Algebra 1 Flashcards

Symbols that mark off numbers in an expression from the rest of the problem

A symbol of inclusion, the name for the fraction bar

Addition, subtraction, multiplication, and division

A collection of #'s operation signs, and inclusion symbols that stand for a number

To find the number for which an expression stands

A letter that represents a number

To replace a variable with a constant

numbers that are added to each other or subtracted from each other

Numbers that are multiplied together

A region in a plane enclosed by a boundary

Positive and negative numbers

1. /a/ is the distance from the graph of a to the graph of the variable. 2. /a/ {-a if a < 0, a if a> or = 0 3. /a/ The value of a or -a

When you add 0 to any number, then you will get 0.

When you multiply any number by 1, then you will get a number identical to the original number.

In the expression X^y, X is the base, y is the exponent, and X^y is the power.

e = 'about' 2.178281828459045...

Pi = 'about' 3.14...

Perentheses, exponents, multiply, divide, add, subtract

1. Isolate the term with the variable 2. Isolate the variable

The axiom where changing the order of a # does not change the result

Associativity involves the grouping of certain numbers

C=2 times Pi times r or Pi times D

A=Pi times r^2 u^2

Any number, x, has an opposite, -x for which x+(-x)=0

Any number except 0, x, has a reciprocal, 1/x, for which x times 1/x=1

-1 times a number equals the opposite of that number. For example, -1 times x=-x

0 times a number equals 0. For example, x times 0=0

If the 1st number = the 2nd number, and the 2nd number equals the third number, then the 1st number equals the 3rd number. If x=y, y=z, x=z

The two numbers in an equation can be reversed without affecting their equality. That is if x=y, then y=x

A number equals itself. That is, x=x

If x=y, then x+z = y+z

If x=y, then xz=yz

An identity is an equation that is true for all variables

A conditional equation is one that is true for some values of the variable but not true for other values of the variable

An if _____, then ______ statement. the statement following "then" is the hypothesis, and the statement followed by "then" is the conclusion

A polyomial is an expression that has no operations other than addition, subtraction, or multiplication for or by the variable.

The degree of a polynomial in two or more variables is the degree of it's (polynomial) non-zero term or highest degree.

monomial, one term; binomial, two terms; trinomial, three terms

monomial, one term; binomial, two terms; trinomial, three terms

multiply the first term of the first number in the first set times the second of the second, same for the second of the first

A polynomial thats final term's factors are only 1 and itself. Example: 3x^2+5x+1

Quadratic term: (7x^2)+6x+5 Linear term 7x^2(+6x)+5 Constant term 7x^2+6x(+5)

Binomials that are exactly the same, except for the sign between the terms. For example: (3x+1)(3x-1)

Square first term, twice product of the two terms, square the last term.

The set of real numbers is closed under multiplication. That is, if x and y are real numbers, then xy is a unique real number

A rational number is a nuymber that cannot be written as a ration of two integers. In decimal for, it is a repeating, terminating decimal.

An irrational number is a number that can be written as a ratio of two integers.

The square rot of a number n is a number that gives n for the answer when it's squared. That is the s.r. n is the non - 3 for which s.r. n^2

The set of numbers is closed under addition. That is, if x and y are any real numbers, then x+y is a unique real number

In the expression p square root r, the square root sign is the radical

In the expression p square root r, the r is the radicand

In the expression p square root r, the p is the index