ATI TEAS 7
TEAS Practice Math Test
1. Solve for x: 2x - 7 = 3
- A. x = 4
- B. x = 3
- C. x = -2
- D. x = 5
Correct answer: D
Rationale: To solve the equation for x, follow these steps: 2x - 7 = 3. Add 7 to both sides to isolate 2x, resulting in 2x = 10. Then, divide by 2 on both sides to find x, which gives x = 5. Therefore, the correct answer is x = 5. Choices A, B, and C are incorrect because they do not accurately solve the equation.
2. A car travels 60 miles in 1 hour. How long will it take to travel 180 miles at the same speed?
- A. 3 hours
- B. 4 hours
- C. 2.5 hours
- D. 5 hours
Correct answer: A
Rationale: To find the time needed to travel 180 miles at the same speed of 60 miles per hour, you divide the total distance by the speed. 180 miles ÷ 60 mph = 3 hours. Therefore, it will take 3 hours to travel 180 miles at the given speed. Choice B, 4 hours, is incorrect as it does not align with the calculation. Choice C, 2.5 hours, is incorrect as it underestimates the time needed for the distance. Choice D, 5 hours, is incorrect as it overestimates the time required based on the given speed.
3. Solve for x in the equation above: (x/y) - z = rw
- A. X = y(z + rw)
- B. X = rw(y - z)
- C. X = rwy + z
- D. X = rwy - z
Correct answer: A
Rationale: To solve for x, first, isolate x by moving the term involving x to one side of the equation. Begin by adding z to both sides of the equation to get (x/y) = rw + z. Then, multiply both sides by y to get x = y(rw + z), which simplifies to x = y(z + rw). Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not correctly rearrange the terms in the equation to solve for x.
4. What is the product of 2/3 and 3/4?
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer: A
Rationale: To multiply fractions, you multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. Therefore, multiplying 2/3 by 3/4 results in (2*3) / (3*4) = 6/12. Simplifying 6/12 by dividing both the numerator and denominator by 6 gives 1. Hence, the correct answer is 1. Choices B, C, and D are incorrect as they do not represent the correct product of multiplying 2/3 by 3/4.
5. If a car travels 150 miles in 3 hours, what is the car's average speed in miles per hour?
- A. 45 mph
- B. 50 mph
- C. 55 mph
- D. 60 mph
Correct answer: B
Rationale: To calculate the average speed, use the formula: Average speed = Total distance / Total time. In this case, Average speed = 150 miles / 3 hours = 50 mph. Therefore, the car's average speed is 50 miles per hour. Choice A (45 mph), Choice C (55 mph), and Choice D (60 mph) are incorrect as they do not match the correct calculation based on the given distance and time values.
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