ATI TEAS Math Practice Test - Nurselytic

Correct Answer: C

Rationale:
To convert kilometers to miles, you can use the conversion factor of approximately 0.62 miles per kilometer.
Therefore, 45 kilometers 0.62 miles/kilometer = 27.9 miles, which is approximately 28 miles away.
Choice A (42 miles),
Choice B (37 miles), and
Choice D (16 miles) are incorrect as they do not reflect the accurate conversion from kilometers to miles.

Correct Answer: C

Rationale: In this question, the correct answer is
C) 89, which is the approximate average of Pernell's five exam scores.
To calculate the average, you add up all the scores and then divide by the total number of scores. In this case, when you add 81 + 92 + 87 + 89 + 94, you get 443. Dividing 443 by 5 (the number of scores) gives you an average of 89.

Option
A) 81 is incorrect because it is one of the individual scores, not the average. Option
B) 84 is also incorrect as it does not reflect the correct average of the scores provided. Option
D) 91 is incorrect as well, as it is higher than the calculated average of 89.

Understanding how to calculate averages is a fundamental math skill applicable in various real-life situations, such as managing budgets, analyzing data, and interpreting trends. It is essential for students to grasp this concept to make informed decisions based on numerical information. Practicing with scenarios like this helps reinforce the concept of averages and enhances mathematical proficiency.

Correct Answer: A

Rationale:
To simplify the given expression, start by performing the division first: (2/3) · (4/15) = (2/3) (15/4) = 30/12 = 5/2. Next, multiply this result by 5/8: 5/2 5/8 = 25/16 = 1 9/16.
Therefore, the correct answer is A.
Choice B (1 1/4) is incorrect as it does not match the simplified result.
Choice C (2 1/8) is incorrect as it does not represent the simplified expression.
Choice D (2) is incorrect as it does not account for the fractions in the original expression.

Correct Answer: C

Rationale:
To solve the equation 4(2x - 6) = 10x - 6, first distribute 4 into the parentheses: 8x - 24 = 10x - 6. Next, simplify the equation by rearranging terms: 8x - 10x = -6 + 24, which gives -2x = 18. Solving for x by dividing by -2 on both sides gives x = -9.
Therefore, the correct answer is x = -9.
Choice A (x = 5),
Choice B (x = -7), and
Choice D (x = 10) are incorrect solutions obtained by errors in solving the equation.

Correct Answer: B

Rationale: In this question, we are asked to find the percentage of churchgoers in Ellsford who attend Catholic Churches.
To solve this, we need to divide the number of churchgoers attending Catholic Churches (400) by the total number of churchgoers in Ellsford (1,450) and then multiply by 100 to get the percentage.

The correct answer is
B) 28%. This is because 400 divided by 1,450 equals 0.2758. When multiplied by 100, this gives us 27.58%, which rounds up to 28%.
Therefore, approximately 28% of churchgoers in Ellsford attend Catholic Churches.

Option
A) 23% is incorrect because it represents a lower percentage than the actual calculation result.

Option
C) 36% and Option
D) 42% are incorrect as they both overestimate the percentage of churchgoers attending Catholic Churches based on the given information.

In an educational context, this question assesses the test-taker's ability to calculate percentages and apply them to real-world scenarios. Understanding how to interpret and calculate percentages is crucial in various fields, including mathematics, finance, and data analysis. It also tests the test-taker's ability to apply basic arithmetic operations in a practical context, which is a fundamental skill in many academic and professional settings.