ATI TEAS 7
Practice Math TEAS TEST
1. The length of a rectangle is 3 units greater than its width. Which expression correctly represents the perimeter of the rectangle?
- A. 2W + 2(W + 3)
- B. W + W + 3
- C. W(W + 3)
- D. 2W + 2(3W)
Correct answer: A
Rationale: To find the perimeter of a rectangle, you add up all its sides. In this case, the length is 3 units greater than the width, so the length can be expressed as W + 3. The formula for the perimeter of a rectangle is 2W + 2(L), where L represents the length. Substituting W + 3 for L, the correct expression for the perimeter becomes 2W + 2(W + 3), which simplifies to 2W + 2W + 6 or 4W + 6. Choices B, C, and D do not correctly represent the formula for the perimeter of a rectangle. Choice B simply adds the width twice to 3, neglecting the length. Choice C multiplies the width by the sum of the width and 3, which is incorrect. Choice D combines the width and 3 times the width, which is not the correct formula for the perimeter of a rectangle.
2. If (D) is the distance traveled and (R) is the rate of travel, which of the following represents the relationship between D and R for the equation D=2R?
- A. D is twice as much as R
- B. R is twice as much as D
- C. R is two times D
- D. D is two more than R
Correct answer: A
Rationale: The equation D=2R means that D equals 2 times R, which translates to D being twice the value of R. Therefore, choice A, 'D is twice as much as R,' is the correct representation of the relationship between D and R. Choice B, 'R is twice as much as D,' incorrectly reverses the roles of D and R. Choice C, 'R is two times D,' incorrectly states the relationship between R and D. Choice D, 'D is two more than R,' does not accurately reflect the relationship presented in the equation.
3. Solve the equation 3(2x+5)=11x+5 for x. Which of the following is correct?
- A. 1
- B. 2
- C. -1
- D. -2
Correct answer: B
Rationale: To solve the equation, distribute 3 to both terms inside the parentheses: 6x + 15 = 11x + 5. Then, move 11x to the left side by subtracting it from both sides: 6x - 11x = 5 - 15. Simplify to get -5x = -10. Divide by -5 to isolate x: x = 2. Therefore, the correct answer is x = 2. Choices A, C, and D are incorrect because they do not match the correct solution obtained by solving the equation step by step.
4. Based on the information in the table showing healthcare spending per capita in a group of African nations, which country experienced the largest increase in dollars spent per capita from 2013 to 2015?
- A. Eritrea
- B. Sudan
- C. Tanzania
- D. Kenya
Correct answer: A
Rationale: Eritrea had the largest increase in healthcare spending per capita from 2013 to 2015. By comparing the data in the table, it is evident that Eritrea had the greatest change in dollars spent per capita during the specified period. Sudan, Tanzania, and Kenya did not experience as significant an increase in healthcare spending per capita as Eritrea did, making them incorrect choices.
5. How do you convert Fahrenheit to Celsius and Celsius to Fahrenheit?
- A. Fahrenheit to Celsius: Subtract 32, then divide by 1.8; Celsius to Fahrenheit: Multiply by 1.8, then add 32
- B. Fahrenheit to Celsius: Subtract 32, then divide by 2; Celsius to Fahrenheit: Multiply by 1.8, then add 20
- C. Fahrenheit to Celsius: Multiply by 2, then add 32; Celsius to Fahrenheit: Subtract 32, then divide by 1.8
- D. Fahrenheit to Celsius: Subtract 30, then divide by 1.8; Celsius to Fahrenheit: Multiply by 2, then add 32
Correct answer: A
Rationale: To convert Fahrenheit to Celsius, you start by subtracting 32 from the Fahrenheit temperature and then divide the result by 1.8. This formula accounts for the freezing point of water at 32°F and the conversion factor to Celsius. To convert Celsius to Fahrenheit, you multiply the Celsius temperature by 1.8 and then add 32. This process takes into consideration the conversion factor from Celsius to Fahrenheit and the freezing point of water. Choice B is incorrect as dividing by 2 instead of 1.8 would yield an inaccurate conversion. Choice C is incorrect as it involves incorrect operations for both conversions. Choice D is incorrect as subtracting 30 instead of 32 for Fahrenheit to Celsius and multiplying by 2 instead of 1.8 for Celsius to Fahrenheit would provide incorrect results.
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