simplify the following expression 59 1536
Logo

Nursing Elites

ATI TEAS 7

TEAS Test Math Prep

1. Simplify the following expression: 5/9 × 15/36

Correct answer: A

Rationale: To simplify the given expression, multiply the numerators together and the denominators together. 5/9 × 15/36 = (5 × 15) / (9 × 36) = 75 / 324. Now, simplify the resulting fraction by finding the greatest common divisor (GCD) of 75 and 324, which is 3. Divide both the numerator and denominator by 3 to get the simplified fraction: 75 ÷ 3 / 324 ÷ 3 = 25 / 108. Therefore, the simplified form of 5/9 × 15/36 is 25/108, which is equivalent to 5/36. Choice A, 5/36, is the correct answer. Choice B, 8/27, is incorrect as it does not match the simplified form of the expression. Choice C, 10/17, is unrelated and does not result from the given multiplication. Choice D, 15/27, does not correspond to the simplification of the given expression.

2. In a study of the average weight of babies at different time intervals after birth, the babies’ measured weight is which of the following variables?

Correct answer: C

Rationale: The baby's measured weight is the dependent variable as it depends on the time intervals.

3. Simplify the following expression: 7 + 16 - (5 + 6 × 3) - 10 × 2

Correct answer: B

Rationale: Start by solving the multiplication and parentheses. The answer is -20.

4. The phone bill is calculated each month using the equation C = 50 + 75D. The cost of the phone bill per month is represented by C, and D represents the gigabytes of data used that month. What is the value and interpretation of the slope of this equation?

Correct answer: A

Rationale: The slope of the equation C = 50 + 75D is 75. This means that for each additional gigabyte used (represented by D), the cost (represented by C) increases by 75 dollars. Therefore, the correct interpretation of the slope is that it is 75 dollars per gigabyte. Choice B, 75 gigabytes per day, is incorrect as the slope does not represent the rate of data usage per day. Choice C, 50 dollars per day, is incorrect as it does not reflect the relationship between gigabytes used and the cost. Choice D, 50 dollars per gigabyte, is incorrect as it does not match the slope value of 75 in the equation.

5. To begin making her soup, Jennifer added four containers of chicken broth with 1 liter of water into the pot. Each container of chicken broth contains 410 milliliters. How much liquid is in the pot?

Correct answer: B

Rationale: Each container of chicken broth contains 410 milliliters. Jennifer added four containers, which totals 4 * 410 = 1640 milliliters of chicken broth. She then added 1 liter of water, equivalent to 1000 milliliters. Combining all the liquids, we get 1640 + 1000 = 2640 milliliters, which equals 2.64 liters. Choice A is incorrect because it miscalculates the total liquid volume. Choice C is incorrect as it greatly overestimates the liquid amount. Choice D is incorrect as it also overestimates the liquid content in the pot.

Similar Questions

Which number is larger, 0.5 or 1/3?
Bridget is repainting her rectangular bedroom. Two walls measure 15 feet by 9 feet, and the other two measure 12.5 feet by 9 feet. One gallon of paint covers an average of 32 square meters. Which of the following is the number of gallons of paint that Bridget will use? (There are 3.28 feet in 1 meter.)
On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance in miles?
Which decimal is the smallest?
What is the median of the data set: 3, 5, 7, 9, 11?

Access More Features

ATI TEAS Premium Plus
$149.99/ 90 days

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

ATI TEAS Basic
$49/ 30 days

  • 3,000 Questions with answers
  • 30 days access

Other Courses