Math Practice TEAS Test

Math Practice TEAS Test Related

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Margery plans a vacation with costs for airfare, hotel (5 nights), sightseeing, and meals. If she receives a 10% discount on additional hotel nights, what will she spend?

  • A. 1328.35
  • B. 1373.5
  • C. 1381.4
  • D. 1417.6
Correct Answer: A

Rationale: To calculate Margery's total cost, we first need to find the cost without the discount. Let's say the original cost is x. With a 10% discount, she saves 10% of the cost of additional hotel nights. Since she is staying for 5 nights, the discount applies to 4 additional nights (5 - 1 night already included). Therefore, she saves 10% of 4 nights' cost. If x is the cost of 1 night, the total cost without discount is 5x. With the 10% discount, she saves 0.1 * 4x = 0.4x. So, the cost after discount is 5x - 0.4x = 4.6x. Given that the total cost is 5x for 5 nights, we can equate 5x to 4.6x to find x. Solving for x, we get x = Total cost / 5 = 5x / 5 = 4.6x / 5. Therefore, x = 4.6x / 5, which simplifies to x = 0.92 * 5x. This means 1 night's cost is 0.92 times the total cost for 5 nights. Given the total cost is $1328.35, we find the cost for 1 night is $1328.35 / 5 = $265.67. So, Margery will spend $1328.35 for her vacation.

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Arrange the following fractions from least to greatest: 2/3, 1/2, 5/8, 7/9.

  • A. 7/9, 5/8, 2/3, 1/2
  • B. 1/2, 2/3, 5/8, 7/9
  • C. 1/2, 5/8, 2/3, 7/9
  • D. 7/9, 2/3, 5/8, 1/2
Correct Answer: C

Rationale: To compare the fractions, it is beneficial to convert them to decimals or find a common denominator. When converted to decimals: 1/2 = 0.50, 5/8 = 0.625, 2/3 ≈ 0.666, and 7/9 ≈ 0.778. Therefore, the correct order from least to greatest is 1/2, 5/8, 2/3, 7/9. Choice A is incorrect because it places 7/9 first, which is the greatest fraction. Choice B is incorrect as it incorrectly lists the fractions. Choice D is incorrect as it starts with 7/9, which is the largest fraction instead of the smallest.

How many centimeters in an inch? How many inches in a centimeter?

  • A. 2.54 centimeters in an inch; 0.393 inches in a centimeter
  • B. 1 centimeter in an inch; 1 inch in a centimeter
  • C. 1.5 centimeters in an inch; 1.5 inches in a centimeter
  • D. 2 centimeters in an inch; 0.5 inches in a centimeter
Correct Answer: A

Rationale: The correct conversion is: 1 inch = 2.54 centimeters and 1 centimeter = 0.393 inches. Therefore, option A is correct. Option B is incorrect as the conversion is incorrect. Option C is incorrect as it does not match the correct conversion values. Option D is incorrect as the conversion values provided are inaccurate.

After a hurricane, donations were collected and divided into various categories. If 23% of the funds went towards construction costs, what is the percentage donated to support construction?

  • A. 0.49
  • B. 0.23
  • C. 0.18
  • D. 0.1
Correct Answer: B

Rationale: The correct answer is B (0.23). To find the percentage of funds donated for construction costs, we need to consider the given percentage, which is 23%. In decimal form, 23% is represented as 0.23. Choices A, C, and D are incorrect because they do not match the correct decimal equivalent of 23%, which is 0.23. It's essential to convert percentages to decimal form accurately to calculate the correct percentage of funds allocated for a specific purpose.

Given a double bar graph, which statement is true about the distributions of Group A and Group B?

  • A. Group A is negatively skewed, Group B is normal.
  • B. Group A is positively skewed, Group B is normal.
  • C. Group A is positively skewed, Group B is neutral.
  • D. Group A is normal, Group B is negatively skewed.
Correct Answer: B

Rationale: The correct answer is B. In statistical terms, a positively skewed distribution means that the tail on the right side of the distribution is longer or fatter than the left side, indicating more high values. Therefore, Group A is positively skewed. Conversely, an approximately normal distribution, also known as a bell curve, is symmetrical with no skewness. Hence, Group B is normal. Choices A, C, and D are incorrect because they do not accurately describe the skewness of Group A and the normal distribution of Group B as depicted in a double bar graph.

"is" in math means what?

  • A. Equals
  • B. Multiply
  • C. Subtract
  • D. Add
Correct Answer: A

Rationale: In mathematics, "is" signifies equality, meaning that the values or expressions on both sides of the equation are the same. For example, in the equation 2+2=4, the phrase "2 + 2 is 4" indicates that the sum of 2 and 2 equals 4.
"Multiply" refers to the operation of combining two numbers to obtain a product. For instance, in the expression 34, we multiply 3 by 4 to get 12.
"Subtract" means to take one number away from another, resulting in a difference. For example, in 5−2, we subtract 2 from 5 to get 3.
"Add" refers to the operation of combining two numbers to get a sum. For example, in 2+3, we add 2 and 3 to get 5.

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