ATI TEAS 7
TEAS Test Math Questions
1. Solve for x in the equation: 3x - 5 = 16
- A. 7
- B. 5
- C. 8
- D. 9
Correct answer: C
Rationale: To solve for x, add 5 to both sides of the equation: 3x - 5 + 5 = 16 + 5, which simplifies to 3x = 21. Next, divide both sides by 3: x = 21 Γ· 3 = 7. Therefore, the correct answer is x = 7, making option A the correct choice. Option C, '8,' is incorrect as it is not the solution obtained from the correct calculations. Options B and D, '5' and '9,' are also incorrect and not the solution to the given equation.
2. 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.
3. Simplify (x^2 - y^2) / (x - y)
- A. x + y
- B. x - y
- C. 1
- D. (x + y)/(x - y)
Correct answer: A
Rationale: The expression π₯^2 - π¦^2 is a difference of squares, which follows the identity: π₯^2 - π¦^2 = (π₯ + π¦)(π₯ - π¦). Therefore, the given expression becomes: (π₯^2 - π¦^2) / (π₯ - π¦) = (π₯ + π¦)(π₯ - π¦) / (π₯ - π¦). Since (π₯ - π¦) appears in both the numerator and the denominator, they cancel each other out, leaving π₯ + π¦. Thus, the simplified form of (π₯^2 - π¦^2) / (π₯ - π¦) is π₯ + π¦. Therefore, the correct answer is A (x + y). Option B (x - y) is incorrect as it does not result from simplifying the given expression. Option C (1) is incorrect as it does not account for the variables x and y present in the expression. Option D ((x + y)/(x - y)) is incorrect as it presents the simplified form in a different format than the correct answer.
4. Solve the equation for the unknown. 3x + 2 = 20
- A. x = 2
- B. x = 4
- C. x = 6
- D. x = 8
Correct answer: C
Rationale: Simplify the equation step by step: Subtract 2 from both sides: 3x + 2 - 2 = 20 - 2 3x = 18 Divide both sides by 3: x = 18 Γ· 3 x = 6 Therefore, the correct answer is C (x = 6).
5. Half of a circular garden with a radius of 11.5 feet needs weeding. Find the area in square feet that needs weeding. Round to the nearest hundredth. Use 3.14 for Ο.
- A. 2.4
- B. 207.64
- C. 15.1
- D. 30.1
Correct answer: B
Rationale: The formula for the area of a full circle is calculated as Area = Ο Γ (radiusΒ²). When finding the area of half a circle, we multiply by 0.5. Thus, the formula becomes Area = 0.5 Γ Ο Γ (radiusΒ²). Given that the radius of the circular garden is 11.5 feet, the calculation using Ο = 3.14 is as follows: Area = 0.5 Γ 3.14 Γ (11.5Β²) = 0.5 Γ 3.14 Γ 132.25 = 0.5 Γ 415.27 = 207.64 square feet. Therefore, the correct answer is B. Choices A, C, and D are incorrect because they do not reflect the correct calculation for finding the area of half a circular garden with a radius of 11.5 feet.
Similar Questions
Access More Features
ATI TEAS Premium Plus
$149.99/ 90 days
- Actual ATI TEAS 7 Questions
- 3,000 questions with answers
- 90 days access
ATI TEAS Basic
$99/ 30 days
- 3,000 Questions with answers
- 30 days access