Free Printable Algebra 2 - Quiz #7 (Spring 2022)

1.

$2500 is invested in a savings account that earns 3.5% annual interest. Find the amount in the account after 6 years if interest is calculated monthly. Use the formula: $A=P\left(1+\frac{r}{n}\right)^{nt}$

a)

$3083.25

b)

$19811.22

c)

$583.25

2.

$2500 is invested in a savings account that earns 3.5% annual interest. Find the amount in the account after 6 years if interest is calculated continuously. Use the formula: $A=Pe^{rt}$

a)

$3084.20

b)

$20415.42

c)

$3.30 E 12

3.

You buy a squishmallow for $29.99. If the value depreciates by 3% per year, what will the squishmallow be worth in 4 years?

a)

$26.55

b)

$2.43 E -5

c)

$33.75

d)

4.

Find the inverse of: $y=\log_8\left(x-5\right)+7$

a)

$y=8^{\left(x-5\right)}+7$

b)

$y=8^{\left(x-7\right)}+5$

c)

$y=8^{\left(x+7\right)}-5$

5.

What is the asymptote line for the exponential function: $y=3^{\left(x-1\right)}+2$

a)

$y=2$

b)

$y=0$

c)

$x=1$

d)

6.

What is the asymptote line for the logarithmic function: $y=\log_3\left(x+3\right)-5$

a)

$y=-5$

b)

$x=3$

c)

$x=-3$

7.

Write the following equation in exponential form: $\log_636=2$

a)

$2^6=36$

b)

$6^2=36$

c)

$6^{36}=2$

d)

8.

Evaluate: $\log_8128$

a)

$16$

b)

$\frac{7}{3}$

c)

$2.15$

9.

Describe the transformations from the parent function $y=e^x$ to $y=-e^{\left(x+2\right)}-1$ .

a)

Reflection in the x-axis, left 2 units, up 1 unit.

b)

Flip across the x-axis, right 2 units, down 1 unit.

c)

Reflection in the x-axis, left 2 units, down 1 unit.

10.

Write the equation of the logarithmic function $y=\log_5x$ after the following transformations: Vertical stretch by a factor of 4, right 2 units and down 7 units.

a)

$y=4\log_5\left(x-2\right)-7$

b)

$y=4\log_5\left(x+2\right)-7$

c)

$y=4\log_5\left(x-2\right)^{-7}$

11.

When pushing the "LOG" button on your calculator, the calculator is using which number for the base?

a)

0

b)

1

c)

10

d)

12.

The inverse of $y=\ln\ x$ is

a)

$y=\log\ x$

b)

$y=e^x$

13.

State the range of the function: $y=\log_2\left(x+6\right)-8$

a)

All Real #'s

b)

$x>-6$

c)

$y>-8$

14.

Expand the logarithm:

$\ln\ 3\ x^5\ y^8$

a)

$\ln\ 3\ +\ 5\ \ln\ x\ +\ 8\ \ln\ y$

b)

$5\ \ln\ 3\ +\ \ln\ x\ +\ 8\ \ln\ y$

c)

$\ln\ 3\ +\ 8\ \ln\ x\ +\ 5\ \ln\ y$

15.

Condense the logarithm:

$2\ \log\ 3\ +\ \frac{1}{2}\log\ x\ -\ \ 7\ \log\ y$

a)

$\log\ \frac{9\ \sqrt[]{x}}{y^7}$

b)

$\log\ \frac{8\ \sqrt[\ ]{x}}{y^7}$

c)

$\log\ \frac{9x^2}{y^7}$

16.

What do you like the most about having our class in "regular" school? (You can choose more than 1)

a)

Not being able to use Photo Math on everything.

b)

Our beautiful classroom and all the wonderful drawings from Coloring Day.

c)

When Tarver loses focus and tells stories.

d)

Stealing Tarver's calculators.

e)

Learning, laughing and sometimes crying with your friends and classmates.

Algebra 2 - Quiz #7 (Spring 2022)

Total questions: 16

Worksheet time: 48mins

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