ATI TEAS 7
TEAS Exam Math Practice
1. Which of the following is not a negative value?
- A. (−3)(−1)(2)(−1)
- B. 14 – 7 + (−7)
- C. 7 – 10 + (−8)
- D. −5(−2)(−3)
Correct answer: B
Rationale: To identify the negative value, simplify each expression. A) simplifies to 6 which is positive. B) simplifies to 0 which is neither positive nor negative. C) simplifies to -11 which is negative. D) simplifies to -30 which is negative. Therefore, only choice B results in a non-negative value, making it the correct answer.
2. How many quarts are in a gallon?
- A. 1 quart
- B. 2 quarts
- C. 3 quarts
- D. 4 quarts
Correct answer: D
Rationale: The correct answer is D, which is 4 quarts in a gallon. In the US customary system, there are 4 quarts in a gallon. Choice A is incorrect as it represents the equivalent of a quart, not a gallon. Choice B and C are incorrect as they are smaller quantities than a gallon and do not match the conversion of quarts to a gallon.
3. How can you distinguish between these three types of graphs - scatterplots: Quadratic, Exponential, Linear?
- A. Linear: straight line; Quadratic: U-shape; Exponential: rises or falls quickly in one direction
- B. Linear: curved line; Quadratic: straight line; Exponential: horizontal line
- C. Linear: zigzag line; Quadratic: U-shape; Exponential: flat line
- D. Linear: straight line; Quadratic: W-shape; Exponential: vertical line
Correct answer: A
Rationale: To differentiate between the three types of graphs - scatterplots, a linear graph will display a straight line, a quadratic graph will have a U-shape, and an exponential graph will show a rapid rise or fall in one direction. Choice B is incorrect because linear graphs are represented by straight lines, not curved lines. Choice C is incorrect as linear graphs do not exhibit zigzag patterns, and exponential graphs do not typically result in flat lines. Choice D is incorrect because quadratic graphs form a U-shape, not a W-shape, and exponential graphs do not represent vertical lines.
4. Given that three vertices of a parallelogram are (1, 2), (3, 4), and (5, 6), what are the coordinates of the fourth vertex?
- A. (1, 6)
- B. (3, 2)
- C. (5, 2)
- D. (7, 8)
Correct answer: D
Rationale: To find the fourth vertex of a parallelogram, we can use the properties of a parallelogram. Opposite sides of a parallelogram are parallel and equal in length. Therefore, we can determine the fourth vertex by extending the line formed by the first two points. If we extend the line from (1, 2) to (3, 4), we find that it has a slope of 1. This means that extending the line from (3, 4) by the same slope will give us the fourth vertex. By adding 2 units to both x and y coordinates of (5, 6), we get (7, 8) as the coordinates of the fourth vertex. Therefore, the correct answer is (7, 8). Choices A, B, and C are incorrect as they do not satisfy the properties of a parallelogram and the given coordinate points.
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?
- A. $1,328.35
- B. $1,373.50
- C. $1,381.40
- D. $1,417.60
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).
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