Final

Question 1

What three things can describe an irrational number?

Answer 1

pi
decimal with three dots
imperfect square root

Question 2

what is meant by “like terms”?

Answer 2

same variable, same exponent

Question 3

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

Answer 3

domain is all x’s
range is all y’s
x’s cannot repeat in a function

Question 4

how does one tell if an equation has one answer, infinitely many answers, or no answer?

Answer 4

one answer —> x=3
infinitely many —-> 0=0
no answer —–> 3=0

Question 5

describe what happens when we divide an inequality by a negative number on each side?

Answer 5

the inequality sign flips

Question 6

describe rules in the order of operations

Answer 6

1. parenthesis or other grouping symbols
2. exponents
3. multiply/ divide left to right
4. add/ subtract left to right

Question 7

an “and” sentence shows _____

an “or” sentence shows ____

Answer 7

intersection

Union

Question 8

explain how y=|x-2|+4 is graphed and what the function represents

Answer 8

to the right 2 and up 4, it is an absolute value

Question 9

define absolute value

Answer 9

distance from zero and is always positive

Question 10

what does f(x), g(x), h(x), etc represent?

Answer 10

y

Question 11

in order to have the equation of a line what two things must one have?

Answer 11

point and slope

Question 12

what is the slope of a vertical line?

Answer 12

undefined

Question 13

what is the slope of a horizontal line

Answer 13

zero

Question 14

what is slope-intercept form of a line?

Answer 14

y=mx+b

Question 15

what is standard form of a line?

Answer 15

ax+by=c

Question 16

what is point-slope form of the equation of a line?

Answer 16

y-y1 = m(x-X1)

Question 17

What two words combine compound inequalities?

Answer 17

and/or

Question 18

tell three ways to describe or show slope

Answer 18

change in x

run

x2-x1

rate of change

Question 19

slopes of parallel lines have _____ slopes.

perpendicular lines have ____ ____ slopes.

Answer 19

same

negative reciprocal

Question 20

what does the correlation coefficient “r” tell us?

Answer 20

how accurate the line of best fit is

Question 21

how do the lines look in a system of two or more equations with infinitely many answers? in a system with no solution?

Answer 21

infinitely many= same line (overlapping)

no solution = paraell

Question 22

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

Answer 22

less than = below

greater than = above

Question 23

how do we determine the answer to the system of linear inequalities in the coordinate plane?

Answer 23

where the shading intersects

Question 24

anything raised to the zero power is equal to _____

Answer 24

one

Question 25

how can I make a negative exponent a positive exponent?

Answer 25

put it under a 1

Question 26

how can I multiply powers with the same base?

Answer 26

leave the base, add the exponents

Question 27

what happens to the exponents when I divide?

Answer 27

subtract

Question 28

what happens with the exponents when I raise a power to a power?

Answer 28

multiply

Question 29

describe how to multiply two binomials

Answer 29

1. first 2. outside 3. inside 4. last FOIL

Question 30

what are the five steps of trial and error?

Answer 30

1. multiply first and last terms 2. find a factor pair of that product equal to the middle term 3. substitute that factor pair for the middle term 4. group 1st and 2nd terms & 3rd and 4th terms and do common monomial 5. take one of what is common in the parentheses and put remaining numbers outside into the other set of parentheses

Question 31

give 5 statements to decide what method one would use to factor a polynomial

Answer 31

1. try common monomial 2. if two perfect squares with a minus in the middle, do difference of squares 3. if 3 terms with understood 1 beside squared, do factor pairs 4. if 3 terms no understood 1, do trial and error 5. if 4 terms, group

Question 32

discriminant less than zero ___ ____ equals zero ____ ____ greater than zero ___ ___

Answer 32

two imaginary one real two real

Question 33

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

Answer 33

rationalizing to denominator

Question 34

to simplify a rational expression, first one must _____, then state the ______, and then ______ common factors

Answer 34

factor restrictions cancel

Question 35

in an absolute value inequality, less than is what? greater than is what?

Answer 35

less than = and | greater than = or