ATI TEAS 7
TEAS Exam Math Practice
1. Simplify the expression. What is the value of x? (5/4)x = 20
- A. 8
- B. 16
- C. 24
- D. 32
Correct answer: D
Rationale: To solve for x, multiply both sides by the reciprocal of 5/4 to isolate x. (4/5)(5/4)x = (4/5)20; x = 16. Therefore, the correct answer is 32. Choice A (8), Choice B (16), and Choice C (24) are incorrect as they do not represent the correct value of x obtained after correctly simplifying the expression.
2. Elevation above sea level and temperature are negatively correlated variables. Which of the following statements describes the relationship between the variables?
- A. As elevation decreases, temperature remains the same
- B. As elevation decreases, temperature decreases
- C. As elevation increases, temperature decreases
- D. As elevation increases, temperature increases
Correct answer: C
Rationale: The correct answer is C: 'As elevation increases, temperature decreases.' In a negative correlation, the variables move in opposite directions. As elevation rises, temperature tends to decrease. Choice A is incorrect because a negative correlation implies that as one variable increases, the other decreases. Choices B and D are incorrect because they suggest that temperature either remains the same or increases as elevation decreases or increases, which is inconsistent with a negative correlation.
3. A circular swimming pool has a circumference of 49 feet. What is the diameter of the pool?
- A. 15.6 feet
- B. 17.8 feet
- C. 49 feet
- D. 153.9 feet
Correct answer: A
Rationale: The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Given C = 49 feet, we can rearrange the formula to solve for d: 49 feet = πd. To find the diameter, we divide both sides by π, giving us d = 49 feet / π ≈ 15.6 feet. Therefore, the diameter of the swimming pool is approximately 15.6 feet. Choices B, C, and D are incorrect because they do not align with the calculation based on the formula for the circumference of a circle.
4. Simplify the expression 3x - 5x + 2.
- A. -2x + 2
- B. -8x
- C. 2x + 2
- D. -2x
Correct answer: D
Rationale: When simplifying the expression 3x - 5x + 2, start by combining like terms. -5x is subtracted from 3x to give -2x. Adding 2 at the end gives the simplified expression -2x. Therefore, the correct answer is -2x. Choice A, -2x + 2, incorrectly adds 2 at the end. Choice B, -8x, incorrectly combines the coefficients of x without considering the constant term. Choice C, 2x + 2, incorrectly adds the coefficients of x without simplifying.
5. How do you convert pounds to kg and kg to pounds?
- A. Multiply by 2.2 for pounds; divide by 2.2 for kg
- B. Multiply by 2 for pounds; divide by 2 for kg
- C. Multiply by 1.8 for pounds; divide by 1.8 for kg
- D. Multiply by 1.5 for pounds; divide by 1.5 for kg
Correct answer: A
Rationale: To convert pounds to kg, you need to divide by 2.2, not multiply. Similarly, to convert kg to pounds, you should multiply by 2.2. Therefore, choice A is correct. Choices B, C, and D are incorrect because they provide incorrect conversion factors for pounds and kg, leading to inaccurate results.
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