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Algebra 1 Honors > Final > Flashcards

Final Flashcards

1
Q

What three things can describe an irrational number?

A

pi
decimal with three dots
imperfect square root

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2
Q

what is meant by “like terms”?

A

same variable, same exponent

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3
Q

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

A

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

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4
Q

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

A

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

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5
Q

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

A

the inequality sign flips

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6
Q

describe rules in the order of operations

A
  1. parenthesis or other grouping symbols
  2. exponents
  3. multiply/ divide left to right
  4. add/ subtract left to right
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7
Q

an “and” sentence shows _____

an “or” sentence shows ____

A

intersection

Union

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8
Q

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

A

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

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9
Q

define absolute value

A

distance from zero and is always positive

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10
Q

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

A

y

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11
Q

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

A

point and slope

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12
Q

what is the slope of a vertical line?

A

undefined

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13
Q

what is the slope of a horizontal line

A

zero

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14
Q

what is slope-intercept form of a line?

A

y=mx+b

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15
Q

what is standard form of a line?

A

ax+by=c

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16
Q

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

A

y-y1 = m(x-X1)

17
Q

What two words combine compound inequalities?

A

and/or

18
Q

tell three ways to describe or show slope

A

change in x

run

x2-x1

rate of change

19
Q

slopes of parallel lines have _____ slopes.

perpendicular lines have ____ ____ slopes.

A

same

negative reciprocal

20
Q

what does the correlation coefficient “r” tell us?

A

how accurate the line of best fit is

21
Q

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

A

infinitely many= same line (overlapping)

no solution = paraell

22
Q

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

A

less than = below

greater than = above

23
Q

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

A

where the shading intersects

24
Q

anything raised to the zero power is equal to _____

A

one

25
Q

how can I make a negative exponent a positive exponent?

A

put it under a 1

26
Q

how can I multiply powers with the same base?

A

leave the base, add the exponents

27
Q

what happens to the exponents when I divide?

A

subtract

28
Q

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

A

multiply

29
Q

describe how to multiply two binomials

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

FOIL

30
Q

what are the five steps of trial and error?

A
  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
31
Q

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

A
  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
32
Q

discriminant less than zero ___ ____

equals zero ____ ____

greater than zero ___ ___

A

two imaginary
one real
two real

33
Q

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

A

rationalizing to denominator

34
Q

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

A

factor
restrictions
cancel

35
Q

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

A

less than = and

greater than = or

Algebra 1 Honors (1 decks)

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