Practice Math TEAS TEST

Correct Answer: A

Rationale: To find the sum of three times a number and eight times a different number, we need to add 3 times the first number (3x) to 8 times the second number (8y). Therefore, the correct expression is 3x + 8y (Choice A). This choice correctly represents the operation of adding the terms. Choices B, C, and D either incorrectly combine the coefficients of x and y or use subtraction instead of addition, making them incorrect for this question.

Correct Answer: B

Rationale: The correct answer is B: Find all pairs of numbers that multiply to give the number. To find factors, we need to identify pairs of numbers that, when multiplied together, result in the original number. This method ensures that we consider all possible combinations of factors. Dividing the number by all possible numbers (A) is not efficient and may lead to overlooking certain factors. Listing all the multiples of the number (C) is incorrect as it focuses on multiples rather than factors. Adding the digits of the number together (D) is unrelated to finding factors.

Correct Answer: D

Rationale: Step 1: Let x be the original price of the recliner. Step 2: Sale price = x - 0.3x = 0.7x Step 3: Price after coupon = 0.7x - 0.25(0.7x) = 0.525x Step 4: Set up equation: 0.525x = 237 Step 5: Solve for x: x = 237 / 0.525 ≈ $451 Step 6: The original price is closest to $451, making option C incorrect. Step 7: Check why other choices are incorrect: - Option A: $316 is too low for the original price. - Option B: $431 is the calculated sale price, not the original price. - Option D: $527 is the original price based on the calculation.

Correct Answer: A

Rationale: The correct answer is A because a factor is a number that can be multiplied by another number to give the original number. For example, in the case of 6, factors would be 1, 2, 3, and 6. These numbers can be multiplied to get 6. Choice B is incorrect because it describes a divisor. Choice C is incorrect as it does not specifically define a factor but rather a relationship between two numbers. Choice D is incorrect as factors can be numbers less than, equal to, or greater than 1.

Correct Answer: A

Rationale: The correct answer is A because a prime number is defined as a number that is divisible by only 1 and itself. This means prime numbers have exactly two factors, 1 and the number itself, making them indivisible by any other number. Choice B is incorrect because prime numbers are not divisible by any other numbers except 1 and themselves. Choice C is incorrect because prime numbers are not divisible by any number, only by 1 and themselves. Choice D is incorrect because prime numbers actually have exactly two factors, not three.