Algebra 2 Review mixed standards

Determine the roots of x² - 49 = 0

• 7, -7

• only 7

The x-intercepts of a quadratic function are x = -1 and x = 5. Which could the be the equation of the quadratic function?

Which of the expressions below is NOT factorable?

Rewrite as an exponential: log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Rewrite as an exponential:  $\log_7\left(\frac{1}{49}\right)=-2$  

•  $7^{\frac{1}{49}}=-2$  

•  $\left(\frac{1}{49}\right)^{-2}=7$  

•  $7^{-2}=\frac{1}{49}$  

•  $\left(-2\right)^7=\frac{1}{49}$  

Rewrite as a log: 7⁰ = 1

• log₇(1) = 0

• log₀(7) = 1

• log₇(0) = 1

• log₁(0) = 7

Find x: log_x(25) = 2

• x = 1

• x = 12.5

• No Solution

• x = 5

Find the exponential equation that represents the table.

• y = 2(3)^x

• y = 3 + (3)^x

• y = 3(2)^x

• y = 6(2)^x

A chemical substance has a half-life of 3 days. If you start with 90 grams of the substance, how much will be left after 13 days? Write an equation to help you find your answer.

• about 4.487 grams

• about 0.011 grams

• about 0.9924 grams

• about 4.221 grams