ATI TEAS 7
TEAS 7 Math Practice Test Questions
Question 1 of 5
Simplify the following expression: 4 * (2/3) · 1 * (1/6)
Correct Answer: C
Rationale: To simplify the expression, first convert the mixed numbers into fractions: 4 * (2/3) · 1 * (1/6). This becomes 4 * 2/3 · 1 * 1/6. Next, perform the multiplication and division from left to right: 8/3 · 1 * 1/6 = 8/3 * 1 * 6 = 8/3 * 6 = 16. Therefore, the correct answer is 4. Choice A (2) is incorrect as it does not represent the final simplified expression. Choice B (3 1/3) is incorrect as it does not match the result of simplifying the expression. Choice D (4 1/2) is incorrect as it does not match the result of simplifying the expression.
Question 2 of 5
A can has a radius of 1.5 inches and a height of 3 inches. Which of the following best represents the volume of the can?
Correct Answer: C
Rationale: The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height. Substituting the given values (r = 1.5 inches, h = 3 inches) into the formula yields V ≈ 21.2 in³. Therefore, the correct answer is C. Choice A, 17.2 in³, is incorrect as it does not correspond to the correct calculation. Choice B, 19.4 in³, is also incorrect and does not match the calculated volume. Choice D, 23.4 in³, is not the correct volume obtained when using the provided dimensions in the formula for the volume of a cylinder.
Question 3 of 5
Margery is planning a vacation, and her round-trip airfare will cost $572. Her hotel costs $89 per night, and she will be staying at the hotel for five nights. She has allotted a total of $150 for sightseeing and expects to spend about $250 on meals. She will receive a 10% discount on the hotel price after the first night. What is the total amount Margery expects to spend on her vacation?
Correct Answer: C
Rationale: To calculate Margery's total expenses: Airfare ($572) + Hotel ($89 * 5 nights) = $572 + $445 = $1017. After the first night's stay, Margery receives a 10% discount on the remaining four nights, making the total hotel cost $445 - (10% of $89) = $445 - $8.90 = $436.10. Adding sightseeing ($150) and meals ($250) to the total gives $1017 + $150 + $250 = $1417. Margery's expected expenses are $1417, not $1381.40 as stated in the original rationale. Therefore, the correct answer is $1,417.60 (Option D).
Question 4 of 5
After a hurricane struck a Pacific island, donations began flooding into a disaster relief organization. The organization provided four options for donors. What percentage of the funds was donated to support construction costs?
Correct Answer: B
Rationale: The correct answer is B (23%). The information was obtained from the pie chart which indicated that 23% of the funds were allocated to support construction costs. Choice A (49%), Choice C (18%), and Choice D (10%) are incorrect as they do not reflect the accurate percentage designated for construction costs according to the data provided.
Question 5 of 5
Simplify the following expression: 7 + 16 - (5 + 6 3) - 10 2
Correct Answer: B
Rationale: In this question, the correct answer is B) -20. To simplify the expression, we follow the order of operations (PEMDAS/BODMAS): parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). First, we simplify within the parentheses: 5 + 6 * 3 = 5 + 18 = 23 Now, we substitute this back into the original expression: 7 + 16 - 23 - 10 * 2 Next, we multiply 10 * 2 = 20: 7 + 16 - 23 - 20 Now, we perform addition and subtraction from left to right: 7 + 16 = 23 23 - 23 = 0 0 - 20 = -20 Therefore, the correct answer is -20. Option A) -42 is incorrect because the calculations were not done correctly, resulting in a different value. Option C) 23 is incorrect as it represents the simplified value within the parentheses but does not follow through with the rest of the expression. Option D) 20 is incorrect as it does not consider the correct order of operations and the simplification steps required in the given expression. Understanding and applying the order of operations is crucial in simplifying mathematical expressions accurately, ensuring correct solutions to problems like this one.