joshua needs more than 92 points to qualify for a scholarship each question is worth 4 points and there are 30 questions what inequality determines ho
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ATI TEAS 7

Math Practice TEAS Test

1. Joshua needs more than 92 points to qualify for a scholarship. Each question is worth 4 points, and there are 30 questions. What inequality determines how many questions he must answer correctly?

Correct answer: B

Rationale: To determine the number of questions Joshua must answer correctly, we divide the total points required (92) by the points per question (4) to get 23. Since he needs more than 92 points, he must answer more than 23 questions correctly, which is represented by the inequality 4x > 92. Choices A, C, and D are incorrect because they do not accurately reflect the requirement for Joshua to answer more than 92 points' worth of questions.

2. Simplify the expression below. Which of the following is correct? 3.45 * 0.53

Correct answer: A

Rationale: To solve 3.45 * 0.53, multiply the numbers to get 1.8285. Therefore, the correct answer is A. Choice B is incorrect because it incorrectly moves the decimal point. Choice C is incorrect as it is a fraction of the correct answer. Choice D is incorrect as it results from an error in moving the decimal point.

3. 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?

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.

4. A charter bus driver drove at an average speed of 65 mph for 305 miles. If he stops at a gas station for 15 minutes, then drives another 162 miles at an average speed of 80 mph, how long will it have been since he began the trip?

Correct answer: D

Rationale: To find the total time, we first calculate the time taken for the first leg of the trip by dividing the distance of 305 miles by the speed of 65 mph, which equals 4.69 hours. After that, we add the 15 minutes spent at the gas station, which is 0.25 hours. Next, we calculate the time taken for the second leg of the trip by dividing the distance of 162 miles by the speed of 80 mph, which equals 2.03 hours. Adding these times together (4.69 hours + 0.25 hours + 2.03 hours) gives us a total time of 6.97 hours. Therefore, it will have been 6.97 hours since the driver began the trip. Choice A is incorrect as it does not account for the time spent driving the second leg of the trip. Choice B is incorrect as it only considers the time for the first leg of the trip and the time spent at the gas station. Choice C is incorrect as it misses the time taken for the second leg of the trip.

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.

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