TEAS Test Math Prep

TEAS Test Math Prep Related

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A certain exam has 30 questions. A student gets 1 point for each question answered correctly and loses half a point for each question answered incorrectly; no points are gained or lost for questions left blank. If x represents the number of questions a student answers correctly and y represents the number of questions left blank, which of the following expressions represents the student's score on the exam?

  • A. x - y/2
  • B. x - y
  • C. 30 - (x + y)
  • D. 30 - x - y/2
Correct Answer: A

Rationale: The student's score is calculated by adding the points earned for correct answers (x) and subtracting the points lost for incorrect answers (y/2). Therefore, the expression for the student's score on the exam is x - y/2. Option A is correct because it accurately represents this calculation. Option B (x - y) is incorrect as it does not account for the penalty of losing half a point for each incorrect answer. Option C (30 - (x + y)) is incorrect as it subtracts the total number of questions from the sum of correct and blank answers, which does not represent the scoring system. Option D (30 - x - y/2) is also incorrect as it incorrectly subtracts x from 30 and then deducts y divided by 2, which is not the correct scoring method for the exam.

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When the sampling distribution of means is plotted, which of the following is true?

  • A. The distribution is approximately normal.
  • B. The distribution is positively skewed.
  • C. The distribution is negatively skewed.
  • D. There is no predictable shape to the distribution.
Correct Answer: A

Rationale: When the sampling distribution of means is plotted, the distribution tends to be approximately normal, especially as the sample size increases. This phenomenon is described by the Central Limit Theorem, which states that the sampling distribution of the sample mean will be normally distributed regardless of the shape of the original population distribution as long as the sample size is sufficiently large. Choices B and C are incorrect because sampling distributions of means are not skewed. Choice D is incorrect because there is a predictable shape to the distribution, which is approximately normal.

Which of the following numbers is the largest?

  • A. 0.45
  • B. 0.096
  • C. 0.3
  • D. 0.313
Correct Answer: A

Rationale: Among the provided options, 0.45 is the largest number. To determine the largest number, compare the decimal values directly. 0.45 is greater than 0.313, 0.3, and 0.096. Therefore, 0.45 is the correct answer. Choice B (0.096) is the smallest as it has the lowest decimal value. Choice C (0.3) is greater than 0.096 but smaller than both 0.313 and 0.45. Choice D (0.313) is greater than 0.3 and 0.096 but smaller than 0.45, making it incorrect.

A quantity increases from 40 to 60. Express this increase as a percentage.

  • A. 26%
  • B. 50%
  • C. 35%
  • D. 12%
Correct Answer: B

Rationale: To calculate the percentage increase, use the formula:

Percentage Increase = ((New Value - Original Value) / Original Value) x 100

Substitute the values:

((60 - 40) / 40) x 100 = (20 / 40) x 100 = 0.5 x 100 = 50%

Therefore, the correct answer is 50%.

Choice A (26%) is incorrect as the percentage increase is not 26%. Choice C (35%) is incorrect as the percentage increase is not 35%. Choice D (12%) is incorrect as the percentage increase is not 12%.

Simplify the following expression: 5/9 15/36

  • A. 5/36
  • B. 8/27
  • C. 10/17
  • D. 15/27
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.

Which measure for the center of a small sample set would be most affected by outliers?

  • A. Mean
  • B. Median
  • C. Mode
  • D. None of the above
Correct Answer: A

Rationale: The mean is calculated by summing all values in a dataset and then dividing by the total number of values. Outliers, which are data points significantly different from the other values, can greatly impact the mean because they affect the sum. The mean is sensitive to extreme values, making it the measure for the center of a small sample set most affected by outliers. The median, on the other hand, is not influenced by outliers as it represents the middle value when the data points are ordered. The mode is the value that appears most frequently in the dataset and is not directly influenced by outliers. Therefore, the correct answer is the mean, as it is highly influenced by outliers in a small sample set.

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