ATI TEAS 7
TEAS Math Practice Test
1. What is the value of 0.0523 expressed as a fraction?
- A. 523/10000
- B. 523/1000
- C. 523/100
- D. 523/10
Correct answer: A
Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.0523 can be expressed as 523/10000 since the last digit is in the ten-thousandths place. Choice A is correct. Choices B, C, and D are incorrect because they represent different decimal values and do not match the correct conversion of 0.0523.
2. Robert plans to drive 1,800 miles. His car gets 30 miles per gallon, and his tank holds 12 gallons. How many tanks of gas will he need for the trip?
- A. 4 tanks
- B. 5 tanks
- C. 6 tanks
- D. 7 tanks
Correct answer: B
Rationale: To calculate how many gallons of gas Robert needs for the 1,800-mile trip, divide the total distance by the car's mileage per gallon: 1,800 miles ÷ 30 mpg = 60 gallons. Since his tank holds 12 gallons, Robert will need 60 gallons ÷ 12 gallons per tank = 5 tanks of gas for the trip. Choice A (4 tanks), Choice C (6 tanks), and Choice D (7 tanks) are incorrect as they do not correctly calculate the number of tanks needed based on the car's mileage and tank capacity.
3. Solve for y: 2y + 5 = 25 * 10
- A. y = 25
- B. y = 100
- C. y = 150
- D. y = 200
Correct answer: B
Rationale: To solve the equation 2y + 5 = 25 * 10, start by simplifying the right side: 25 * 10 = 250. Then, subtract 5 from both sides to isolate 2y: 2y = 250 - 5 = 245. Finally, divide by 2 to find the value of y: y = 245 / 2 = 122.5. Therefore, the correct answer is y = 122.5. Choices A, C, and D are incorrect as they do not result from the correct calculation steps.
4. Four more than a number is 2 less than 5\6 of another number. Which equation represents this?
- A. x + 4 = 5\6y - 2
- B. x + 4 = 2 - 5\6y
- C. 4 + x = 5\6y + 2
- D. x + 4 = 5\6y - 2
Correct answer: A
Rationale: The equation that represents the relationship is x + 4 = 5\6y - 2.
5. Which proportion yields a different number for the unknown compared to the others?
- A. 2/3 = x/6
- B. 4/5 = x/10
- C. 3/4 = x/8
- D. 5/6 = x/12
Correct answer: D
Rationale: To find the value of x in each proportion, cross multiply. For proportion A, x = 4; for B, x = 8; for C, x = 6; and for D, x = 10. Hence, proportion D yields a different value for x compared to the others. Choices A, B, and C all result in unique values for x, but these values are distinct from the value obtained in proportion D.
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