ATI TEAS Math Practice Test - Nurselytic

Correct Answer: D

Rationale:
To arrange the numbers from least to greatest, first convert them to decimals:

1. 7/3 is approximately 2.33
2. 9/2 equals 4.5
3. 10/9 is approximately 1.11
4. 7/8 equals 0.875

Now, arrange the decimals from least to greatest: 0.875 (7/8), 1.11 (10/9), 2.33 (7/3), 4.5 (9/2).
Therefore, the correct order is 7/8, 10/9, 7/3, 9/2.
Choice A is incorrect because it doesn't follow the correct order.
Choice B is incorrect as it places 9/2 before 7/3, which is not the right arrangement.
Choice C is incorrect as it places 7/3 before 9/2 and 10/9, which is incorrect. Thus, the correct answer is choice D.

Correct Answer: C

Rationale:
To calculate the final dosage, first find 1/5 of 310 mg, which is 62 mg, and subtract it from the original dosage. This gives 310 mg - 62 mg = 248 mg.
Then, subtract an additional 20 mg from the result to get the final dosage: 248 mg - 20 mg = 228 mg.
Therefore, the patient's final dosage is 228 mg.
Choice A (20 mg) is incorrect because it only considers the second reduction of 20 mg and misses the initial reduction by 1/5.
Choice B (42 mg) is incorrect as it miscalculates the reduction amounts.
Choice D (248 mg) is incorrect as it does not account for the second reduction of 20 mg.

Correct Answer: C

Rationale: First, convert the mixed number 1 (1/8) into an improper fraction: 1 (1/8) = 9/8. Now, simplify the expression: (1/4) (3/5) · (9/8).
To divide by a fraction, multiply by its reciprocal: (1/4) (3/5) (8/9) = 24/180 = 2/15. Thus, the simplified expression is 2/15.
Choice A (8/15) is incorrect because the correct answer is 2/15.
Choice B (27/160) is incorrect as it is not the result of the given expression.
Choice D (27/40) is incorrect as it does not match the simplified expression obtained.

Correct Answer: C

Rationale:
To determine the number of correct answers Mathew needs, solve the inequality: 3x > 96. This simplifies to x > 32.
Therefore, Mathew must answer more than 32 questions correctly to qualify for varsity sports. Since the test consists of 40 questions, he can afford to answer at most 40 - 32 = 8 questions incorrectly.
Therefore, the correct answer is 0 ≤ x < 8. Option A (x > 32) is incorrect as it suggests Mathew needs to answer more than 32 questions correctly, which is not the case. Option B (x > 8) is also incorrect as it does not account for the total number of questions in the test. Option D (0 ≤ x ≤ 8) is incorrect as it includes the possibility of answering all questions incorrectly, which is not allowed for Mathew to qualify for varsity sports.

Correct Answer: A

Rationale:
To solve the equation, follow the order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

1. Calculate inside the parentheses first: (2)(2) = 4.
2.
Then, perform multiplication and division: 2 + 4 - 1 = 6 - 1 = 5.


Therefore, the correct answer is 5.


Choice B (3) is incorrect because multiplication is done before subtraction.

Choices C (2) and D (1) are incorrect as they do not follow the correct order of operations to solve the equation.