Free Printable Algebra 2 - 7.1-7.3 Review

1.

Tell whether the function represents exponential growth or exponential decay.
$f\left(x\right)=\frac{1}{3}^x$

a)

Exponential Growth

b)

Exponential Decay

2.

Tell whether the function represents exponential growth or exponential decay.
$y=5^x$

a)

Exponential Growth

b)

Exponential Decay

3.

Tell whether the function represents exponential growth or exponential decay.
$f\left(x\right)=\frac{1}{3}e^x$

a)

Exponential Growth

b)

Exponential Decay

4.

Tell whether the function represents exponential growth or exponential decay.
$f\left(x\right)=6e^{-x}$

a)

Exponential Growth

b)

Exponential Decay

5.

You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded daily.

Remember, the compound interest formula is
$A=P\left(1+\frac{r}{n}\right)^{nt}$

(a)

6.

You deposit $3000 into a bank account that pays 1.25% annual interest, compounded monthly. What is the balance in the account after 4 years?

Remember, the compound interest formula is
$A=P\left(1+\frac{r}{n}\right)^{nt}$

(a)

7.

Simplify the expression.
$e^4\cdot e^{11}$

a)

$e^{44}$

b)

$e^7$

c)

$e^{15}$

d)

$e^{-7}$

8.

Simplify the expression.
$\frac{20e^3}{10e^6}$

a)

$2e^3$

b)

$2e^{-3}$

c)

$\frac{e^3}{2}$

d)

$\frac{2}{e^3}$

9.

Simplify the expression.
$\left(-3e^{5x}\right)^2$

a)

$9e^{10x}$

b)

$9e^{7x}$

c)

$-9e^{10x}$

d)

$-9e^{7x}$

10.

Evaluate the logarithm.
$\log_5625$

a)

4

b)

-4

c)

1/4

d)

3

11.

Evaluate the logarithm.
$\log_{1296}\left(6\right)$

a)

4

b)

1/4

c)

-4

d)

-1/4

12.

Rewrite in exponential form.
$\log_ab=c$

a)

$b^c=a$

b)

$a^c=b$

c)

$a^b=c$

d)

$b^a=c$

13.

Rewrite in logarithmic form.
$7^{-3}=\frac{1}{343}$

a)

$\log_7\left(-3\right)=\frac{1}{343}$

b)

$\log_{\left(\frac{1}{343}\right)}\left(-3\right)=7$

c)

$\log_{-3}\left(\frac{1}{343}=7\right)$

d)

$\log_7\left(\frac{1}{343}\right)=-3$

14.

Rewrite in logarithmic form.
$z^y=x$

a)

$\log_x\left(z\right)=y$

b)

$\log_z\left(x\right)=y$

c)

$\log_x\left(y\right)=z$

d)

$\log_y\left(z\right)=x$

15.

Find the inverse of the function.
$f\left(x\right)=8^x$

a)

$\log_x8=y$

b)

$\log_8y=x$

c)

$x=8^y$

d)

$\log_8x=y$

16.

Find the inverse of the function.
$y=\log_7\left(x-4\right)$

a)

$y=7^{\left(x+4\right)}$

b)

$y=7^x-4$

c)

$y=7^x+4$

d)

$y=7^{\left(x-4\right)}$

17.

Find the inverse of the function.
$y=\log_4\left(x+9\right)$

a)

$y=4^x-9$

b)

$y=4^x+9$

c)

$y=4^{\left(x-9\right)}$

d)

$y=4^{\left(x+9\right)}$

Algebra 2 - 7.1-7.3 Review

Total questions: 17

Worksheet time: 10mins

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