Final

Question 1

Describe the rules for order of operation

Answer 1

1. Parentheses and other grouping symbols
2. Exponents
3. Multiply & divide left-right
4. Add & subtract left-right

Question 2

What three things can describe an irrational number?

Answer 2

1. A decimal with 3 dots
2. An imperfect square root
3. Pi

Question 3

What is meant by like terms

Answer 3

A term with the same variables and same exponents

Question 4

Define absolute value

Answer 4

The distance of a number from 0 and it must be positive

Question 5

How does one tell whether an equation has one answer, infinitely many, or no answers

Answer 5

One answer- x=4
Infinitely many answers- 3=3
No answer- 4=3

Question 6

What is a conversion factor

Answer 6

A ratio that is equal to 1 used to convert units of measure ex: 1kg
_______
100g

Question 7

How do we find the percent of increase or decrease

Answer 7

|original - new|
__________________
Original

Question 8

Describe what happens when we divided an inequality by a negative number on each side

Answer 8

The inequality sign flips

Question 9

What two words join compound inequalities

Answer 9

And, or

Question 10

1. In an absolute value inequality, < is what type of sentence
2. > is what type of sentence

Answer 10

1. And

2. Or

Question 11

An “and” sentence shows ______________ and an “or” sentence shows _________

Answer 11

Intersection

Union

Question 12

Explain how y=|x-2|+4 is graphed

Answer 12

The parent absolute value graph is shifted to the right 2 and up 4

Question 13

Tell how to find the domain and range of a relation and how to determine whether it is a function

Answer 13

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

Question 14

What does f(x) g(x) h(x) etc. represent

Answer 14

Y

Question 15

In order for a sequence to be arithmetic, what must it have

Answer 15

It must have a common difference

Question 16

Tell 3 ways to describe or show slope

Answer 16

^y
____. Y2-y1
^x ________
X2-X11

Rate of change

Rise over run

Question 17

What is the slope of a horizontal line

Answer 17

0

Question 18

What is the slope of a vertical line

Answer 18

Undefined

Question 19

What is slope intercept form of a line

Answer 19

Y=mx+b

Question 20

What is point slope form of a line

Answer 20

Y-y1=m(x-x1)

Question 21

What is standard form of a line

Answer 21

Ax+by=c

ABC must be integers

Question 22

I order to have an equation of a line, what two things must one have

Answer 22

1. Slope

2. Point

Question 23

Slopes of parallel lines have __________ slopes, and perpendicular lines have ____________ slopes

Answer 23

Same, negative reciprocal

Question 24

What does the correlation coefficient or “r” tell is

Answer 24

How closely the data fits the line of recognition you want it to be close to one

Question 25

How do the lines look in a system of 2 or more equations with infinitely many answers In a system with no solution

Answer 25

Infinitely many they overlap | No solution they are parallel

Question 26

How do we know where to color a linear inequality on a coordinate plane

Answer 26

Less then below | Greater than above

Question 27

How do we determine the answer to a system of linear inequalities in the coordinate plane

Answer 27

The intersection of the shaded areas

Question 28

Anything raised to the zero power is equal to_________except 0 raised to the zero power which is undefined

Answer 28

One

Question 29

How can I make a negative exponent a positive exponent

Answer 29

Put it under a one

Question 30

How can I multiply powers of the same base

Answer 30

Leave the bass alone and add exponents

Question 31

What happens to exponents when we raise a power to a power

Answer 31

You multiply them

Question 32

What happens to exponents when I divide

Answer 32

You subtract them

Question 33

1. What equation models exponential growth | 2. Exponential decay

Answer 33

Growth Y=a(1+r)^t Decay Y=a(1-r)^t

Question 34

Describe how to multiply two binomials

Answer 34

Use distributive twice

Question 35

Give five statements to decide what method one would use to factor a polynomial

Answer 35

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

Question 36

What are the five steps of trial and error

Answer 36

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

Question 37

What is the quadratic formula

Answer 37

X equals negative B plus or minus square root of B squared -4 AC over two a

Question 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

Answer 38

2 real 1 real 2 img.

Question 39

The process of ridding a radical from the denominator of the fraction is called

Answer 39

Rationalization

Question 40

To simplify a rational expression first one must_____ then state the_____ and then _____common factors

Answer 40

Factor completely Restrictions Cancel/ slash