Flashcards in Final Deck (40)
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1
Describe the rules for order of operation
1. Parentheses and other grouping symbols
2. Exponents
3. Multiply & divide left-right
4. Add & subtract left-right
2
What three things can describe an irrational number?
1.A decimal with 3 dots
2.An imperfect square root
3. Pi
3
What is meant by like terms
A term with the same variables and same exponents
4
Define absolute value
The distance of a number from 0 and it must be positive
5
How does one tell whether an equation has one answer, infinitely many, or no answers
One answer- x=4
Infinitely many answers- 3=3
No answer- 4=3
6
What is a conversion factor
A ratio that is equal to 1 used to convert units of measure ex: 1kg
_______
100g
7
How do we find the percent of increase or decrease
|original - new|
__________________
Original
8
Describe what happens when we divided an inequality by a negative number on each side
The inequality sign flips
9
What two words join compound inequalities
And, or
10
1. In an absolute value inequality, < is what type of sentence
2. > is what type of sentence
1. And
2. Or
11
An "and" sentence shows ______________ and an "or" sentence shows _________
Intersection
Union
12
Explain how y=|x-2|+4 is graphed
The parent absolute value graph is shifted to the right 2 and up 4
13
Tell how to find the domain and range of a relation and how to determine whether it is a function
The domain is all of the x's
The range is all the y's
If the x's do not repeat it's a function
14
What does f(x) g(x) h(x) etc. represent
Y
15
In order for a sequence to be arithmetic, what must it have
It must have a common difference
16
Tell 3 ways to describe or show slope
^y
____. Y2-y1
^x ________
X2-X11
Rate of change
Rise over run
17
What is the slope of a horizontal line
0
18
What is the slope of a vertical line
Undefined
19
What is slope intercept form of a line
Y=mx+b
20
What is point slope form of a line
Y-y1=m(x-x1)
21
What is standard form of a line
Ax+by=c
ABC must be integers
22
I order to have an equation of a line, what two things must one have
1. Slope
2. Point
23
Slopes of parallel lines have __________ slopes, and perpendicular lines have ____________ slopes
Same, negative reciprocal
24
What does the correlation coefficient or "r" tell is
How closely the data fits the line of recognition you want it to be close to one
25
How do the lines look in a system of 2 or more equations with infinitely many answers
In a system with no solution
Infinitely many they overlap
No solution they are parallel
26
How do we know where to color a linear inequality on a coordinate plane
Less then below
Greater than above
27
How do we determine the answer to a system of linear inequalities in the coordinate plane
The intersection of the shaded areas
28
Anything raised to the zero power is equal to_________except 0 raised to the zero power which is undefined
One
29
How can I make a negative exponent a positive exponent
Put it under a one
30
How can I multiply powers of the same base
Leave the bass alone and add exponents
31
What happens to exponents when we raise a power to a power
You multiply them
32
What happens to exponents when I divide
You subtract them
33
1. What equation models exponential growth
2. Exponential decay
Growth
Y=a(1+r)^t
Decay
Y=a(1-r)^t
34
Describe how to multiply two binomials
Use distributive twice
35
Give five statements to decide what method one would use to factor a polynomial
Try common minomial
If two parts try difference of squares
If three parts with understood one try factor pairs
If three parts without understood one try trial and error
If four parts group
36
What are the five steps of trial and error
Multiply first and last terms
Find a factor that adds to the middle term
Substitute the factor for the middle term
Group the first two terms and last two terms and do common monomial
Take what's in parentheses and put what's left outside in other parentheses
37
What is the quadratic formula
X equals negative B plus or minus square root of B squared -4 AC over two a
38
If they discriminate is greater than zero there are ________ solutions
If they discriminate equals zero there is _______solution
If they discriminate is less than zero there are _______solutions
2 real
1 real
2 img.
39
The process of ridding a radical from the denominator of the fraction is called
Rationalization
40
