simplify the expression which of the following is the value of x 54x 5 322x 6
Logo

Nursing Elites

ATI TEAS 7

TEAS Exam Math Practice

1. Simplify the expression. Which of the following is the value of x? (5(4x – 5) = (3/2)(2x – 6))

Correct answer: C

Rationale: To solve the given proportion 5(4x – 5) = (3/2)(2x – 6), first distribute to get 20x - 25 = 3x - 9. Then, simplify the linear equation by isolating x: 20x - 3x = 25 - 9, which leads to 17x = 16. Finally, solving for x gives x = 16/17. Choice A is incorrect as it does not match the calculated value of x. Choice B is incorrect as it does not correspond to the correct solution for x. Choice D is incorrect as it does not align with the accurate value of x obtained from solving the equation.

2. What defines a composite number?

Correct answer: C

Rationale: A composite number is a positive integer greater than one that has more than two factors. Choice A is incorrect because a number with only two factors is a prime number. Choice B is incorrect as being a fraction does not define a composite number. Choice D is incorrect because a number with exactly two factors is a prime number, not a composite number.

3. How will 0.80 be written as a percent?

Correct answer: D

Rationale: To convert a decimal to a percent, you multiply by 100. Therefore, 0.80 * 100 = 80%. The correct answer is D. Choice A (40%) is incorrect as 0.80 is not equivalent to 40%. Choice B (125%) is incorrect as it is greater than 100%. Choice C (90%) is incorrect as it does not reflect the correct conversion of 0.80 to a percent.

4. Futuristic Furniture gave the man two choices: pay the entire amount in one payment with cash, or pay $1000 as a down payment and $120 per month for two full years in the financing plan. If the man chooses the financing plan, how much more would he pay?

Correct answer: B

Rationale: If the man chooses the financing plan, he pays $1000 as a down payment initially. Over the two-year period, he will be paying $120 per month for a total of 24 months, which amounts to $120 x 24 = $2880. Therefore, the total amount he pays for the furniture through the financing plan is $1000 (down payment) + $2880 (monthly payments) = $3880. Comparing this total with the entire amount paid in one payment with cash would be $3880 - $3000 = $880 more. So, the man would pay $880 more if he chooses the financing plan. Therefore, the correct answer is $1280 more, not $1480, $1600, or $2480. These amounts do not accurately represent the additional cost incurred by choosing the financing plan.

5. Express 18/5 as a reduced mixed number.

Correct answer: A

Rationale: 18/5 = 3 with a remainder of 3, so it is 3 3/5. 3 1/15 is equivalent to 46/15 which is greater than 18/5 3 1/18 converts to 55/18 which is also greater than 18/5 3 1/54 converts to 163/54

Similar Questions

Susan decided to celebrate getting her first nursing job by purchasing a new outfit. She bought a dress for $69.99, shoes for $39.99, and accessories for $34.67. What was the total cost of Susan’s outfit?
Which of the following is the y-intercept of the line whose equation is 7y − 42x + 7 = 0?
Given that three vertices of a parallelogram are (1, 2), (3, 4), and (5, 6), what are the coordinates of the fourth vertex?
Eric buys 5 1/2 pounds of apples each week for four weeks. How many total pounds does he buy?
In a study where 60% of respondents use smartphones to check their email, and 5,000 respondents were included, how many respondents use smartphones for email?

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