ATI TEAS 7
Math Practice TEAS Test
1. 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.
2. If 𝑛 = 8, then n is between which of the following ranges?
- A. 5 and 7
- B. 7 and 9
- C. 9 and 11
- D. 3 and 5
Correct answer: B
Rationale: To find the range where n lies when n = 8, we consider numbers greater and lesser than 8. The range would be between 7 and 9, not 9 and 11 as stated in the original rationale. Option A (5 and 7) and Option D (3 and 5) are lower ranges, while Option C (9 and 11) exceeds the upper limit.
3. What is the area of the largest circle that can fit entirely inside a rectangle that measures 8 centimeters by 10 centimeters?
- A. 18π cm²
- B. 10π cm²
- C. 16π cm²
- D. 8π cm²
Correct answer: C
Rationale: The largest circle that can fit inside the rectangle would have a diameter of 8 cm, which means the radius is half of the diameter, thus 4 cm. The area of a circle is calculated using the formula A = πr², where r is the radius. Substituting the radius value into the formula, the area of the circle is π(4)² = 16π cm². Therefore, the correct answer is 16π cm². Choice A (18π cm²), B (10π cm²), and D (8π cm²) are incorrect because they do not represent the area of the largest circle that fits inside the given rectangle.
4. What is a quotient?
- A. The result of dividing two numbers
- B. The result of multiplying two numbers
- C. The number left after subtraction
- D. The number remaining after a division
Correct answer: A
Rationale: A quotient is the result of dividing one number by another. Choice A is correct because it accurately defines a quotient as the outcome of a division operation. Choice B is incorrect because it describes the result of multiplying two numbers, not dividing them. Choice C is incorrect because it refers to the remainder of a subtraction operation, not a division. Choice D is incorrect because it mentions the number remaining after a division, which is typically referred to as the remainder and not the quotient.
5. To rent tablecloths from a rental vendor, there is an initial charge of $40. There is an additional charge of $5 per circular tablecloth (c) and $3.50 per rectangular tablecloth (r). Which of the following represents the total cost (T) to rent tablecloths?
- A. 5r + 3.5c - 40 = T
- B. 5c + 3.5r + 40 = T
- C. 5c + 3.5r - 40 = T
- D. 5r + 3.5c + 40 = T
Correct answer: B
Rationale: The total cost (T) consists of the initial charge of $40 plus the additional charges based on the number of tablecloths. The correct expression for T is T = 5c + 3.5r + 40. This accounts for the $5 per circular tablecloth (5c), $3.50 per rectangular tablecloth (3.5r), and the initial $40 charge. Choice A is incorrect as it subtracts the initial charge instead of adding it. Choice C is also incorrect as it subtracts the initial charge and has the coefficients in the wrong positions. Choice D adds the initial charge at the end instead of at the beginning, making it incorrect. Therefore, choice B is the correct representation of the total cost to rent tablecloths.
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