ATI TEAS 7
Practice Math TEAS TEST
1. What is a common denominator?
- A. A shared multiple of two denominators
- B. A shared factor of two numerators
- C. A number that is the same in all fractions
- D. A number that divides evenly into both fractions
Correct answer: A
Rationale: A common denominator is a shared multiple of the denominators in a set of fractions. It is necessary when adding or subtracting fractions to have a common denominator to ensure that the fractions can be combined accurately. Choice B is incorrect because the common denominator is related to the denominators, not the numerators. Choice C is incorrect because while the common denominator is the same in all fractions being added or subtracted, it is not necessarily a number that is the same in all fractions. Choice D is incorrect because a common denominator is a multiple of the denominators, not a number that divides evenly into both fractions.
2. Which of the following expressions represents the sum of three times a number and eight times a different number?
- A. 3x + 8y
- B. 8x + 3x
- C. 3x - 8y
- D. 8x - 3y
Correct answer: A
Rationale: The correct expression for the sum of three times a number and eight times a different number is given by 3x + 8y. This represents adding three times the variable x (3x) to eight times the variable y (8y). Choice B (8x + 3x) is incorrect as it represents adding eight times x to three times x, which is redundant. Choice C (3x - 8y) is incorrect because it represents subtracting eight times y from three times x, not their sum. Choice D (8x - 3y) is also incorrect as it represents subtracting three times y from eight times x, not their sum.
3. A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?
- A. $12
- B. $66
- C. $22
- D. $69
Correct answer: B
Rationale: To find the sale price after a 15% discount, you calculate 15% of $78, which is $11.70. Subtracting $11.70 from the original price gives $66.30. Since the price is typically rounded, the estimated sale price is $66. Choice A, $12, is too low and does not reflect a 15% discount off $78. Choice C, $22, and choice D, $69, are also incorrect as they do not accurately estimate the sale price after a 15% discount.
4. What is the length of the unknown leg of a right triangle that has one leg measuring 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)
- A. 16.7 feet
- B. 16.0 feet
- C. 17.4 feet
- D. 8.4 feet
Correct answer: A
Rationale: To find the length of the unknown leg (a) of a right triangle, use the Pythagorean theorem: a² + 9² = 19². Substitute the known values, solve for a: a² + 81 = 361. Subtract 81 from both sides to get a² = 280. Taking the square root of 280 gives a ≈ 16.7 feet. Therefore, the correct answer is 16.7 feet. Choice B (16.0 feet) is incorrect as it does not accurately round to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value using the Pythagorean theorem.
5. A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi?
- A. 11.25 πin²
- B. 29.57 πin²
- C. 18.35 πin²
- D. 20.25 πin²
Correct answer: D
Rationale: To find the area of a circle, we use the formula A = πr², where r is the radius of the circle. In this case, the diameter is 9 inches, so the radius is half of the diameter, which is 4.5 inches. Substituting the radius into the formula, we get A = π(4.5)² = 20.25 πin². Therefore, the correct answer is 20.25 πin². Choices A, B, and C are incorrect because they do not correctly calculate the area using the radius of the circle.
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