simplify x y x y
Logo

Nursing Elites

ATI TEAS 7

TEAS Test Math Questions

1. Simplify (x^2 - y^2) / (x - y)

Correct answer: A

Rationale: The expression ๐‘ฅ^2 - ๐‘ฆ^2 is a difference of squares, which follows the identity: ๐‘ฅ^2 - ๐‘ฆ^2 = (๐‘ฅ + ๐‘ฆ)(๐‘ฅ - ๐‘ฆ). Therefore, the given expression becomes: (๐‘ฅ^2 - ๐‘ฆ^2) / (๐‘ฅ - ๐‘ฆ) = (๐‘ฅ + ๐‘ฆ)(๐‘ฅ - ๐‘ฆ) / (๐‘ฅ - ๐‘ฆ). Since (๐‘ฅ - ๐‘ฆ) appears in both the numerator and the denominator, they cancel each other out, leaving ๐‘ฅ + ๐‘ฆ. Thus, the simplified form of (๐‘ฅ^2 - ๐‘ฆ^2) / (๐‘ฅ - ๐‘ฆ) is ๐‘ฅ + ๐‘ฆ. Therefore, the correct answer is A (x + y). Option B (x - y) is incorrect as it does not result from simplifying the given expression. Option C (1) is incorrect as it does not account for the variables x and y present in the expression. Option D ((x + y)/(x - y)) is incorrect as it presents the simplified form in a different format than the correct answer.

2. At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim's house and gives him 6 of his apples. He then uses 3/4 of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?

Correct answer: D

Rationale: Xavier gives away half of his 20 apples (10), then gives 6 more apples, leaving him with 4 apples. He uses 3/4 of the remaining 4 apples (3) for the pie, leaving him with 1 apple at the end of the day. Therefore, the correct answer is 1. Choices A, B, and C are incorrect because they do not accurately reflect the calculations of apples given away and used for the pie, resulting in the remaining amount of 1 apple.

3. Solve for x: 2x + 6 = 14

Correct answer: A

Rationale: To solve the equation 2x + 6 = 14, you first subtract 6 from both sides to isolate 2x. This gives 2x = 8. Then, divide by 2 on both sides to find x. Therefore, x = 4. Choices B, C, and D are incorrect as they do not correctly follow the steps of solving the equation.

4. How much did he save from the original price?

Correct answer: B

Rationale: To calculate the amount saved from the original price, you need to subtract the discounted price from the original price. The formula is: Original price - Discounted price = Amount saved. In this case, the original price was $850, and the discounted price was $637.50. Therefore, $850 - $637.50 = $212.50. Hence, he saved $212.50 from the original price. Choice A ($170) is incorrect as it is not the correct amount saved. Choice C ($105.75) is incorrect as it does not match the calculated savings. Choice D ($200) is incorrect as it is not the accurate amount saved based on the given prices.

5. Which of the following is the decimal form of 87.5%?

Correct answer: C

Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 87.5% as a decimal is 0.875. Choice A (875) is incorrect as it represents the percentage without converting to a decimal. Choice B (8,750) is incorrect as it represents the percentage in whole numbers without decimal conversion. Choice D (8.75) is incorrect as it represents 875% instead of 87.5%.

Similar Questions

Robert scores three new clients every eight months. After how many months has he secured 24 new clients?
Four people split a bill. The first person pays 1/5, the second person pays 1/3, and the third person pays 1/12. What fraction of the bill does the fourth person pay?
Which percentage is greatest?
Simplify the following expression: 4 * (2/3) รท 1 * (1/6)
After a hurricane struck a Pacific island, donations began flooding into a disaster relief organization. The organization provided four options for donors. What percentage of the funds was donated to support construction costs?

Access More Features

ATI TEAS Premium Plus
$150/ 90 days

  • Actual ATI TEAS 7 Questions
  • 3,000 questions with answers
  • 90 days access

ATI TEAS Basic
$99/ 30 days

  • 3,000 Questions with answers
  • 30 days access

Other Courses