# Algebra Vocab chapter 10 & 11

### 25 terms by bmwong

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### distributive property

in an equation such as: 3(x+2) the 3 is distributed to each term of the sum (x+2).
3(x+2)=3(x) + 3(2)

### like terms

terms in an expression that have the same variable raised to the same power

### x intercept

the x coordinate of a point where a graph crosses the x-axis

### parabola

every quadratic function has a U-shaped graph
U-SHAPED GRAPH

way to solve any quadratic equation
the solutions of the quadratic equation ax2 +bx +c = 0 is x equals the opposite of b, plus or minus the square root of b squared(b2) minus 4ac, all divided by 2a

### vertical motion models

object is dropped: h= -16t2 + 2 (H equal negative 16t squared plus 2)
object is thrown: h= -16t2 + vt + S (H equals negative 16t squared + vt +s)
H= height (feet)
S= initial height (feet)
T= time in motion (seconds)
V= initial velocity (feet per second)

### discriminant

b2-4ac( B squared minus 4ac)

### polynomial

(an expression which is the sum of terms of the form axk where k is a non-negative integer)
a mathematical expression that is the sum of a number of terms
written in descending order

### FOIL method

a method used to multiply two binomials using the distributive property (multiple the First, Outer, Inner, Last terms

### Factored form

written as the product of two or more linear factors
(2x-3)(x+5)=0

### zero product property

if the product of two factors is zero, then at least one of the factors must be zero. Ex: If ab = 0, then a = 0 or b = 0.

to write it as the product of two linear expressions

### factor completely

** 9x2-15=3(3x2 - 5)**
9x square - 15 equal 3(3x square - 5)
A factorable polynomial with integer coefficients is factored completely if it is written as a product of unfactorable polynomials with integer coefficients.

### equivalent equations

x+3=5 and x=2 are equal
equations that have the same solution

### transformations

subtract number from both sides
simplify one or both sides
interchange the sides ( x on left number on right)

### direct variation

y=kx
two quantities that vary directly

### proportion

an equation that states that two rations are equal

### extraneous solution

a solution that does not satisfy the original equation

### inverse variation

the variables x and y vary inversely if for a constant k
xy=k or y=k/x

### rational number

an algebraic expression that can be written as two integers

### rational expression

an algebraic expression written as a ratio

### geometric probability

probability that is established by using geometric properties
(probability that object is tossed into a certain region)

### rational equation

an equation containing one or more rational expressions

### rational function

function of the form f(x) = polynomial/polynomial

### hyperbola

an open curve formed by a plane that cuts the base of a right circular cone
center is h and k

Example: