Free Printable Foundations of Math 3: Exponential Functions Quiz

1.

State if the graph of the exponential function shows growth or decay.

a)

GROWTH

b)

DECAY

2.

State if the graph of the exponential function shows growth or decay.

a)

DECAY

b)

GROWTH

3.

State if the graph of the exponential function shows growth or decay.

a)

DECAY

b)

GROWTH

c)

LINEAR

d)

EXPONENT

4.

Select the exponential function(s) that show(s) decay.

a)

$f\left(x\right)=2\left(.35\right)^x$

b)

$f\left(x\right)=3\left(4\right)^x$

c)

$f\left(x\right)=4\left(\frac{7}{3}\right)^x$

d)

$f\left(x\right)=9\left(\frac{1}{2}\right)^x$

5.

Select the exponential function(s) that show(s) growth.

a)

$f\left(x\right)=2\left(.35\right)^x$

b)

$f\left(x\right)=3\left(4\right)^x$

c)

$f\left(x\right)=4\left(\frac{7}{3}\right)^x$

d)

$f\left(x\right)=9\left(\frac{1}{2}\right)^x$

6.

Solve the following equation. $2^x=8$

a)

10

b)

3

c)

2

d)

-3

7.

Solve the following equation. $9^{2x}=\frac{1}{81}$

a)

$x=-1$

b)

$x=3$

c)

$x=-\frac{1}{2}$

d)

$x=5$

8.

Solve the following equation. $25^{\left(3x-1\right)}=125^{4x}$

a)

$x=2$

b)

$x=\frac{1}{2}$

c)

$x=.9$

d)

$x=-\frac{1}{3}$

9.

You invested $3,145 into a savings account with a 12% interest rate. Is this growth or decay? What is initial amount? What is the rate (decimal)?

a)

Growth; Initial Amount= $2,000; Rate(decimal)= .012

b)

Decay; Initial Amount= $3,145; Rate(decimal)= .12

c)

Growth; Initial Amount= $3,145; Rate(decimal)= .12

d)

Decay; Initial Amount= $31; Rate(decimal)= .21

10.

The amount of polar bears in Antartica is depreciating by rate of 6% per year. If there are currently 21,000 polar bears in Antartica, about how many polar bears will there be in 10 years? Select the correct equation that represents this problem and identify if it is exponential growth or decay.

a)

$Growth;\ y=2,100\left(1-.06\right)^1=1,500\ polar\ bears$

b)

$Decay;\ y=21,000\left(1-.06\right)^{10}=11,310\ polar\ bears$

c)

$Growth\ \&\ Decay;\ y=21,000\left(1+.06\right)^{10}=37,610\ polar\ bears$

d)

$Growth;\ y=2,100\left(1-.06\right)^x;\ ?\ polar\ bears$

11.

You have an investment of $15,000 compounded quarterly at a rate of 15%. How much will you have after 6 years? Select the correct equation.

a)

$A=150\left(1+\frac{.15}{12}\right)^{\left(12\cdot6\right)}=202.10$

b)

$A=1,500\left(1+\frac{.15}{12}\right)^{\left(12\cdot6\right)}=3668.88$

c)

$A=15,000\left(1+\frac{.15}{4}\right)^{\left(4\cdot6\right)}=\text{}36,291.57$

12.

You have an investment of $650 compounded semi-annually at a rate of 22%. How much will you have after 10 years?

Identify the values of P, r, n, & t.

a)

$P=650;\ \ \ r=.022;\ \ \ n=1;\ \ \ t=10$

b)

$P=650;\ \ \ r=.22;\ \ \ n=2;\ \ \ t=10$

c)

$P=65;\ \ \ r=.22;\ \ \ n=2;\ \ \ t=6$

Foundations of Math 3: Exponential Functions Quiz

Total questions: 12

Worksheet time: 38mins

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