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# Algebra 1 Semester 2 Review Flashcards

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@LowCostHarpy

### What family does a Linear function belong to?

• Linear (correct)
• Exponential
• None of the above

• Cubic
• Linear
• Constant
• ### What family does an Absolute Value function belong to?

• Polynomial
• Linear
• Cubic
• Absolute Value (correct)
• ### What family does a Square Root function belong to?

<p>Square Root</p> Signup and view all the answers

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

<p>y = mx + b</p> Signup and view all the answers

<p>Sum</p> Signup and view all the answers

### What does factoring involve?

<p>Expressing a polynomial as a product</p> Signup and view all the answers

### What is a relation?

<p>Any set of ordered pairs</p> Signup and view all the answers

### What is the answer to a multiplication problem called?

<p>Product</p> Signup and view all the answers

### What defines an algebraic equation?

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

### What does the term 'quadratic' refer to?

<p>Of the second degree</p> Signup and view all the answers

### What is the output of a function called?

<p>Dependent variable</p> Signup and view all the answers

### What does it mean to list in descending order?

<p>Listing from greatest to least</p> Signup and view all the answers

### What is an exponent?

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

### What is a base in power problems?

<p>The number being used as a repeated factor</p> Signup and view all the answers

### What is the leading coefficient?

<p>Number in front of the term with the highest degree</p> Signup and view all the answers

### What is the answer to a division problem called?

<p>Quotient</p> Signup and view all the answers

### What does infinite mean in mathematics?

<p>Uncountable number of solutions</p> Signup and view all the answers

### What is the answer to a subtraction problem called?

<p>Difference</p> Signup and view all the answers

### What does it mean for two lines to be perpendicular?

<p>Two lines that intersect to form right angles</p> Signup and view all the answers

### What does it mean when two lines are coinciding?

<p>Two lines with all points shared</p> Signup and view all the answers

### What is a polynomial?

<p>Sum of four or more unlike monomials</p> Signup and view all the answers

### What is a Y-intercept?

<p>Where a line crosses the y-axis</p> Signup and view all the answers

### What is an intersection in mathematics?

<p>Point at which two lines cross</p> Signup and view all the answers

### What is a trinomial?

<p>Sum or difference of three unlike monomials</p> Signup and view all the answers

### What are parallel lines?

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

### What is the degree of a monomial?

<p>Sum of the exponents of the variables</p> Signup and view all the answers

### What is range in a set of ordered pairs?

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

### What is the degree of a polynomial?

<p>Greatest degree of any term</p> Signup and view all the answers

### What is an X-intercept?

<p>Where the line crosses the x-axis</p> Signup and view all the answers

### What does it mean to list in ascending order?

<p>Listing from least to greatest</p> Signup and view all the answers

### What is an independent variable?

<p>Input for a function</p> Signup and view all the answers

### What is slope in terms of a line?

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

### What are factors?

<p>Numbers multiplied to get a product</p> Signup and view all the answers

### What is a binomial?

<p>Sum or difference of two unlike monomials</p> Signup and view all the answers

### What is domain in a set of ordered pairs?

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

### What is a function?

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

### What is a monomial?

<p>Number, variable, or the product of numbers and variables</p> 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.

• 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.

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## 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!

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