# Algebra flashcards, diagrams and study guides

Discover popular Algebra study sets on Quizlet. Study Algebra topics like Pre Algebra, Group Theory and Number Theory. Learn what you need to get good grades in Algebra classes. Memorize important Algebra terms, definitions, equations and concepts. Prepare for Algebra homework and exams with free online flashcards, diagrams, study guides and practice tests.

## Top 20 sets of about 370,820

#### 7th Grade Math Vocabulary

a number by which another number is to be divided.

a number to be divided by another number.

a quantity by which amounts differ; the remainder left after subtraction of one value from another.

#### Group theory midterm

c: they focus on interpersonal relations among the members

d: it deals with treatment of psychotic discorders

d: prevent an array of educational deficits and psychological problems

#### Linear Algebra True/False

TRUE: The rows become the columns of AT so this makes sense.

FALSE: The nonzero rows of B form a basis. The first three rows of A may be linear dependent

TRUE by the Rank Theorem. Also since dimension of row space = number of nonzero rows in echelon form = number pivot columns = dimension of column space

#### Essential Vocabulary: Congruent Transformations

The plane determined by the perpendicular intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis, at a point called the origin.

The horizontal number line located on the coordinate plane.

The vertical number line located on the coordinate plane.

#### Chapter 3- Expressions and Equations

An expression that contains numbers, operations, and one or more symbols.

The numerical factor of a term that contains a variable.

A term without a variable.

#### Linear Algebra Chapter 2-3.2 True/False

True

False

True

#### Quadratic Functions

y = a (x-h)^2 + k

y = ax^2 +bx +c

the highest or lowest point on a parabola; (h, k)

#### Math Test 3

The graph of which of the following basic functions is increasing on the interval (-∞,∞)? A. f(x)=1/x B. f(x)=|x| C. f(x)=x^2 D. f(x)=∛x

Identify the collection of three functions whose graphs are all symmetric about the origin. A. y=1/x, y=x, and y∛x B. y=x^3, y=3, and y=1/x C. y=|x|, y=1/x, and y=x^3 D. y=x^3, y=x^2, and y=√x

Identify the collection of three functions that are all even. A. y=x, y=x^2, and y=y=1/x, y=x, and y=√x B. y=-3, y=x^2, and y=|x| C. y=|x|, y=√x, and y=2 D. y=x^2, y=3, and y=1/x

#### Smitorich Math Words

A number with more than two factors

a group of twelve

A whole number that has exactly two factors, 1 and itself.

#### MATH 151 Final Exam

Let a and b be integers with b>0. Then there exists unique integers q and r with the property that a=bq+r, where 0<=r<b

A positive integer d such that d is a common divisor of a and b and if d' is any other common divisor of a and b, then d' | d. d = gcd(a,b)

the group of all transformations under which the object is invariant with composition as the group operation.

#### Linear Algebra Final

The span of the vectors of the linear transformation ex: [1,0;0,2;0,1][s;t] = [s;2t;t] = Im(A)

Le U = subspace of R^n. Then, the orthogonal component of U is the set U^ortho = {v in R^n : v*u = 0 for all u in U }

vectors are orthogonal if the dot product between them is zero. there's a symbol for this it looks like perpendicular symbol because it is

#### Math Chapter 3 Vocab

Polynomials and rational functions are examples of ___ functions.

Exponential and logarithmic functions are examples of nonalgebraic functions, also called ___ functions.

The exponential function given by e^x is called the ___ ___ function, and the base e is called the ___ base.

#### Periodic Table Groups

Groups 3-12

Group 1

Group 2

#### math

Term

Coefficient

Constant

#### Group2

cohesion

Transition

caring confrontation

#### Function vocabulary

an equation in the form of 'f(x)=' to show the output value of a function, f, for an input value x

#### Algebra 1: Review #2 Ch 9- Quadratic Functions and Equations

A process that is used to solve quadratic equations set equal to 0. This process forces a quadratic function to be a perfect square trinomial that can be solved by taking square roots. It is also the process that allows us to derive the equation for the quadratic formula.

the highest or lowest point of a parabola

#### Math Vocab Chapter 2

a polynomial function of degree n & leading coefficient a,n is a function of a form f(x)=a,n x^n + a,n-1 x^n-1... (a,n cannot = 0) where n is a ------------- & a1 are -------- numbers

a ---------- function is a second-degree polynomial function, & its graph is called a -----------

the graph of a quadratic function is symmetric about its -------

#### 2 Step Equation Diagram

A number multiplied by a variable in an algebraic expression.

A symbol used to represent a quantity that can change

A symbol that indicates the mathematical operation to perform with the operands.

#### Group 3 Staff Fall 2019

C/Col Jacob A. Caparella

C/Lt Col Mikaela G. Vega

C/Maj Brian Milla