| Term | Definition |
|
variable |
a letter or other symbol that can be replaced by a number (or other object) |
|
sentence |
2 algebraic expressions connected by =, not equal to, <, >, etc. |
|
equation, inequality |
sentence with an equal sign; inequality is sentence with <, >, not equal to etc. |
|
open sentence, solution |
A sentence that contains at least one variable. |
|
whole numbers, integers, real numbers |
see p.12 |
|
equal sets |
Two sets that have the same elements. |
|
domain, solution set |
The values which may be meaningfully substituted for a variable. |
|
interval, endpoints |
The set of numbers between two numbers a and b, possibly including a and b. |
|
open interval, closed interval |
open: an interval that does not include its endpoints; closed: does include endpoints |
|
discrete |
A situation in which some numbers between given numbers do not have meaning. |
|
intersection |
The set of elements in both set A and set B. |
|
union |
The set of elements in either set A or set B. |
|
Venn diagram |
A diagram used to show relationships between sets |
|
empty set, null set, { }, |
A set which has no elements in it. |
|
numerical expression |
expression with numbers and operations and no variables |
|
algebraic expression |
expression with one or more variables |
|
evaluating an expression |
finding the numerical value of an expression |
|
order of operations |
p. 23 |
|
formula |
p. 27 |
|
in terms of, depends on |
lesson 1-5 |
|
square root, radical sign |
If A = s squared, then s is a square root of A |
|
perfect squares |
A number which is the square of a whole number. |
|
Square of the Square Root Property |
For any nonnegative number n, the square root of n times the square root of n = n |
|
pattern, instance |
A general idea for which there are many instances. |
|
counterexample |
An example for which a pattern is false. |
|
leg, hypotenuse |
leg=one of the sides that forms right angle; hyptenuse = longest side |
|
Pythagorean Theorem |
a squared + b squared = c squared. Sum of sides squared = hypotenuse squared |