ATI TEAS 7
TEAS Practice Test Math
1. A patient requires a 30% increase in the dosage of their medication. Their current dosage is 270 mg. What will their dosage be after the increase?
- A. 81 mg
- B. 270 mg
- C. 300 mg
- D. 351 mg
Correct answer: D
Rationale: To calculate a 30% increase from the current dosage of 270 mg, first find 30% of 270, which is 81 mg. Add this 81 mg increase to the original dosage of 270 mg to get the new dosage, which is 351 mg (270 mg + 81 mg = 351 mg). Therefore, the correct answer is 351 mg. Choice A (81 mg) is incorrect because this value represents only the calculated 30% increase, not the total dosage after the increase. Choice B (270 mg) is the original dosage and does not account for the 30% increase. Choice C (300 mg) is close to the correct answer but does not consider the precise 30% increase calculation, leading to an incorrect total dosage.
2. 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.
3. Three friends are sharing a burger. One friend eats a quarter of the burger. The other two friends equally divide the rest among themselves. What portion of the burger did each of the other two friends receive?
- A. 6-Jan
- B. 4-Jan
- C. 4-Mar
- D. 8-Mar
Correct answer: D
Rationale: After one friend eats a quarter of the burger, 3/4 of the burger remains. Dividing this equally between the other two friends means each receives 3/8 of the whole burger. Therefore, the correct answer is 8-Mar. Choice A (6-Jan), Choice B (4-Jan), and Choice C (4-Mar) are incorrect as they do not accurately represent the portion each of the other two friends receives after one friend consumes a quarter of the burger.
4. If the width of a rectangle is 4 inches (in) and the area of the rectangle is 32 in², what is the length of the rectangle?
- A. 8 in
- B. 28 in
- C. 36 in
- D. 128 in
Correct answer: A
Rationale: To find the length of the rectangle, we use the formula: Length = Area / Width. Substituting the values given, Length = 32 in² / 4 in = 8 in. Therefore, the correct answer is A. Choice B (28 in), Choice C (36 in), and Choice D (128 in) are incorrect because they do not correctly calculate the length based on the given width and area of the rectangle.
5. Simplify the following expression: 6 + 7 × 3 - 4 × 2
- A. -42
- B. -20
- C. 23
- D. 20
Correct answer: B
Rationale: ollow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)): Multiply: 7 × 3 = 21, and 4 × 2 = 8 Perform addition and subtraction: 6 + 21 - 8 = 19 Thus, the simplified expression equals 19.
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