ATI TEAS 7
TEAS Test Practice Math
1. Robert secures three new clients every eight months. After how many months has he secured 24 new clients?
- A. 64
- B. 58
- C. 52
- D. 66
Correct answer: C
Rationale: To determine the number of months it takes for Robert to secure 24 new clients, we set up a proportion: 3 clients / 8 months = 24 clients / x months. Cross multiplying gives 3x = 8 * 24. Solving for x results in x = 64 / 3 = 52. Therefore, after 52 months, Robert has secured 24 new clients. Choice A (64) is incorrect as it miscalculates the solution. Choices B (58) and D (66) are also incorrect as they do not reflect the accurate calculation based on the given information.
2. As a company's stocks increase, production, sales, and investments also increase. Which of the following is the independent variable?
- A. Sales
- B. Stocks
- C. Production
- D. Investments
Correct answer: B
Rationale: The independent variable in this scenario is 'Stocks.' An independent variable is the one that is manipulated or controlled by the experimenter. In this case, stocks are the factor that is changing and influencing the other variables - production, sales, and investments. Production, sales, and investments are dependent on the changes in stocks; hence, they are the dependent variables. While production, sales, and investments may increase as a result of changes in stocks, the stocks themselves are the driving force behind these changes, making them the independent variable.
3. You measure the width of your door to be 36 inches. The true width of the door is 75 inches. What is the relative error in your measurement?
- A. 0.52%
- B. 0.01%
- C. 0.99%
- D. 0.10%
Correct answer: A
Rationale: The relative error is calculated using the formula: (|Measured Value - True Value| / True Value) * 100%. Substituting the values given, we have (|36 - 75| / 75) * 100% = (39 / 75) * 100% ≈ 0.52 * 100% = 0.52%. Therefore, the relative error in measurement is approximately 0.52%. Choice A is correct because it reflects this calculation. Choice B is incorrect as it represents a lower relative error than the actual value obtained. Choice C is incorrect as it overestimates the relative error. Choice D is incorrect as it underestimates the relative error.
4. 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.
5. What is a quotient?
- A. The result of dividing two numbers
- B. The result of multiplying two numbers
- C. The number left after subtraction
- D. The number remaining after a division
Correct answer: A
Rationale: A quotient is the result of dividing one number by another. Choice A is correct because it accurately defines a quotient as the outcome of a division operation. Choice B is incorrect because it describes the result of multiplying two numbers, not dividing them. Choice C is incorrect because it refers to the remainder of a subtraction operation, not a division. Choice D is incorrect because it mentions the number remaining after a division, which is typically referred to as the remainder and not the quotient.
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