ATI TEAS 7
TEAS Test Practice Math
1. If a business's operating expenses are $130,000 per month, how much money does the company spend on employee wages and benefits?
- A. $43,333.33
- B. $86,666.67
- C. $52,000.00
- D. $78,000.00
Correct answer: B
Rationale: To calculate the amount spent on employee wages and benefits, we need to find two-thirds (2/3) of the total operating expenses of $130,000. This equals $86,666.67, which is the correct answer. Choice A ($43,333.33) is incorrect as it represents one-third of the total expenses. Choice C ($52,000.00) and Choice D ($78,000.00) are also incorrect as they do not correspond to two-thirds of the total operating expenses.
2. What must you always use in all math?
- A. PEMDAS
- B. Variables
- C. Conversion factors
- D. Estimation
Correct answer: A
Rationale: The correct answer is A: PEMDAS. PEMDAS stands for the order of operations: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). It is a fundamental rule to follow in mathematics to ensure calculations are done correctly. Choices B, C, and D are incorrect as they do not encompass the essential rule that PEMDAS provides for solving mathematical expressions.
3. A rectangular field has an area of 1452 square feet. If the length is three times the width, what is the width of the field?
- A. 22 feet
- B. 44 feet
- C. 242 feet
- D. 1452 feet
Correct answer: A
Rationale: To find the width of the rectangular field, use the formula for the area of a rectangle: A = length × width. Given that the length is three times the width, you have A = 3w × w. Substituting the given area, 1452 = 3w^2. Solving for w, you get 484 = w^2. Taking the square root gives ±22, but since the width must be positive, the width of the field is 22 feet. Choice B, 44 feet, is incorrect because it represents the length, not the width. Choice C, 242 feet, is incorrect as it is not a factor of the area. Choice D, 1452 feet, is incorrect as it represents the total area of the field, not the width.
4. Which of the following is equivalent to 8 pounds and 8 ounces? (Round to the nearest tenth of a kilogram.)
- A. 3.6 kilograms
- B. 3.9 kilograms
- C. 17.6 kilograms
- D. 18.7 kilograms
Correct answer: B
Rationale: To convert 8 pounds and 8 ounces to kilograms, first convert 8 ounces to pounds by dividing by 16 (since 1 pound = 16 ounces): 8 ounces / 16 = 0.5 pounds. Then add this to the original 8 pounds: 8 pounds + 0.5 pounds = 8.5 pounds. To convert pounds to kilograms, use the conversion factor 1 pound = 0.453592 kilograms. Therefore, 8.5 pounds × 0.453592 kg = 3.855 kilograms, which rounds to 3.9 kilograms. Choice A (3.6 kilograms), Choice C (17.6 kilograms), and Choice D (18.7 kilograms) are incorrect conversions or have errors in calculation compared to the correct conversion of 3.9 kilograms.
5. In a class of 48 students, there are 22 boys and 26 girls. What is the ratio of girls to boys in the class?
- A. 26:11
- B. 13:11
- C. 13:22
- D. 11:13
Correct answer: B
Rationale: To find the ratio of girls to boys, divide the number of girls by the number of boys: 26/22 = 13/11. Therefore, the correct ratio is 13:11. Choice A is incorrect as it includes an extra '00'. Choice C is incorrect as it reverses the order of girls to boys. Choice D is incorrect as it reverses the order and provides the ratio of boys to girls.
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