# Coefficient by djy18697

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```									                   Coefficient
In any term, the coefficient is the
numeric factor of the term or the
number that is multiplied by the
variable.
Example: 3x
3 is the coefficient of x
Created by Heather Bergman- Jersey Village High School Houston, Texas
Polygon
A closed plan figure formed by
three or more segments that
intersect only at their endpoints. In
a regular polygon, all angles and all
line segments are congruent.

Created by Heather Bergman- Jersey Village High School Houston, Texas
Parallel Lines
Lines in the same plane
10
8
6

that never intersect.
4
2

-10 -8 -6 -4 -2        2   4   6   8 10

Parallel Lines also have
-2
-4
-6

the same slope.
-8
-10

y = 3x + 2
y = 3x – 6
Created by Heather Bergman- Jersey Village High School Houston, Texas
Complementary
Angles
Two angles are complementary if
their sum in 90.

a  b  90                                                           a
b
Created by Heather Bergman- Jersey Village High School Houston, Texas
Supplementary
Angles
Two angles are supplementary if
their sum is 180.

a  b  180                                                          a   b

Created by Heather Bergman- Jersey Village High School Houston, Texas
45-45-90
Special Right Triangle

x 2
x

Created by Heather Bergman- Jersey Village High School Houston, Texas
x
30-60-90
Special Right Triangle

30
2x
x 3

Created by Heather Bergman- Jersey Village High School Houston, Texas
x
Pythagorean Theorem
2     2     2
a +b =c
Remember these Pythagorean Triples:

3-4-5
c
5-12-13                                                                 a

b
Created by Heather Bergman- Jersey Village High School Houston, Texas
Slope
*tells how steeply a line slants
*rise over run
*rate of change         y = 3x – 2
change in y y
                                                          Slope
* change in x x

Created by Heather Bergman- Jersey Village High School Houston, Texas
Perpendicular Lines
Two lines that intersect to form
right angles.
y= ½ x + 3                                                                                10

y = -2x – 2
8
6
4
2

-10 -8 -6 -4 -2        2   4   6   8 10

Notice the relationship of                                                                -2
-4
their slopes. The product of                                                              -6

their slopes is -1.                                                                       -8
-10

Created by Heather Bergman- Jersey Village High School Houston, Texas
Mean
The average of a set of values.

abcd e
5
Created by Heather Bergman- Jersey Village High School Houston, Texas
Median
The middle value of a set of values
when all the values are arranged in
order.

13, 17, 23, 25, 27
The median is 23.
Created by Heather Bergman- Jersey Village High School Houston, Texas
Mode
The values that occurs most often.
Some sets of data have more than
one mode, and some have no mode.

12, 24, 34, 12, 24, 67
12 and 24 are the modes
Created by Heather Bergman- Jersey Village High School Houston, Texas
Percent
This word literally means “per one
hundred” and is represented by the
symbol %.

50% = ½ = .50
Created by Heather Bergman- Jersey Village High School Houston, Texas
Linear Parent Function
y=x
10
8
6
4
2

-10 -8 -6 -4 -2               2   4   6   8 10
-2
-4
-6
-8
-10
Created by Heather Bergman- Jersey Village High School Houston, Texas
Function
2
y=x
10
8
6
4
2

-10 -8 -6 -4 -2        2   4   6   8 10
-2
-4
-6
-8

Created by Heather Bergman- Jersey Village High School Houston, Texas    -10
Exponential Parent
Function
x
y=b
10                                                                  10
8                                                                  8
6                                                                  6
4                                                                  4
2                                                                  2

-10 -8 -6 -4 -2               2    4    6   8 10                        -10 -8 -6 -4 -2        2   4   6   8 10
-2                                                                 -2
-4                                                                 -4
-6                                                                 -6
-8                                                                 -8
-10                                                              -10

Exponential Growth                                                       Exponential Decay
b>1                                                                    0<b<1
Created by Heather Bergman- Jersey Village High School Houston, Texas
Natural
Numbers
The numbers we use for counting.

1, 2, 3, 4, 5, 6, 7 . . .
Created by Heather Bergman- Jersey Village High School Houston, Texas
Rational Numbers
Any number that can be expressed
as the ratio of two integers in the
a
form b where b 0.


2
Example: 3
Created by Heather Bergman- Jersey Village High School Houston, Texas
Constant
A term with no variables.

2
2x + 3x + 5 = y

The constant is 5.

