Algebra 1 Semester 2 Review Flashcards
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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?

    <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

    What is the answer to an addition problem called?

    <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.

    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.

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    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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