ATI TEAS 7
TEAS Practice Test Math
1. Which of the following statements demonstrates a negative correlation between two variables?
- A. People who play baseball more tend to have more hits
- B. Shorter people tend to weigh less than taller people
- C. Tennis balls that are older tend to have less bounce
- D. Cars that are older tend to have higher mileage
Correct answer: C
Rationale: The correct answer is C. This statement demonstrates a negative correlation between two variables as it indicates that as tennis balls age, their bounce tends to decrease. In a negative correlation, as one variable increases, the other tends to decrease. Choices A, B, and D do not illustrate a negative correlation. Choice A describes a positive correlation, as playing baseball more is associated with having more hits. Choice B does not show a correlation but a general observation. Choice D also does not demonstrate a correlation; it simply states that older cars tend to have higher mileage, without implying a relationship between age and mileage.
2. How much hydrochloric acid (HCl) is necessary to make 2.5 liters of a 5:1 solution of water (in liters) to HCl (in grams)?
- A. 0.5 grams
- B. 2 grams
- C. 5 grams
- D. 12.5 grams
Correct answer: C
Rationale: To create a 5:1 solution in 2.5 liters, 0.5 liters are needed for HCl, which translates to 5 grams. The correct answer is 5 grams, as this amount corresponds to the 5:1 ratio specified in the solution. Choices A, B, and D are incorrect because they do not align with the 5:1 ratio and the volume of the solution.
3. What defines a proper fraction versus an improper fraction?
- A. Proper: numerator < denominator; Improper: numerator > denominator
- B. Proper: numerator > denominator; Improper: numerator < denominator
- C. Proper: numerator = denominator; Improper: numerator < denominator
- D. Proper: numerator < denominator; Improper: numerator = denominator
Correct answer: A
Rationale: A proper fraction is characterized by having a numerator smaller than the denominator, while an improper fraction has a numerator larger than the denominator. Therefore, choice A is correct. Choice B is incorrect because it states the opposite relationship between the numerator and denominator for proper and improper fractions. Choice C is incorrect as it describes a fraction where the numerator is equal to the denominator, which is a different concept. Choice D is incorrect as it associates a numerator being smaller than the denominator with an improper fraction, which is inaccurate.
4. Complete the following equation: 2 + (2)(2) - 2 ÷ 2 = ?
- A. 5
- B. 3
- C. 2
- D. 1
Correct answer: A
Rationale: To solve the equation, follow the order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). 1. Calculate inside the parentheses first: (2)(2) = 4. 2. Then, perform multiplication and division: 2 + 4 - 1 = 6 - 1 = 5. Therefore, the correct answer is 5. Choice B (3) is incorrect because multiplication is done before subtraction. Choices C (2) and D (1) are incorrect as they do not follow the correct order of operations to solve the equation.
5. If 35% of a paycheck is deducted for taxes and 4% for insurance, what is the total percent taken out of the paycheck?
- A. 20%
- B. 31%
- C. 39%
- D. 42%
Correct answer: C
Rationale: When 35% is deducted for taxes and 4% for insurance, the total percentage taken out of the paycheck is 35% + 4% = 39%. Therefore, the correct answer is 39%, which corresponds to option C. Option A (20%) is incorrect because it does not account for the total deductions. Option B (31%) is incorrect as it does not sum up the percentages correctly. Option D (42%) is incorrect as it overestimates the total deductions.
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