how do you find the least common multiple

ATI TEAS 7

Practice Math TEAS TEST

1. How do you find the least common multiple?

A. List all multiples of the numbers, then find the smallest common one
B. List all factors of the numbers, then find the largest common one
C. Divide the largest number by the smallest
D. Multiply the two numbers together

Correct answer: A

Rationale: The correct way to find the least common multiple is to list all the multiples of each number and then identify the smallest common multiple. Choice A is correct because it describes the correct process. Listing factors, as suggested in choice B, helps in finding the greatest common factor, not the least common multiple. Dividing the largest number by the smallest, as mentioned in choice C, does not help find the least common multiple. Multiplying the two numbers together, as stated in choice D, results in their least common multiple when the numbers have no common factors.

2. It can be inferred from the advertisement that

A. A person staffing this position may work independently and/or as part of a team.
B. Veronica Davis will make the hiring decisions.
C. Caseloads will start out small for new hires.
D. A candidate could work part-time if he or she chooses to.

Correct answer: A

Rationale: It can be inferred from the advertisement that a person staffing this position may work independently and/or as part of a team. The job description mentions the requirement for the ability to work both self-directed and as part of a team, indicating flexibility in working styles. Choice B is incorrect as Veronica Smith is mentioned as the contact for application submission, not the hiring decision-maker. Choice C is incorrect as there is no mention of caseload sizes for new hires. Choice D is incorrect as the advertisement does not specify part-time work as an option.

3. What is the unit of measurement for density?

A. Grams per liter (g/L)
B. Kilograms per cubic meter (kg/m³)
C. Pounds per square inch (psi)
D. Newtons per meter (N/m)

Correct answer: A

Rationale: Density is defined as mass per unit volume. The most commonly used unit for density in the metric system is grams per liter (g/L). Kilograms per cubic meter (kg/m³) is also a common unit for density, but grams per liter is more frequently used in everyday measurements. Pounds per square inch (psi) is a unit of pressure, not density. Newtons per meter (N/m) is a unit of force per unit length, not density.

4. A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional 25% off of the sale price. If the consumer pays $237 for the recliner, what is the original price of the recliner to the nearest dollar?

A. $316
B. $431
C. $451
D. $527

Correct answer: D

Rationale: To find the original price of the recliner, you need to reverse calculate. Let x be the original price. The sale price is 70% of the original price, and after the additional 25% coupon discount, the consumer pays $237. Setting up the equation: x × 0.70 × 0.75 = 237. Solving this equation, x ≈ $527. Therefore, the original price of the recliner was approximately $527. Choices A, B, and C are incorrect as they do not align with the correct calculation based on the given discounts.

5. Convert 0.29 pounds to ounces.

A. 2.9 ounces
B. 4.64 ounces
C. 29 ounces
D. 46.4 ounces

Correct answer: B

Rationale: To convert pounds to ounces, you need to know that there are 16 ounces in a pound. Multiplying 0.29 pounds by 16 gives you 4.64 ounces. Therefore, the correct answer is B. Choice A (2.9 ounces) is incorrect as it doesn't consider the conversion factor of 16 ounces per pound. Choice C (29 ounces) and Choice D (46.4 ounces) are incorrect because they incorrectly interpret the conversion from pounds to ounces.