ATI TEAS 7
Math Practice TEAS Test
1. "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 3×4, 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.
2. A bucket can hold 2500 mL. How many liters can the bucket hold?
- A. 0.25 L
- B. 25 L
- C. 2.5 L
- D. 250 L
Correct answer: C
Rationale: To convert milliliters (mL) to liters (L), you divide by 1000 since 1000 mL is equivalent to 1 liter. Therefore, 2500 mL is equal to 2.5 liters (2500 mL ÷ 1000 = 2.5 L). Choice A (0.25 L) is incorrect as it represents a conversion error by a factor of 10. Choice B (25 L) is incorrect as it incorrectly multiplies instead of dividing by 1000. Choice D (250 L) is incorrect as it overestimates the conversion by a factor of 100.
3. Four people split a bill. The first person pays for 1/3, the second person pays for 1/4, and the third person pays for 1/6. What fraction of the bill does the fourth person pay?
- A. 1/4
- B. 1/6
- C. 1/3
- D. 1/12
Correct answer: D
Rationale: To find out what fraction of the bill the fourth person pays, you first calculate the total fraction paid by the first three people: 1/3 + 1/4 + 1/6 = 4/12 + 3/12 + 2/12 = 9/12 = 3/4. This means that the first three people paid 3/4 of the bill. Therefore, the fourth person pays the remaining fraction: 1 - 3/4 = 1/4. So, the fourth person pays 1/4 of the bill. Choice A, 1/4, is incorrect because this is the total fraction paid by the first person. Choice B, 1/6, is incorrect as this is the fraction paid by the second person. Choice C, 1/3, is incorrect as this is the fraction paid by the third person.
4. Given the histograms shown below, which of the following statements is true?
- A. Group A is negatively skewed and has a mean less than Group B.
- B. Group A is positively skewed and has a mean greater than Group B.
- C. Group B is negatively skewed and has a mean greater than Group A.
- D. Group B is positively skewed and has a mean less than Group A.
Correct answer: C
Rationale: The correct answer is C. Group B is negatively skewed, indicating more high scores, leading to a higher mean for Group B when compared to Group A. Choice A is incorrect because Group A is not negatively skewed and doesn't have a mean less than Group B. Choice B is incorrect as Group A is not positively skewed and its mean is not greater than Group B. Choice D is also incorrect because Group B having a mean less than Group A contradicts the fact that Group B has a higher mean due to being negatively skewed.
5. If you have a rectangle with a width of 5 inches and a length of 10 inches and scale it by a factor of 2, what will the new perimeter be?
- A. 30 inches
- B. 40 inches
- C. 60 inches
- D. 50 inches
Correct answer: C
Rationale: When a rectangle is scaled by a factor of 2, both the length and width are multiplied by 2. The new dimensions become width = 5 * 2 = 10 inches and length = 10 * 2 = 20 inches. Therefore, the new perimeter is calculated as 2 * (10 + 20) = 60 inches. Choice A, B, and D are incorrect as they do not reflect the correct calculation based on scaling the dimensions of the rectangle.
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