Created by Heather Bergman- Jersey Village High School Houston, Texas
Integer
The numbers in the set

{. . . . –4, -3, -2, -1, 0, 1, 2, 3, 4. . . .}

Created by Heather Bergman- Jersey Village High School Houston, Texas
Exponents
Product Property

a b
x *x  x       a                                             b

Created by Heather Bergman- Jersey Village High School Houston, Texas
Exponents
Quotient Property
a
x      a b
b
x
x
Created by Heather Bergman- Jersey Village High School Houston, Texas
Exponents
Power Property

x 
b
a
x   a*b

Created by Heather Bergman- Jersey Village High School Houston, Texas
Exponents
Negative Exponent
b        b
m  n
   
n  m
Created by Heather Bergman- Jersey Village High School Houston, Texas
Exponents
Zero Power

b 1                      0
Created by Heather Bergman- Jersey Village High School Houston, Texas
Domain of a Function
The set of input values for which
the function is defined (x-values).
10
9
8
7
6
5
4
D0 x6
3
2
1

1        2       3        4       5        6       7

Created by Heather Bergman- Jersey Village High School Houston, Texas
Range of a Function
The set of output values for the
function (y values).
10
9
8

R0 y9
7
6
5
4
3
2
1

1        2       3        4       5        6       7

Created by Heather Bergman- Jersey Village High School Houston, Texas
Coordinate Plane                                                     y-axis
10

Origin                                                                  8
6
II               4           I
2
x-axis
-10 -8 -6 -4 -2                        2   4       6   8 10
-2
-4
III              -6       IV
-8
-10
Created by Heather Bergman- Jersey Village High School Houston, Texas
Range
The range of a data set is the
difference between the maximum
and minimum values.

4, 10, 2, 5, 7

Range = 10 - 2 = 8
Created by Heather Bergman- Jersey Village High School Houston, Texas
Polynomial
A term or a sum of terms where
each term is the product of a real-
number coefficient and a variable
with a whole-number coefficient.

3               2
2x + 5x – 3x + 4
Created by Heather Bergman- Jersey Village High School Houston, Texas
Similar Figures
Two figures are similar when their
corresponding angles are congruent
and their corresponding sides are
proportional.
32

74

Created by Heather Bergman- Jersey Village High School Houston, Texas
Rotation
A rotation turns a figure through a
given angle about a point called its
center.                                                                  10
8
6

Example:                                                      4
2

Rotate the given figure                                         -10 -8 -6 -4 -2        2   4   6   8 10
-2
-4
the origin.                                                                 -6
-8

Created by Heather Bergman- Jersey Village High School Houston, Texas
-10
Variable
A letter used to stand for a
quantity that changes in value.

x is the variable in 9 – x
Created by Heather Bergman- Jersey Village High School Houston, Texas
Function
A special relation in which each x
value (domain) is paired with only
one y value (range).

Created by Heather Bergman- Jersey Village High School Houston, Texas
Direct Variation
A linear function that can be
expressed in the form y = kx, where
k  0.

Created by Heather Bergman- Jersey Village High School Houston, Texas
Scientific Notation
A number expressed in the form
n
a x 10 , where n is an integer and
1  a  10 .

4
3.4 x 10 = 34,000
-4
3.4 x 10 = 0.00034
Created by Heather Bergman- Jersey Village High School Houston, Texas
Function Notation
To write a rule in function notation
you use the symbol f(x) in
place of y.

f(x) = 3x – 8 is in function notation.

Created by Heather Bergman- Jersey Village High School Houston, Texas
Relation
A set of ordered pairs that shows
how two variables are related.

{(2,3), (7,11), (-3, 6), (7,-5)}

Created by Heather Bergman- Jersey Village High School Houston, Texas
Independent Variable
The independent variable is the
input variable or x-variable
(abscissa) and is listed first in the
ordered pair.
“The amount the grass grows depends on the
amount of rain.”
Independent variable-amount of rain
Created by Heather Bergman- Jersey Village High School Houston, Texas
Dependent Variable
The dependent variable is the
output variable or y-variable
(ordinate) and is listed second in the
ordered pair.
“The amount the grass grows depends on the
amount of rain.”
Dependent variable-amount grass grows
Created by Heather Bergman- Jersey Village High School Houston, Texas
Mapping
A diagram that uses arrows and
numbers in “bubbles” to show the
relationship between the domain and
x    y
range. 2          -1
2                    -1
4                     6                     TABLE                        5
3
3                     5                                                  6
3                    10                                              4
MAPPING
10
Created by Heather Bergman- Jersey Village High School Houston, Texas
Horizontal Line

Equation:                                                      y=a
Slope :                                                        0
y-Intercept :                                                  a
x-Intercept :                                                  none

Created by Heather Bergman- Jersey Village High School Houston, Texas
Vertical Line

Equation:     x=a
Slope : Undefined
y-Intercept : none
x-Intercept: a

Created by Heather Bergman- Jersey Village High School Houston, Texas
Y-Intercept
The y-coordinate of the point where a
graph crosses the y-axis.

The y-intercept
is -5.

Created by Heather Bergman- Jersey Village High School Houston, Texas
X-Intercept
The x-coordinate of the point where a
graph crosses the x-axis.

The x-intercept
is -2.

Created by Heather Bergman- Jersey Village High School Houston, Texas
Ratio
A comparison of two numbers by
division.

Examples:                                             3:7
3
5
Slope is an example of a ratio.
Created by Heather Bergman- Jersey Village High School Houston, Texas

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