2022 TEKS Test Review

 $\sqrt{9-11x}=8$  

What value of x makes this equation true?

• x = -5

• x = 32

• x = 5

• x = -32

What is the inverse of the function shown?

• $y=\left(x-2\right)^2+3\ with\ D=\left[2,\ \infty\right)$

• $y=\left(x-2\right)^2-3\ with\ D=\left[2,\ \infty\right)$

• $y=\left(x-2\right)^2-3\ with\ D=\left[3,\ \infty\right)$

• $y=\left(x-3\right)^2-2\ with\ D=\left[-3,\ \infty\right)$

 $\left(x-3\right)^{\frac{1}{3}}=2$  

Solve

• x = 11

• x = 7

• x = 5

• x = 1

The graphs of y = x³ and y = (x)^1/3 are shown.

Which of the following is true?

• Both functions have a domain of all real numbers.

• Both functions are increasing.

• The functions are inverses of each other.

• All of these.

If a colony of 100 bacteria tripled in size each day, which equation would help determine the time frame when the colony has a population of 1200 bacteria?

•  $300\left(2\right)^x=1200$  

•  $100\left(3\right)^x=1200$  

•  $100\left(2\right)^{3x}=1200$  

•  $100\left(6\right)^x=1200$  

 $25^x=\frac{1}{125}$  

Solve

• x = -

• x = - $\frac{2}{3}$  

• x = - $\frac{3}{2}$  

• x = -2

• The graph is an increasing function.

• The y-intercept of the graph is (0, 4).

• The graph has a horizontal asymptote at y = 4.

• All of these.

 $f\left(x\right)=\log_5\left(x+1\right)$  Which of the following is the inverse of the function above?

•  $f^{-1}\left(x\right)=5^{\left(x+1\right)}$  

•  $f^{-1}\left(x\right)=5^x+1$  

•  $f^{-1}\left(x\right)=5^x-1$  

•  $f^{-1}\left(x\right)=5^{\left(x-1\right)}$  

 $f\left(x\right)=900e^{0.04t}$  

Jeff invested money in his local bank as represented by the equation above. The bank compounds interest continuously, and t represents the time in years. Approximately how long will it take for Jeff’s money to double?

• t = 17.33 years

• t = 18 years

• t = 17 years

• t = 18.33 years

 $y=\frac{3x+7}{x-2}$  

Which of the following is true of the function above?

• The graph of the function has a vertical asymptote at x = -2.

• The graph of the function has a horizontal asymptote at y = 2.

• The function can be rewritten as  $y=\frac{13}{x-2}+3$  .

• It is a linear function.