ATI TEAS 7
TEAS Test Math Prep
1. Solve the following: 4 x 7 + (25 – 21)²
- A. 512
- B. 36
- C. 44
- D. 22
Correct answer: B
Rationale: First, solve the expression inside the parentheses: 25 − 21 = 4 25−21=4 Then, square the result from the parentheses: 4 2 = 16 4 2 =16 Perform the multiplication: 4 × 7 = 28 4×7=28 Finally, add the results: 28 + 16 = 44 28+16=44
2. What is the result of adding 1/6 and 1/2, expressed in reduced form?
- A. 9/7
- B. 1/3
- C. 31/36
- D. 3/5
Correct answer: B
Rationale: To add 1/6 and 1/2, you need a common denominator, which is 6. So, 1/6 + 3/6 = 4/6. Simplifying 4/6 gives 2/3, which is the correct answer (1/3). Choices A, C, and D are incorrect as they do not represent the correct sum of the fractions 1/6 and 1/2.
3. Melissa is ordering fencing to enclose a square area of 5625 square feet. How many feet of fencing does she need?
- A. 75 feet
- B. 150 feet
- C. 300 feet
- D. 5,625 feet
Correct answer: C
Rationale: To find the side length of the square, we take the square root of the area: √5625 ft² = 75 ft. The perimeter of a square is 4 times its side length, so the fencing needed is 4 × 75 ft = 300 ft. Therefore, Melissa needs 300 feet of fencing to enclose the square area of 5625 square feet. Option A (75 feet) is the side length of the square, not the fencing needed. Option B (150 feet) is half of the correct answer and does not account for all sides of the square. Option D (5,625 feet) is the total area, not the length of fencing required.
4. Using the chart below, which equation describes the relationship between x and y?
- A. x = 3y
- B. y = 3x
- C. y = 1/3x
- D. x/y = 3
Correct answer: B
Rationale: The correct equation that describes the relationship between x and y based on the chart is y = 3x. This is because each y-value in the chart is 3 times the x-value. Choice A (x = 3y) is incorrect as it implies x is 3 times y, which is the opposite of the relationship shown in the chart. Choice C (y = 1/3x) is incorrect since the relationship in the chart indicates y is 3 times x, not a third of x. Choice D (x/y = 3) is incorrect as it represents a ratio between x and y equal to 3, which is not in line with the relationship depicted in the chart.
5. Alan currently weighs 200 pounds, but he wants to lose weight to get down to 175 pounds. What is the difference in kilograms? (1 pound is approximately equal to 0.45 kilograms.)
- A. 9 kg
- B. 11.25 kg
- C. 78.75 kg
- D. 90 kg
Correct answer: B
Rationale: The difference between Alan's current weight of 200 pounds and his goal weight of 175 pounds is 25 pounds (200 pounds - 175 pounds). To convert pounds to kilograms, you multiply the number of pounds by 0.45 (not divide by 2.2). Thus, 25 pounds is approximately 11.25 kilograms (25 pounds x 0.45). Therefore, the difference in kilograms is 11.25 kg. Choice A is incorrect because it miscalculates the conversion. Choices C and D are significantly higher values and do not reflect the correct conversion from pounds to kilograms.
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