Algebra 1 Semester 2 Review Flashcards

Questions and Answers

What family does a Linear function belong to?

Linear (correct)

Quadratic

Exponential

None of the above

What family does a Quadratic function belong to?

Cubic

Linear

Constant

Quadratic (correct)

What family does an Absolute Value function belong to?

Polynomial

Linear

Cubic

Absolute Value (correct)

What family does a Square Root function belong to?

Square Root Signup and view all the answers

What is the equation of a line in Slope-Intercept Form?

y = mx + b Signup and view all the answers

What is the answer to an addition problem called?

Sum Signup and view all the answers

What does factoring involve?

Expressing a polynomial as a product Signup and view all the answers

What is a relation?

Any set of ordered pairs Signup and view all the answers

What is the answer to a multiplication problem called?

Product Signup and view all the answers

What defines an algebraic equation?

Numbers, variables, and operation symbols connected with an equal sign Signup and view all the answers

What does the term 'quadratic' refer to?

Of the second degree Signup and view all the answers

What is the output of a function called?

Dependent variable Signup and view all the answers

What does it mean to list in descending order?

Listing from greatest to least Signup and view all the answers

What is an exponent?

Number that tells how many times a base is used as a factor Signup and view all the answers

What is a base in power problems?

The number being used as a repeated factor Signup and view all the answers

What is the leading coefficient?

Number in front of the term with the highest degree Signup and view all the answers

What is the answer to a division problem called?

Quotient Signup and view all the answers

What does infinite mean in mathematics?

Uncountable number of solutions Signup and view all the answers

What is the answer to a subtraction problem called?

Difference Signup and view all the answers

What does it mean for two lines to be perpendicular?

Two lines that intersect to form right angles Signup and view all the answers

What does it mean when two lines are coinciding?

Two lines with all points shared Signup and view all the answers

What is a polynomial?

Sum of four or more unlike monomials Signup and view all the answers

What is a Y-intercept?

Where a line crosses the y-axis Signup and view all the answers

What is an intersection in mathematics?

Point at which two lines cross Signup and view all the answers

What is a trinomial?

Sum or difference of three unlike monomials Signup and view all the answers

What are parallel lines?

Lines in the same plane with the same slope that don't intersect Signup and view all the answers

What is the degree of a monomial?

Sum of the exponents of the variables Signup and view all the answers

What is range in a set of ordered pairs?

The Y-values in a set of ordered pairs Signup and view all the answers

What is the degree of a polynomial?

Greatest degree of any term Signup and view all the answers

What is an X-intercept?

Where the line crosses the x-axis Signup and view all the answers

What does it mean to list in ascending order?

Listing from least to greatest Signup and view all the answers

What is an independent variable?

Input for a function Signup and view all the answers

What is slope in terms of a line?

The steepness of a line - also rise over run Signup and view all the answers

What are factors?

Numbers multiplied to get a product Signup and view all the answers

What is a binomial?

Sum or difference of two unlike monomials Signup and view all the answers

What is domain in a set of ordered pairs?

The X-values in a set of ordered pairs Signup and view all the answers

What is a function?

Set of ordered pairs in which each element of the domain is paired with exactly one element of the range Signup and view all the answers

What is a monomial?

Number, variable, or the product of numbers and variables Signup and view all the answers

Study Notes

Linear Functions

Functions belonging to the linear family display a constant rate of change, represented by straight lines on a graph.

Quadratic Functions

Quadratics belong to the polynomial family, characterized by the highest exponent being two, producing parabolic shapes on graphs.

Absolute Value Functions

Functions that represent the distance of a number from zero, depicted by a V-shaped graph.

Square Root Functions

Functions that yield the principal square root of a number, typically producing half a parabola's shape on a graph.

Slope-Intercept Form

The equation of a line in this form is articulated as y=mx+b where m is the slope and b represents the y-intercept.

Mathematical Operations

Sum refers to the result of addition, while Difference indicates the result of subtraction. Product signifies the outcome of multiplication, and Quotient refers to the answer from division.

Polynomial Expressions

Factoring involves rewriting a polynomial as a product of its factors, which could be monomials, binomials, or trinomials.

Relations and Ordered Pairs

A relation comprises any set of ordered pairs, allowing the analysis of the relationship between input (independent variable) and output (dependent variable).

Coefficients and Degrees

The leading coefficient is the coefficient of the term with the highest degree in a polynomial, while the degree of a monomial is the sum of the exponents of its variables. The degree of a polynomial is determined by the highest degree amongst its terms.

Line Characteristics

Perpendicular lines intersect at right angles, coinciding lines share all points, and parallel lines have the same slope but do not intersect.

Intercept Concepts

The y-intercept indicates where a line crosses the y-axis, while the x-intercept shows where it crosses the x-axis.

Value Sets

The domain refers to the set of x-values, while the range refers to the set of y-values in a relation.

Function Definition

A function is defined as a set of ordered pairs where each input (from the domain) corresponds to exactly one output (from the range).

Types of Monomials

Monomials consist of a single term, while binomials have two terms, and trinomials consist of three terms.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Test your knowledge of various function families with these flashcards designed for Algebra 1 Semester 2. Each card presents a mathematical term or concept, asking you to identify its associated family or equation. Perfect for reviewing key concepts before exams!