Practice Math TEAS TEST

Correct Answer: A

Rationale: The correct answer is A: 3x-12. To express 'Twelve less than thrice a number,' we first represent 'a number' as x. Then 'thrice a number' is 3x. Finally, 'Twelve less than thrice a number' translates to 3x-12. Other choices are incorrect because they do not accurately represent the given expression. Choice B (12-3x) reverses the order of operations, choice C (3-12x) incorrectly multiplies instead of subtracting, and choice D (12x-3) mistakenly subtracts the number from 12 instead of subtracting 12 from the number multiplied by 3.

Correct Answer: A

Rationale: The correct answer is A because to find the least common multiple (LCM) of two numbers, you need to list all the multiples of each number and then identify the smallest common multiple. This method ensures that you consider all possible common multiples and select the smallest one. Explanation for other choices: B: Listing factors and finding the largest common factor would result in the greatest common divisor, not the least common multiple. C: Dividing the largest number by the smallest does not give the LCM; it may give a different value altogether. D: Multiplying the two numbers together gives the product of the numbers, not the LCM.

Correct Answer: A

Rationale: The correct answer is A: A shared multiple of two denominators. In order to add or subtract fractions, they must have a common denominator. This means they need to have the same bottom number. By finding the least common multiple of the denominators, you ensure that the fractions have the same base for accurate calculations. Choice B is incorrect because the common denominator is related to the denominators, not the numerators. Choice C is incorrect as the common denominator specifically refers to the bottom number in fractions. Choice D is incorrect as a common denominator may not necessarily divide evenly into both fractions, but it must be a multiple of both denominators.

Correct Answer: B

Rationale: To solve the equation 3(2x+5)=11x+5 for x, first distribute the 3 on the left side to get 6x+15=11x+5. Next, move all terms with x to one side by subtracting 6x from both sides to get 15=5x+5. Then, subtract 5 from both sides to get 10=5x. Finally, divide by 5 to solve for x, giving x=2. Therefore, the correct answer is B. Choice A is incorrect because x is not equal to 1. Choice C is incorrect because x is not equal to -1. Choice D is incorrect because x is not equal to -2.

Correct Answer: A

Rationale: The correct answer is A: 3x-12. To express 'Twelve less than thrice a number,' we first represent 'a number' as x. Then 'thrice a number' is 3x. Finally, 'Twelve less than thrice a number' translates to 3x-12. Other choices are incorrect because they do not accurately represent the given expression. Choice B (12-3x) reverses the order of operations, choice C (3-12x) incorrectly multiplies instead of subtracting, and choice D (12x-3) mistakenly subtracts the number from 12 instead of subtracting 12 from the number multiplied by 3.