ATI TEAS 7
TEAS Test Math Prep
1. Solve this equation: 2x+8=0
- A. -4
- B. 3
- C. 5
- D. 0
Correct answer: A
Rationale: To solve 2 ๐ฅ + 8 = 0 2x+8=0: Subtract 8 from both sides: 2 ๐ฅ = โ 8 2x=โ8 Divide both sides by 2: ๐ฅ = โ 8 2 = โ 4 x= 2 โ8 โ =โ4 Therefore, the solution is ๐ฅ = โ 4 x=โ4.
2. Simplify the following expression: 5 x 3 รท 9 x 4
- A. 5/12
- B. 8/13
- C. 20/27
- D. 47/36
Correct answer: A
Rationale: To simplify the expression 5 x 3 รท 9 x 4, first perform the multiplications and divisions from left to right: 5 x 3 = 15 and 9 x 4 = 36. So, the expression becomes 15 รท 36. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. Hence, 15 รท 36 = 15/36. To simplify the fraction further, find the greatest common divisor, which is 3. Divide both the numerator and denominator by 3 to get the final result: 15/36 = 5/12. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not represent the correct simplification of the given expression.
3. Veronica has to create the holiday schedule for the neonatal unit at her hospital. 35% of her staff will be unavailable during the holidays, and of the remaining staff, only 20% are certified to work in the neonatal unit. What percentage of the total staff is certified and available to work?
- A. 7%
- B. 13%
- C. 65%
- D. 80%
Correct answer: B
Rationale: The correct answer is 13%. To find the percentage of the total staff that is certified and available to work, we first calculate the percentage of staff available, which is 100% - 35% = 65%. Then, we find the percentage of the available staff that is certified, which is 20% of 65% = 0.20 ร 0.65 = 0.13, or 13%.
4. A driver drove 305 miles at 65 mph, stopped for 15 minutes, then drove another 162 miles at 80 mph. How long was the trip?
- A. 6.44 hours
- B. 6.69 hours
- C. 6.97 hours
- D. 5.97 hours
Correct answer: B
Rationale: To find the total trip duration, calculate the driving time for each segment and add the stop time. The driving time for the first segment is 305 miles รท 65 mph = 4.69 hours. The driving time for the second segment is 162 miles รท 80 mph = 2.025 hours. Adding the 15-minute stop (0.25 hours) gives a total time of 4.69 hours + 2.025 hours + 0.25 hours = 6.965 hours, which is closest to 6.69 hours (Choice B). Option A is incorrect as it miscalculates the total duration. Option C is incorrect as it overestimates the total duration. Option D is incorrect as it underestimates the total duration.
5. A farmer plans to install fencing around a certain field. If each side of the hexagonal field is 320 feet long, and fencing costs $75 per foot, how much will the farmer need to spend on fencing material to enclose the perimeter of the field?
- A. $2,240
- B. $2,800
- C. $3,360
- D. $4,480
Correct answer: C
Rationale: The field is a hexagon with six equal sides, each 320 feet long. To find the total cost of fencing material needed, multiply the cost per foot ($75) by the total perimeter of the field (6 sides x 320 feet). Therefore, the total cost will be $75 x 6 x 320 = $3,360. Thus, the farmer will need to spend $3,360 on fencing material. Choice A, $2,240, is incorrect as it does not account for the total perimeter of the field. Choice B, $2,800, is incorrect as it underestimates the total cost by not considering all sides of the hexagon. Choice D, $4,480, is incorrect as it overestimates the total cost by multiplying incorrectly or considering extra sides.
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