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Advanced ATI TEAS 7 Math Questions 2024

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Advanced ATI TEAS 7 Math Questions 2024

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  • September 3, 2024
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  • 2024/2025
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  • Advanced ATI TEAS 7 Math
  • Advanced ATI TEAS 7 Math
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Advanced ATI TEAS 7 Math Questions 2024

**1.** Solve for \(x\) in the quadratic equation \(x^2 - 5x + 6 = 0\).

**Ans:** \(x = 2\) or \(x = 3\)



**2.** What is the solution to the system of equations:

\[2x + 3y = 12\]

\[4x - y = 1\]?

**Ans:** \(x = 2\), \(y = 4\)



**3.** Calculate the area of a sector with a central angle of \(60^\circ\) in a circle with a radius of 8.

**Ans:** 33.51 (using \(\frac{\theta}{360} \times \pi r^2\))



**4.** Solve for \(x\) in the equation \(\frac{3x + 5}{2} = 7\).

**Ans:** \(x = 3\)



**5.** What is the value of \( \log_{10}1000 \)?

**Ans:** 3



**6.** Determine the median of the following data set: {12, 7, 3, 18, 11, 6, 14, 10}.

**Ans:** 10.5



**7.** Find the value of \( \left(\frac{2}{5} \right)^{-2} \).

**Ans:** 6.25



**8.** Calculate the standard deviation for the data set {5, 7, 3, 7, 9}.

**Ans:** 1.41

, **9.** What is the volume of a cone with a base radius of 4 and a height of 9?

**Ans:** 150.8 (using \(\frac{1}{3}\pi r^2 h\))



**10.** Solve for \(x\) in the inequality \(3x - 7 \leq 8\).

**Ans:** \(x \leq 5\)



**11.** Find the length of the hypotenuse of a right triangle with legs of length 6 and 8.

**Ans:** 10 (using Pythagorean theorem)



**12.** What is the probability of rolling a sum of 7 on two dice?

**Ans:** \(\frac{6}{36}\) or \(\frac{1}{6}\)



**13.** Simplify the expression \(\frac{4x^2 - 9}{2x - 3}\).

**Ans:** \(2x + 3\)



**14.** Calculate the compound interest earned on $5000 at an annual interest rate of 4%
compounded quarterly for 2 years.

**Ans:** $408.16 (using \(A = P \left(1 + \frac{r}{n} \right)^{nt}\))



**15.** What is the value of \(\frac{d}{dx}(3x^3 - 4x^2 + 6x - 7)\)?

**Ans:** \(9x^2 - 8x + 6\)



**16.** Solve for \(x\) in the logarithmic equation \(\log_2 (x) = 5\).

**Ans:** \(x = 32\)



**17.** What is the area of a trapezoid with bases 10 and 15 and height 7?

**Ans:** 87.5

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