Unit 1 Assignment 1
1. Identify the base and the exponent
9
5x
For this type of problem 5 is the coefficient, x is the base and 9 is the exponent
2. Multiply and simplify
7
p p
7
Remember you have to add the exponents 7+7 = 14
14
p
7
3
6
3
3. ( a b (a b )
I choose to do my discussions on probability of high-speed collisions among young drivers
between the ages of 16 and 20 at certain speeds.
Speed
Percentage
60 MPH
1%
60
65 MPH
2%
50
70 MPH
4%
40
72 MPH
11%
30
80 MPH
32%
85 MPH
56%
Graph
20
10
0
71
72
73
7
1
Learn By Doing Practice Makes Perfect
Real Numbers
Materials Needed: Notebook, pencil, scientific calculator
The Real Numbers
Read the section and complete the Examples in your notebook. What did you
learn? What concepts did you have problems with?
I.
R
Graphing Linear Equations
Part I: Methods of Graphing
Method 1: If you are given a point (x, y), then you can substitute the appropriate values
into the equation. The left side must equal the right side if the point lies on the given line
x + y = 5.
Solut
1
SlopesandEquationsofaLine
I.
Slope of a line passing through a pair of points.
Examples:
Note: the slope, m, of a line is defined by m =
1.
y2 y1
, where x2 x1
x2 x1
(2, 4) x1 =2 y1 = 4
y2 = 7
(5, 7) x2 = 5
Now substitute values into the slope formula a
MTH 131 College Algebra
1
Systems of Equations
One method that can be used to solve a system is the Elimination
(addition) Method. In order to use this method, make sure that the x
terms are lined up, the y terms are lined up and the constant terms are
li
1
Exponents
Variables are the unknown, such as x, y, z, n, k, etc.
Warm up: Rewrite the following using exponents.
1.
x x x x
2.
3 2 2
33
3.
k j j j
4.
4 4 x x
33
Answers:
1. x 4
2. 33 22
3. k j 3
4. 42 2 x 2
3
Lets distinguish between the base and the ex
1
Algebraic Expressions
<Def> An algebraic expression is an expression that contains numbers and/ letters.
Example: 2 x 2 y + 5 x 3 4 yx 2 + 7
Warm- up Exercise (Refer to the expression above to answer the following questions)
1. What are the terms in the
Unit 5 Assignment
1. Determine whether the given order pair is a solution of the system of equations. Remember to
use alphabetical ordered variables.
(7, 4); 8x y = 60
9x 8y = 31
Given (7, 4) so x =7 and y = 4
Lets look at the first equation 8x y = 60 rep
Unit 4 Assgingnment 2
1. Solve
5 y + 8=8
(
Square both sides
5 y + 8 =8
5y + 8 = 64
Subtract 8 from both sides
5y = 56 Divide both sides by 5
56
5
Y=
2. Solve
5 x +2=13
5 x=11
Subtract 2 from both sides
Square both sides
( 5 x )=11
5 x=121
x=
Divide b
Unit 4 Assignment 1
1. Find all the square roots of 81
81
2.
3. -
= 9, -9 (make sure to put the positive and negative)
289
= 17
16
=-4
4. Simplify the radical
64
9
3 27
5.
64 = 8
9 3
=
= -3
6. Identify the radicand and the index
p 3+ 8
8
3
p +8
Radica
Unit 3 Assignment 2
Rules for logarithms
log x ( MN ) =log x M +log x N
log x ( M / N )=log x M log x N
log M ( x )=2 log M x
log x ( x )=2
log e ( e18 ) =18
1. Express as a sum of logarithms.
log 3 ( 3225 ) =log 3 32+log 3 25
2. Express as a single logar
Unit 2 Assignment 2
1. Find any real numbers for which the rational expression is undefined.
x3
x +8
The denominator can not equal 0
x+ 8 0
x 8
subtract 8 from both sides
2. List all numbers for which each rational expression is undefined.
w1
5 w5
The den
Unit 3 Assignment 1
1. Graph the equation on paper, and then choose the correct graph
y = f(x) =
x
2
X
y=2
x
(x, y)
0
20=1
(0,1)
1
2 =2
(1,2)
1
2
2
2
=4
(2, 4)
I chose values for x and replace them in equation to find y. Now that I have ordered pairs, I c
Unit 1 Assignment 2
1.
For the polynomial, -8
x 4 +8 x 39 x 2+2 x4, complete the following table.
Term
-8 x
8
4
x3
-9 x
2
Coefficient
Degree of the term
-8
4
8
3
-9
2
Degree of
Polynomial
4
2x
2
1
-4
-4
0
Note the coefficient is the number in front of the
Unit 2 Assignment 1
1
Factor. Check by multiplying
2x + 2x 18 Looking at the coefficients all are factors of 2 so 2 is the GCF(greatest common
factor)
2(x + x 9)
2
Factor
12s + 3s
3s(4s + 1)
The GCF is 3s
3
Factor. Remember to use the largest common facto
My topic is the probability of high-speed collisions among young drivers between the ages of 16
and 20 at certain speeds.
Graph
60
50
40
30
20
10
0
71
72
73
74
75
76
77
78
79
80
81
My third point seems to be right one track because by the data the faster