Hnrs. Alg. 2 Ch. 1

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do you use a bracket or parenthesis when writing +/- infinity?

ALWAYS a parenthesis

absolute value bars are included in what part of PEMDAS?

P: parenthesis

counterexample

a specific case that shows that a statement is false

distance from 0 on the number line (is always POSITIVE)

absolute value

inverse property

additive: 0 ex. a+(-a)=0 multiplicitive: 1 ex. a x 1/a=1

identity property

additive: a+0=a multiplicitive: a x 1=a

real numbers

all numbers

empty set

an equation that is never true (no solution) ex. lxl=-5

conjunctions use the word...

and

less thAND

and/conjunction

compound inequalities contain the words:

and/or

irrational numbers

any numbers that do not end or repeat

What type of equation is this: 3+10x-9=4(x-2)+1

conditional; true for some, but not all values of the variable

What type of equation is this: 3x-5(2x+4)=6x+2-13x

contradiction; ends with a false statement (no solution)

binomial

ex. 3x (squared)+7x

trinomial

ex. 3x (squared)+7x-1

monomial

ex. 3x (squared), 23, -w, 5b, 1/3x

conjunctions must always be in numerical order to be true

ex. {x/-4<x<6} ex. (-4,6)

only one part of a disjunction must be true for the disjunction to be true

ex. {x/x<-1 or x>4} ex. (-∞, -1) U [4, ∞)

integers

-3,-2,-1,0,1,2,3...

what is the coefficient in: -6m

-6

the degree of a constant is...

0

whole numbers

0,1,2,3,4,5...

constant

1, 2, 3, 4...any number

natural numbers

1,2,3,4,5...

you can express your answer of an inequality in 3 ways:

1. graph 2. set-builder notation {x/x>4} 3. interval notation (-4, ∞)

degree of a monomial: 12gh (squared)

3

2-3xy if x=-2 and y=1/3

4

find the rate if distance is 150 miles and time is 2 hrs. (D=RT)

75 mi/hr.

linear

variable to the power of 1 ex. 3x, x, -2y...

quadratic

variable to the power of 2 ex. 3x (squared)

cubic

variable to the power of 3 ex. 2y (cubed)

What type of equation is this: 8-(x+3)=x+5-2x

identity; ends with true statement (all real numbers)

to solve absolute value equations, you need to...

isolate the absolute value, then write two equations

What type of equation is this: 2x+4=5x-2

linear equation

if an absolute value is less than or equal to a negative number, the answer is always...

no solution!!!

rational numbers

numbers that can be written as fractions, including terminating and repeating decimals, and integers

associative property

of addition: (a+b)+c=a+(b+c)

commutative property

of addition: a+b=b+a of multiplication: ab=ba

disjunctions use the word...

or

greatOR than

or/disjunction

when you multiply and inequality by a negative value, you...

reverse the symbol (ex. -2x>8 becomes x<-4)

solve: 16t=4l3t+8l

t=8

union

the graph of a disjunction is the union of the solution set of the 2 inequalities

solve: lx+4l=17

x=13 and x=-21


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