NYS Algebra Regents Vocabulary Review

Questions and Answers

What type of number can be expressed as an integer or fraction?

Rational (correct)

Complex number

Whole number

Irrational

What does a continuous graph allow for x-values?

ANY points in the interval

What is a maximum turning point in a polynomial function?

A relative maximum value where the graph starts to decrease

What does absolute value represent?

Value or distance away from zero Signup and view all the answers

What does a discrete graph allow for x-values?

Only certain points, usually integers Signup and view all the answers

What does the term 'sum' refer to in mathematics?

To add Signup and view all the answers

What is a monomial?

One term Signup and view all the answers

What defines a function?

A relation where for every input there is exactly one output Signup and view all the answers

What does causation refer to in statistics?

The ability of one variable to influence another Signup and view all the answers

What is bivariate data?

Data on each of two variables paired together Signup and view all the answers

What are conjugate pairs in mathematics?

Two binomials that are the same except for different signs Signup and view all the answers

What are quartiles in a data set?

Four equal groups separated by median values Signup and view all the answers

What does the zero property factor imply?

When the product of two real numbers is 0, at least one of them is 0 Signup and view all the answers

What defines an irrational number?

A number that cannot be expressed as an integer or fraction Signup and view all the answers

What is the characteristic of a linear function?

Having a graph with a straight line Signup and view all the answers

What is a minimum turning point in a polynomial function?

A relative minimum value where the graph starts to increase Signup and view all the answers

What is the substitution method used for?

To solve a linear system for one or more variables Signup and view all the answers

What are constraints in mathematics?

Limitations or restrictions placed on variables Signup and view all the answers

What is a turning point in a polynomial function?

Value(s) that show a change in direction in the graph Signup and view all the answers

What is interval notation?

Representing an interval as a pair of numbers Signup and view all the answers

What does linear regression analyze?

The relationship between a scalar response and explanatory variables Signup and view all the answers

What is the multiplicative property of equality?

Allows one to multiply the same quantity by both sides of an equation Signup and view all the answers

What is symmetry in mathematics?

When parts are identical after a flip, slide, or turn Signup and view all the answers

What is a recursive definition?

A formula that uses the preceding term to define the next term in a sequence Signup and view all the answers

What is the rate of growth in a function?

The value that the function increases by over a course of time Signup and view all the answers

What is the elimination method used for?

To solve a linear system for one or more variables by cancelling one variable Signup and view all the answers

Study Notes

Rational Numbers

Rational numbers can be expressed as integers or fractions and have terminating decimals. Example: 6.2.

Continuous Graphs

Continuous graphs permit x-values to be any point within a given interval, including fractions and decimals. Example: For x = 1.2, y = 3 corresponds to point (1.2, 3).

Maximum Turning Point

A maximum turning point signifies a relative maximum in a polynomial graph where the output begins to decrease.

Absolute Value

Represents the distance of a number from zero on the number line.

Discrete Graphs

Discrete graphs include x-values as specific points, commonly integers. Example: For x = 1, y = 3 corresponds to point (1, 3).

Sum

The sum refers to the result of adding numbers together. Example: 2 + 2 = 4.

Monomial

A monomial consists of a single term. Examples include 12, 12xy, or x.

Function

Functions are relations where each input corresponds to one unique output. Verified through the vertical line test. Example: x = 3 corresponds to y = 2.

Causation

Causation indicates the influence one variable has over another, shown as the relationship between input (x) and output (y).

Bivariate Data

Bivariate data involves two variables where each value of one variable pairs with a corresponding value of another.

Conjugate Pair

A conjugate pair consists of two binomials differing only in their signs. Example: (2x + 4)(2x - 4).

Quartiles

Quartiles divide a dataset into four equal parts, with medians separating upper and lower quartiles.

Zero Property Factor

This property states that if the product of two numbers equals zero, at least one of the factors must be zero. Utilized in factoring.

Irrational Numbers

Irrational numbers cannot be expressed as simple fractions, often represented by non-terminating decimals. Example: π.

Linear Functions

Linear functions produce straight-line graphs and include variables raised only to the power of 1. Examples: y = x, y = mx + b.

Minimum Turning Point

A minimum turning point signifies a relative minimum value in a polynomial function, where the output begins to increase.

Substitution Method

A technique for solving linear systems, involving solving for one variable and substituting that value into another equation. Example: Solve 3x + y = 10 and 2x + 2y = 8.

Constraints

Constraints denote limitations on variables, often expressed through inequalities representing greater or lesser values.

Turning Points

Turning points in polynomial functions indicate where the graph changes direction, such as starting to increase or decrease.

Interval Notation

Interval notation indicates a range of numbers defined by two endpoints, illustrating the x-values fulfilling an inequality.

Linear Regression

Linear regression models the relationship between a dependent variable and one or more independent variables through a line of best fit.

Multiplicative Property of Equality

This property signifies that both sides of an equation remain equal when both are multiplied by the same non-zero quantity. Example: If x = 4, then 2x = 8.

Symmetry

Symmetry is observed when parts of a figure or graph are identical after transformation (flip, slide, turn), resembling mirror images.

Recursive Definition

A recursive definition is a formula linking sequential terms, where a current term depends on the previous term’s value.

Rate of Growth

The rate of growth indicates how much a function increases over time, typically visible through the slope of a line.

Elimination Method

The elimination method is a strategy for solving linear systems where one variable is canceled out when equations are added.

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Prepare for the NYS Algebra Regents exam with this vocabulary review quiz. Each card presents key terms, their definitions, and examples to help reinforce your understanding of algebraic concepts. Perfect for students looking to enhance their knowledge before the test.