robert is planning to drive 1800 miles on a cross country trip if his car gets 30 miles per gallon and his tank holds 12 gallons of gas how many tanks
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ATI TEAS 7

TEAS 7 Math Practice Test

1. Robert is planning to drive 1,800 miles on a cross-country trip. If his car gets 30 miles per gallon and his tank holds 12 gallons of gas, how many tanks of gas will he need to complete the trip?

Correct answer: B

Rationale: To find out how many tanks of gas Robert needs for the 1,800-mile trip, first, we calculate the distance his car can travel on a full tank: 30 miles per gallon × 12 gallons = 360 miles per tank. Next, divide the total trip distance by the distance per tank: 1,800 miles ÷ 360 miles per tank = 5 tanks. Therefore, Robert will need 5 tanks of gas to complete the cross-country trip. Choices A, C, and D are incorrect as they do not accurately calculate the number of tanks needed based on the given information.

2. Which of the following is NOT a way to write 40 percent of N?

Correct answer: B

Rationale: The correct answer is B: N/40. To find 40% of N, you multiply N by 0.4, so 0.4N is the correct representation. Choice B, N/40, is incorrect because dividing N by 40 does not give you 40% of N. Choice C, 2/5 N, is equivalent to 40% of N since 2/5 is the same as 40% when simplified. Choice D, 40N/100, is also correct since 40% can be represented as 40/100, which simplifies to 0.4, making 40N/100 another valid way to write 40% of N.

3. The total perimeter of a rectangle is 36 cm. If the length of each side is 12 cm, what is the width?

Correct answer: C

Rationale: The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Given that the total perimeter is 36 cm and each side's length is 12 cm, we substitute the values into the formula: 36 = 2(12 + w). Solving for w gives us w = 6. Therefore, the width of the rectangle is 6 cm. Choice A (3 cm) is incorrect because the width is not half of the length. Choice B (12 cm) is the length, not the width. Choice D (8 cm) is incorrect as it does not match the calculated width of 6 cm.

4. Veronica paid an additional $3,015 for a surround sound system and $5,218 for a maintenance package. What was the total price of her new car?

Correct answer: B

Rationale: To calculate the total price of Veronica's new car, you must sum the original price of the car with the additional costs. Veronica paid $3,015 for the surround sound system and $5,218 for the maintenance package, totaling $3,015 + $5,218 = $8,233 in additional costs. Adding this to the original price of the car, $40,210, gives $40,210 + $8,233 = $48,443. Therefore, the total price of Veronica's new car is $48,443. Choice A, $50,210, is incorrect as it does not factor in the correct additional costs. Choice C, $43,225, is incorrect because it does not include the additional costs. Choice D, $40,210, is incorrect as it only represents the original price of the car without the added expenses.

5. On a highway map, the scale indicates that 1 inch represents 45 miles. If the distance on the map is 3.2 inches, how far is the actual distance in miles?

Correct answer: A

Rationale: To find the actual distance in miles, you need to set up a proportion using the scale provided (1 inch = 45 miles). Since the distance on the map is 3.2 inches, you can set up the proportion: 1 inch / 45 miles = 3.2 inches / x miles. Cross-multiply to solve for x: 1 * x = 45 * 3.2, x = 144. Therefore, the actual distance in miles is 144. Choices B, C, and D are incorrect because they do not accurately calculate the actual distance using the scale provided.

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