A | B |
inequality symbols | < and > are examples of these |
compound inequalities | inequalities with two possible solutions, joined by either and OR or |
conjunction | -2<x≤6 is an example |
disjunction | x<-2 or x>6 is an example |
coordinate plane | includes the x-axis, y-axis, origin, and four quadrants |
x-axis | horizontal axis |
y-axis | vertical axis |
origin | (0,0) |
quadrant I | x coordinate and y coordinate are both positive |
quadrant II | x coordinate is - and y coordinate is + |
quadrant III | x coordinate and y coordinate are both negative |
quadrant IV | x coordinate is + and y coordinate is - |
quadrant | one of the four regions of the coordinate plane |
ordered pair | designate a specific point on the coordinate plane |
function | passes the "vertical line" test |
slope | + or - slant or steepness of a line |
formula for calculating slope | (y2-y1)/(x2-x1) |
variable | letter standing in for an unknown quantity |
expression | terms connected with an operation, such as 2x-3 |
equation | mathematical sentence connected with = symbol |
natural numbers | counting numbers, such as 1, 2, 3,... |
whole numbers | counting numbers, plus 0 (0, 1, 2, 3,...) |
integers | ...-2, -1, 0, 1, 2,... |
rational numbers | number that can be expressed as a fraction (e.g. 2/7 or 8.222...) |
irrational numbers | number that cannot be expressed as a fraction (e.g. pi or square root of 10) |
real numbers | set of rational and irrational numbers |
absolute value | distance from 0; can never be negative |
additive inverse | The __ of 4 is -4. |
multiplicative inverse | The __ of 1/5 is 5. |
reciprocal | Another word for multiplicative inverse |
terms | elements of an expression; 3x + 5 has two __ |
constant | a term that has no variable, such as 5 in 3x + 5 |
coefficient | 6 is the __ of the term 6x |
like terms | In 3x + 4 -x, -x and 3x are __. |
commutative property | 3+7=7+3 |
associative property | 2+(x+5)=(2+x)+5 |
additive identity | Any number plus 0 equals the number. |
multiplicative identity | Any non-zero number times 1 equals the number. |
symmetric property | If a=b, then b=a. |
distributive property | 3(x-2)=3(x)+3(-2) |
multiplicative property of 0 | Any number times 0 equals 0. |
multiplicative property of -1 | -1 times n equals -n |
solution | value (or values) that make an equation or inequality true |
equivalent expressions | expressions with the same solution(s) |
inverse operations | addition undoes subtraction; division undoes multiplication |
reflexive property | 8 = 8 |
y = mx + b | slope-intercept form |
Ax + By = C | standard form |
transitive | If x=y and y=z then x=z. |
substitution | plug in one equivalent value for another |
vertical line test | If a vertical line crosses a graph in more than one place, the graph does NOT represent a function |
x-intercept | point at which a graph hits the x-axis |
y-intercept | point at which a graph hits the y axis |