ATI TEAS 7
TEAS Test Math Prep
1. John’s Gym charges its members according to the equation y = 40x, where x is the number of months and y represents the total cost to each customer after x months. Ralph’s Recreation Room charges its members according to the equation y = 45x. What relationship can be determined about the monthly cost to the members of each company?
- A. John’s monthly membership fee is equal to Ralph’s monthly membership fee.
- B. John’s monthly membership fee is more than Ralph’s monthly membership fee.
- C. John’s monthly membership fee is less than Ralph’s monthly membership fee.
- D. No relationship can be determined between the monthly membership fees.
Correct answer: C
Rationale: The equation y = 40x represents John's Gym charging $40 per month, while the equation y = 45x represents Ralph's Recreation Room charging $45 per month. Since $40 is less than $45, it can be concluded that John's Gym offers a lower monthly membership fee compared to Ralph's Recreation Room. Therefore, the correct answer is that John’s monthly membership fee is less than Ralph’s monthly membership fee. Choices A and B are incorrect because John's fee is not equal to or greater than Ralph's fee. Choice D is incorrect as there is a clear relationship indicating that John’s monthly membership fee is less than Ralph’s monthly membership fee.
2. Adrian measures the circumference of a circular picture frame with a radius of 3 inches. Which of the following is the best estimate for the circumference of the frame?
- A. 12 inches
- B. 16 inches
- C. 18 inches
- D. 24 inches
Correct answer: C
Rationale: To calculate the circumference of a circle, use the formula 2πr, where r is the radius. In this case, with a radius of 3 inches, the estimated circumference would be 2 x π x 3 = 6π ≈ 18.85 inches. Therefore, the best estimate for the circumference of the frame is 18 inches (Choice C). Choice A (12 inches) is too small as it corresponds to the diameter rather than the circumference. Choice B (16 inches) and Choice D (24 inches) are also incorrect as they do not reflect the accurate calculation based on the given radius.
3. Which of the following numbers has the greatest value?
- A. 1.4378
- B. 1.07548
- C. 1.43592
- D. 0.89409
Correct answer: B
Rationale: To determine the number with the greatest value among the options, focus on the digit in the tenths place. In this case, 1.07548 has the highest value as it has the digit 7 in the tenths place. Comparing this to the other numbers, 1.4378, 1.43592, and 0.89409 have 4, 3, and 8 in the tenths place, respectively. Therefore, 1.07548 is the number with the greatest value as it has the highest digit in the tenths place.
4. What score must Dwayne get on his next math test to maintain an overall average of at least 90?
- A. 89
- B. 98
- C. 95
- D. 100
Correct answer: B
Rationale: To maintain an overall average of at least 90, Dwayne must aim for a score of 90 on every test. If his current average is below 90, he needs to make up for it by scoring higher on upcoming tests. Choosing 98 ensures that his overall average remains at or above 90. Choice A (89) is below the desired average of 90, so it would not be sufficient. Choices C (95) and D (100) are higher than necessary to maintain an average of at least 90.
5. The value of 6 x 12 is the same as:
- A. 2 x 4 x 4 x 2
- B. 7 x 4 x 3
- C. 6 x 6 x 3
- D. 3 x 3 x 4 x 2
Correct answer: A
Rationale: To find the value of 6 x 12, we multiply 6 by 12, which equals 72. A: 2 x 4 x 4 x 2 = 32 B: 7 x 4 x 3 = 84 C: 6 x 6 x 3 = 108 D: 3 x 3 x 4 x 2 = 72 Therefore, the correct answer is A, as the product of 2 x 4 x 4 x 2 equals 32, which is the same as 6 x 12.
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