what is the product of two irrational numbers
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ATI TEAS 7

TEAS Test Sample Math Questions

1. What is the product of two irrational numbers?

Correct answer: C

Rationale: The correct answer is C: 'Irrational or rational.' When you multiply two irrational numbers, the result can be either irrational or rational. For example, multiplying the square root of 2 (โˆš2) by itself results in the rational number 2. This shows that the product of two irrational numbers can lead to a rational result. Choices A, B, and D are incorrect because the product of two irrational numbers is not limited to being irrational; it can also be rational.

2. Solve this equation: 2x+8=0

Correct answer: A

Rationale: To solve 2 ๐‘ฅ + 8 = 0 2x+8=0: Subtract 8 from both sides: 2 ๐‘ฅ = โˆ’ 8 2x=โˆ’8 Divide both sides by 2: ๐‘ฅ = โˆ’ 8 2 = โˆ’ 4 x= 2 โˆ’8 โ€‹ =โˆ’4 Therefore, the solution is ๐‘ฅ = โˆ’ 4 x=โˆ’4.

3. A student scores 85% on a test with 50 questions. How many questions did the student answer correctly?

Correct answer: C

Rationale: To find the number of questions answered correctly, you multiply the percentage (85%) by the total number of questions (50). 85% of 50 questions is 0.85 * 50 = 43 questions answered correctly. Therefore, the correct answer is 43 questions. Choices A, B, and D are incorrect as they do not reflect the accurate calculation based on the given information.

4. What is the value of 0.0523 expressed as a fraction?

Correct answer: A

Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.0523 can be expressed as 523/10000 since the last digit is in the ten-thousandths place. Choice A is correct. Choices B, C, and D are incorrect because they represent different decimal values and do not match the correct conversion of 0.0523.

5. 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?

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.

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