Exponential Growth and Decay Worksheet
1.
t
4
A bacteria culture grows according to the formula: N = 12000 2 , where t is in
hours. How many bacteria are present
(a)
(b)
(c)
(d)
at the beginning of th
Factorials Worksheet
1. Can a factorial be defined for a negative number?
2. Express in factorial form:
a)
b)
c)
d)
6x5x4x3x2x1
8x7x6x5x4x3x2x1
3x2x1
9x8x7x6x5x4x3x2x1
3. Match each expression on the
Organized Counting Worksheet
1. Construct a tree diagram to illustrate the possible contents of a sandwich made from
white or brown bread; ham, chicken or beef; and mustard or mayonnaise. How many
dif
Factorials
Example 1
a) 7 ! =
b) 4 ! =
c) 23! =
d) n ! =
Example 2
Evaluate using a calculator.
a) 4!
=
b) 5!
=
c) 7!
=
Example 3
Evaluate using a calculator.
8!
a) 6!
175!
b) 171!
=
=
Part a) was pos
Rational Exponents
1
an
x
n
a
=na
( )
= n ax = n a
x
A. Express in radical form.
1.
5
1
4
2.
m
3. ( 5x
1
2
1
6 2
)
4. 6
3
4
B. Express in exponent form.
1.
5
x9
2.
5
6t 2
3.
1
4
1
4.
5x 3
3
y2
Simplif
Organized Counting
Example 1
A company makes gloves that are black, blue, burgundy or grey. Each of the colours comes in
small. medium and large size. How many different types of gloves does the compa
Exponential Growth and Decay
1.
An influenza bug has infected 8 students. Every day the number of students infected with
the bug doubles.
(a)
Complete the table of values below.
Number of Days
Number
Review of Exponent Laws
When multiplying powers with the same base, keep the base the same and add the
exponents.
a7 a5 =
43 4 2 =
When dividing powers with the same base, keep the base the same and s
Solving Exponential Equations
Basic Rule: Get the same bases on either side of the equation. Set the exponents equal
and solve.
Example 1 Solve
a) 3x = 27
b)
6561 = 9t
c)
( 4 )
m
= 4096
x
d) ( 5 ) = 1
Venn Diagrams
Given the sets A = cfw_1,2,3 , B= cfw_ and C=cfw_2,4,6,8
Objects in a set are called elements or members
For the set A the elements are _
For the set C the elements are _
use cfw_ to de
Graphs of Exponential Functions
1.
Complete the table of values at the side to graph each of the following
x
4
3
2
1
0
1
2
3
4
y = 2x
y = 3x
y = 5x
2.
Complete the table of values at the side to graph
Skills Review: Algebra and Exponent Laws
1. Simplify each of the following. (Collect like terms)
a)
3c + 8c
b)
7w 4w
c)
2 x + 3x + 4 x
d)
4 y + 3y 5y
e)
7 x 2 + 3x 2
f)
7t 9t
g)
3c 2 2c + 6c 2c 2
h)
4