TEKS.MATH.9-12.II.D

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

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TEKS.MATH.9-12.II.D

TEKS.MATH.9-12.VII.C.2

Which of the following equations shows the vertex form of a quadratic?

• x = -b/2a
• x = (-b ±√b² - 4ac)/2a
• y = ax² + bx + c
• y = a(x - h)² + k

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TEKS.MATH.9-12.II.D

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3
• log ₃ 125 = 5
• log ₅ 3 =125
• log₁₂₅ 3 = 5

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TEKS.MATH.9-12.II.D

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables? 

• t: # of tacos
  m: # of glasses of milk
• t: Cost of each taco
  m: Cost of each glass of milk
• t: total cost
  m: # of food items
• t: Cost of each glass of milk
  m: Cost of each taco

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TEKS.MATH.9-12.II.D

TEKS.MATH.9-12.II.C

Write in exponential form:
log 100 = 2

• 10² = 100
• 2¹⁰ = 100
• 100² = 10
• 100¹⁰ = 2

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TEKS.MATH.9-12.II.D

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

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TEKS.MATH.9-12.II.D

Find the equation for the graph shown below

• y = (x - 1)² - 2
• y = (x + 1)² - 2
• y = (x - 2)² + 1
• y = (x + 2)² - 1

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TEKS.MATH.9-12.II.D

The instructions on a bottle of orange squash says to a mix of one part of squash with three parts of water. Choose the correct way of writing this as a ratio.

• 3:1
• 1:3
• 1:4

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TEKS.MATH.9-12.II.D

TEKS.MATH.9-12.I.C

Rewrite:  $11^x=121$  

•  $\log_{11}x=121$  

•  $\log_{121}x=11$  

•  $\log_{11}121=x$  

•  $\log_x11=121$  

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TEKS.MATH.9-12.II.D

Convert to Logarithmic Form

 $u^{-14}=v$  

•  $\log_u\left(-14\right)=v$  

•  $\log_uv=\frac{1}{14}$  

•  $\frac{1}{\log_uv}=14$  

•  $\log_uv=-14$  

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TEKS.MATH.9-12.II.D