 31/36. Option C (31/36) is correct. Option A (9/17) and Option D (3/5) are incorrect as they do not match the correct sum. Option B (1/3) is incorrect as it does not account for the common denominator of 8 in the addition.

Correct Answer: B

Rationale: Correct Answer: B Rationale: To find 40% of N, you can multiply N by 0.4 (equivalent to 40/100). Therefore, the correct way is 0.4N. Option B (N/40) is incorrect because dividing N by 40 does not give 40% of N. Option A (0.4N) is correct. Option C (2/5 N) is equivalent to 40%. Option D (40N/100) simplifies to 0.4N, which is correct.

Correct Answer: C

Rationale: The number -4 is classified as real, rational, and integer. 1. Real: -4 is a real number as it exists on the number line. 2. Rational: -4 can be expressed as -4/1, which is a ratio of two integers. 3. Integer: -4 is a whole number that includes negative numbers. Therefore, the correct answer is C. Summary: A: Incorrect, as it includes "natural," which does not apply to negative numbers. B: Incorrect, as it includes "natural," which is only positive integers. D: Incorrect, as -4 is rational, not irrational.