ATI TEAS 7
TEAS Practice Math Test
1. Jerry needs to load four pieces of equipment onto a factory elevator that has a weight limit of 800 pounds. Jerry weighs 200 pounds. What would be the average weight of each item so that the elevator's weight limit is not exceeded?
- A. 128 pounds
- B. 150 pounds
- C. 175 pounds
- D. 180 pounds
Correct answer: B
Rationale: To find the average weight per item, subtract Jerry's weight from the elevator's weight limit: 800 - 200 = 600 pounds. Since there are 4 items, divide 600 by 4 to determine that each item should weigh 150 pounds. Choice A (128 pounds), C (175 pounds), and D (180 pounds) are incorrect as they do not correctly calculate the average weight per item to ensure the elevator's weight limit is not exceeded.
2. Approximately how many people voted for the proposition if 9.5% of the town's population of 51,623 voted for it in a municipal election?
- A. 3,000
- B. 5,000
- C. 7,000
- D. 10,000
Correct answer: B
Rationale: To find the approximate number of people who voted for the proposition, multiply the town's population by the percentage that voted for it. 9.5% of 51,623 is about 0.095 * 51,623 ≈ 4,904. Rounded to the nearest thousand, this gives an estimate of 5,000 people. Therefore, choice B, '5,000,' is the correct answer. Choices A, C, and D are incorrect as they do not align with the calculated estimation.
3. A scientist is trying to determine how much poison will kill a rat the fastest. Which of the following statements is an example of an appropriate hypothesis?
- A. Rats that are given lots of poison seem to die quickly.
- B. Does the amount of poison affect how quickly the rat dies?
- C. The more poison a rat is given, the quicker it will die.
- D. Poison is fatal to rats.
Correct answer: C
Rationale: A valid hypothesis must be a testable statement that predicts a relationship between variables. Option C is the only statement that presents a clear cause-and-effect relationship between the amount of poison given and the time it takes for the rat to die. Option A is descriptive without predicting an outcome, option B is a question rather than a statement, and option D is a general fact about poison and rats, lacking a specific hypothesis for testing.
4. 4 − 1/(22) + 24 ÷ (8 + 12). Simplify the expression. Which of the following is correct?
- A. 1.39
- B. 2.74
- C. 4.95
- D. 15.28
Correct answer: C
Rationale: First, complete the operations in parentheses: 4 − (1/22) + 24 ÷ 20. Next, simplify the exponents: 4 − (1/22) + 24 ÷ 20 = 4 − (1/4) + 24 ÷ 20. Then, complete multiplication and division operations: 4 − (1/4) + 24 ÷ 20 = 4 − 0.25 + 1.2. Finally, complete addition and subtraction operations: 4 − 0.25 + 1.2 = 4.95. Choice A, 1.39, is incorrect as it does not match the correct calculation. Choice B, 2.74, is incorrect as it is not the result of the given expression. Choice D, 15.28, is incorrect as it is not the correct simplification of the initial expression.
5. x ÷ 7 = x − 36. Solve the equation. Which of the following is correct?
- A. x = 6
- B. x = 42
- C. x = 4
- D. x = 252
Correct answer: B
Rationale: To solve the equation x ÷ 7 = x − 36, start by multiplying both sides by 7 to get 7(x ÷ 7) = 7(x − 36), which simplifies to x = 7x − 252. Next, subtract 7x from both sides to get -6x = -252. Finally, divide both sides by -6 to solve for x, which results in x = 42. Therefore, the correct answer is x = 42. Choice A (x = 6), Choice C (x = 4), and Choice D (x = 252) are incorrect as they do not align with the correct solution derived from the equation.
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