algebra
Solve for x
Algebra is the branch of mathematics that uses letters and symbols to represent numbers and quantities in equations and formulas.
It moves beyond arithmetic's focus on specific numbers to explore general relationships and patterns.
Elementary algebra, taught in middle and high school, covers solving equations and working with variables; abstract algebra, a university subject, studies mathematical structures like groups and rings.
I struggled with algebra until I understood that x was just a placeholder for an unknown number.
Prone to fluctuation
- unknownNot yet discovered
- coefficientNumber multiplying a variable
- constantFixed, unvarying quantity
- expressionConveyed thought or feeling
polynomial · quadratic · linear · cubic · exponential · logarithmic · inequality · solve
Self-evident starting principle
- postulateAssumed starting point
- theoremDemonstrated logical conclusion
- proofDemonstration of truth
- conjectureGuess from limited facts
proposition · lemma · corollary · deduction · inference · rigorous · formal · abstract
Assembled collection of things
- ringClosed curve shape
- fieldArea of specialty
- latticeOpenwork of crossed strips
- moduleIndependent functional component
subgroup · isomorphism · commutative · associative · distributive · identity · inverse · closure
variable
Prone to fluctuation
- unknownNot yet discovered
- coefficientNumber multiplying a variable
- constantFixed, unvarying quantity
expression · polynomial · quadratic · linear · cubic · exponential · logarithmic · inequality · solve · substitute
axiom
Self-evident starting principle
conjecture · proposition · lemma · corollary · deduction · inference · rigorous · formal · abstract · generalization
group
Assembled collection of things
module · subgroup · isomorphism · commutative · associative · distributive · identity · inverse · closure · kernel
monomial
Single-term algebraic expression
- binomialExpression with two terms
- trinomialExpression with three terms
- coefficientNumber multiplying a variable
degree · factorization · expansion · FOIL · term · exponent · radical · quadratic · quintic · homogeneous
homework
Student assignments for outside class
- textbookAcademic subject manual
- classroomEducational instruction space
- teacherOne who instructs others
quiz · exam · lesson · curriculum · syllabus · study · tutor · student · blackboard · whiteboard
- high schoolhigh school, teachers, classroom, classrooms, principal
- mathaddition, subtraction, multiplication, division, fractions
- math skillsarithmetic, addition, subtraction, multiplication, division
- mathematicsarithmetic, calculus, geometry, number, addition
- STEMscience, engineering, mathematics, math, technology
- math practiceaddition, subtraction, multiplication, long division, fractions
algebraarithmetic
Mathematics of basic operations
computation · number crunching · mental math · calculation · numeracy
algebrageometry
Science of spatial relationships
spatial reasoning · trigonometry · geometric proof · Euclidean geometry · topology
algebracommon sense
Native practical judgment
intuition · estimation · mental arithmetic · street smarts · innumeracy
- algebraic expressionsMathematical phrases with variables
- algebraic equationMathematical equality using variables
- linear algebraMathematics of vector spaces
- simple algebraMath using variables and constants
- algebra teacherOne who explains equations
- college algebraFirst university math course
algebraic, algebras, algebraically, prealgebra, linear algebra