Honors Algebra II Vocabulary List Week 1 1 1 Term Mean Exponent PEMDAS 2 Function 2 2 3 Independent Variable Dependent Variable Median 3 3 4 Mode Square Root of X Archimedes 4 Distance Formula 4 5 Integers Extraneous Solution 5 5 Matrix Literal Equation 6 Rational numbers 6 Rene DesCartes 6 Absolute Value 7 7 8 8 9 9 10 10 11 11 Constant Term Complementary Angles Supplementary Angles Like Terms Coefficient Congruent Regular Polygon Perfect Square Reciprocal of X Euclid 12 Sequence 12 Irrational Number 13 Real Numbers 13 Inverse Operations 14 Ratio Honors Algebra II Vocabulary List Definition The arithmetic average. A number that represents repeated multiplication of the same factor. Parenthesis, exponents, multiplication and division moving left to right, and addition and subtraction moving left to right. A function consists of: 1) a set called the domain containing numbers called inputs, and a set called the range containing numbers called outputs; 2)a pairing of inputs with outputs such that each input is paired with exactly one output. The input variable of a function; the set of which is known as the domain. The output variable of a function; the set of which is known as the range. The data point in the middle once the points are ordered from least to greatest. The data point that occurs most often. A number that when multiplied by itself is X. A greek mathematician, inventor, and astronomer living about 250 BC who worked out the value of pi and discovered parts of calculus. ...-3,-2,-1,0,1,2,3… An apparent solution that must be rejected because it does not satisfy the original equation. a rectangular arrangement of numbers in rows and columns. an equation in which letters are used to replace the constants and coefficients of another equation. A number that can be written as a over b where a and b are integers and b is not equal to zero. A French mathematician living in the 17th century who discovered Cartesian coordinate system and therefore analytic geometry. The distance between any number and 0 on a number line (the number is always a positive number). A term with a number part but no variable part. Two angles whose sum equals 90 degrees. Two angles whose sum equals 180 degrees. Terms containing the same variable part. The number part of a term containing a number and a variable. Objects with the same shape and size. A polygon that is equiangular and equilateral. A number that is a square of an integer. The number that when multiplied by X=1, inverse fraction. A Greek mathematician living about 300 BC who is known as "the father of Geometry" and who wrote The Elements . a function whose domain is a set of consecutive integers. A number that cannot be written as the quotient of two integers. The set of all rational and irrational numbers. Two operations that undo each other. A comparison of two numbers using division. 1 14 15 15 16 Complex Number Imaginary Number Imaginary Unit Slope 16 17 Slope-Intercept Formula Isaac Newton 17 18 Function Notation Completing the Square 18 19 Inverse Variation Zero Exponent 19 Negative Exponent 20 Pythagoras 20 21 Degree of a Polynomial Roots 21 Factor Completely 22 Leonard Euler 22 23 23 24 Discriminant Ellipse Parabola Hyperbola 24 25 25 Quadratic Formula Hypotenuse Muhammed al-Khowarizmi 26 Pythagorean Theorem 26 e 27 Logarithm of y with base b 27 28 28 Common Logarithm Natural Logarithm Permutation 29 29 Factorial Combination 30 Standard Deviation 30 SOHCAHTOA Honors Algebra II Vocabulary List a number a + bi where a and b are real numbers and i is the imaginary any number a + bi where b is not equal to 0 and i is the imaginary unit. the letter i used to represent the square root of -1. The ratio of the vertical change to the horizontal change between any two points on the line. y = mx + b An English physicist, mathematician, and astronomer who wrote Principia Mathematica. He described gravity, identified the three laws of motion, and laid the foundation for much of modern-day physics. A way to name a function using the symbol f(x) instead of y. the process of rewriting a quadratic expression so that it is a perfect square trinomial. The relationship of two variables such that y = a/x. If a is not equal to 0, then a0 = 1. If a is not equal to 0, then a-n is the reciprocal of an. A greek philosopher and mathematician living about 500 BC for whom the pythagorean theorem is named (but he didn't discover it). The greatest degree of the terms of the polynomial. The solutions of an equation in which one side of the equation is = 0 and the other side is a product of polynomial factors. A polynomial written as a product of unfactorable polynomials with integer coefficients. An 18th century Swiss mathematician, he gave the world modern trigonometry and either introduced or popularized e, i, and pi. the expression under the radical sign of the quadratic formula; b 2-4ac The conic section that resembles an oval but is not one. The U-shaped graph of a quadratic function. The planar graph of a quadratic equation which has two symmetrical branches. The formula x = -b + or - the square root of b2 - 4ac all divided by 2a. The side of a right triangle opposite the right angle. A Persian living in the seventh and eighth centuries, he wrote a book which demonstrated algebra and geometry titled Al-Jabr (where we get the word Algebra). For a right triangle, leg squared plus leg squared equals hypotenuse squared. the natural base e; the Euler number; (1 + 1/n)n; 2.718 (an irrational number). logby = x if and only if bx = y. a logarithm with base 10 a logarithm with base e an ordering of objects; nPr = n!/(n-r)! for n: the product of all integers from 1 to n; written n! a selection of r objects from n objects where order is not important; nCr = n!/r!(n-r)! a measure of dispersion which describes the typical difference between a data value and the mean. sine-opposite-hypotenuse;cosine-adjacent-hypotenuse;tangent-oppositeadjacent. 2
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