STAAR Algebra 1 Vocabulary Quiz
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Questions and Answers

What is an equation?

  • An expression with its highest exponent being squared.
  • The relation between two expressions that are not equal.
  • A statement that the values of two mathematical expressions are equal. (correct)
  • A variable whose value depends on another variable.

What does inequality represent?

The relation between two expressions that are not equal.

What is a positive number?

A number that is greater than zero.

What is a negative number?

<p>A number that is less than zero.</p> Signup and view all the answers

What are axes?

<p>Fixed reference lines for the measurement of coordinates.</p> Signup and view all the answers

What is a table in mathematics?

<p>Numbers or quantities arranged in rows and columns.</p> Signup and view all the answers

What does independent mean in terms of variables?

<p>A variable whose variation does not depend on that of another.</p> Signup and view all the answers

What does dependent mean in terms of variables?

<p>A variable whose value depends on that of another.</p> Signup and view all the answers

What is a function?

<p>A relationship or expression involving one or more variables.</p> Signup and view all the answers

What does area refer to?

<p>The size of a surface of a two-dimensional figure.</p> Signup and view all the answers

What is a relationship in mathematics?

<p>When one variable quantity changes along with another variable.</p> Signup and view all the answers

Define domain.

<p>All reasonable numbers that could be used to quantify the independent variable.</p> Signup and view all the answers

Define range.

<p>All reasonable numbers that could be used to quantify the dependent variable.</p> Signup and view all the answers

What does continuous refer to?

<p>Numbers that include all integers and fractional numbers on the number line.</p> Signup and view all the answers

What does discrete refer to?

<p>The integers on the number line but not the numbers in between them.</p> Signup and view all the answers

What does scatter plot represent?

<p>An x and y-axis graph with coordinate points on it.</p> Signup and view all the answers

Define positive correlation.

<p>The dots on a scatter plot are trending upward from left to right.</p> Signup and view all the answers

Define negative correlation.

<p>The dots on a scatter plot are trending downward from left to right.</p> Signup and view all the answers

What is a polynomial?

<p>An expression of more than two algebraic terms.</p> Signup and view all the answers

What is an expression?

<p>A combination of symbols and terms that look like an equation but are missing an equals sign.</p> Signup and view all the answers

What does factor mean?

<p>To break numbers and equations up into parts that can be multiplied together.</p> Signup and view all the answers

What does linear refer to?

<p>Resembling a straight line.</p> Signup and view all the answers

What is the standard form of a linear equation?

<p>Ax + By = C</p> Signup and view all the answers

What does slope measure?

<p>The steepness of a line.</p> Signup and view all the answers

What is an intercept?

<p>The point where a line goes through the x or y-axis.</p> Signup and view all the answers

What is slope-intercept form?

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

What is a data set?

<p>Numbers that have been collected to represent changes in variable quantities.</p> Signup and view all the answers

What is the x-intercept?

<p>The point where the line goes through the x-axis.</p> Signup and view all the answers

What is the y-intercept?

<p>The point where the line goes through the y-axis.</p> Signup and view all the answers

What does rate of change measure?

<p>The speed at which a variable changes over time.</p> Signup and view all the answers

What is an increasing function?

<p>The line on the graph is going up from left to right.</p> Signup and view all the answers

What is a decreasing function?

<p>The line on the graph is going down from left to right.</p> Signup and view all the answers

What does steeper mean?

<p>Rising at a higher rate.</p> Signup and view all the answers

What is a solution set?

<p>A group of numbers that can satisfy an equation.</p> Signup and view all the answers

What does intersection refer to on a graph?

<p>A place where two lines on a graph meet.</p> Signup and view all the answers

What is a system of linear equations?

<p>A collection of two or more equations with the same set of variables.</p> Signup and view all the answers

What does plot mean in graphing?

<p>To place coordinate points in their respective locations on a graph.</p> Signup and view all the answers

What is a parabola?

<p>A U-shaped line on a graph formed by the equation y=x^2.</p> Signup and view all the answers

What does quadratic refer to?

<p>Refers to the relationship between two variables where one rises, then the other falls.</p> Signup and view all the answers

What is a projectile?

<p>An object propelled or launched with great force.</p> Signup and view all the answers

What does time versus distance imply?

<p>The first is an independent variable and the second is a dependent variable.</p> Signup and view all the answers

What are roots in relation to a parabola?

<p>A place where a parabola passes through the x-axis.</p> Signup and view all the answers

What is a quadratic equation?

<p>An equation with its highest exponent being squared.</p> Signup and view all the answers

What does solution mean in algebra?

<p>The value of x when solving an equation.</p> Signup and view all the answers

What are the zeros of a quadratic function?

<p>The places where the parabola passes through the x-axis.</p> Signup and view all the answers

What are x-intercepts of a quadratic?

<p>The places where the parabola goes through the x-axis.</p> Signup and view all the answers

What does quantity represent?

<p>A certain amount of something.</p> Signup and view all the answers

What is a variable?

<p>A letter representing an unknown and changing quantity.</p> Signup and view all the answers

What is a parent function?

<p>Equations with the basic building blocks for more complicated equations.</p> Signup and view all the answers

What does decline mean in mathematical terms?

<p>A decrease in amount.</p> Signup and view all the answers

What does parabolic refer to?

<p>U-shaped on the graph.</p> Signup and view all the answers

What does exponential mean?

<p>Growth happening very fast.</p> Signup and view all the answers

What is functional notation?

<p>Commonly f(x), pronounced 'f of x'.</p> Signup and view all the answers

What does commutative mean?

<p>Being able to switch the order of numbers when adding or multiplying.</p> Signup and view all the answers

What does associative mean?

<p>Being able to multiply in a different order to get the same result.</p> Signup and view all the answers

What does distributive mean?

<p>Lets you multiply a sum by multiplying each addend separately.</p> Signup and view all the answers

What does equivalent mean?

<p>One is the same as the other.</p> Signup and view all the answers

What is a monomial?

<p>An equation or expression with only one term.</p> Signup and view all the answers

What is a binomial?

<p>An equation or expression with only two terms.</p> Signup and view all the answers

What is a trinomial?

<p>An equation or expression with only three terms.</p> Signup and view all the answers

What does constant rate mean?

<p>Going up or down by the same amount.</p> Signup and view all the answers

What is a constant?

<p>A number term with no variable.</p> Signup and view all the answers

What is a coefficient?

<p>A number term containing a variable.</p> Signup and view all the answers

What is set notation?

<p>A precise way of describing which items belong in a set.</p> Signup and view all the answers

What are real numbers?

<p>All numbers--positive and negative integers and fractions.</p> Signup and view all the answers

What is a function rule?

<p>The expression part of an f(x) equation.</p> Signup and view all the answers

What is proportion?

<p>Two ratios that are equal to each other.</p> Signup and view all the answers

What is direct variation?

<p>An equation with y and x, containing a slope but no y-intercept.</p> Signup and view all the answers

What does unit rate mean?

<p>A way in which a quantity is measured.</p> Signup and view all the answers

What does reasonableness mean in mathematics?

<p>The answer reached just seems to make sense.</p> Signup and view all the answers

What is an estimate?

<p>An approximation or rounding of a number.</p> Signup and view all the answers

What are exponents?

<p>Small numbers in the superscript indicating powers.</p> Signup and view all the answers

What are exponential functions?

<p>Exponential equations with one output for every one input.</p> Signup and view all the answers

What are exponent laws?

<p>Seven rules that dictate how to multiply and divide exponential numbers.</p> Signup and view all the answers

What is inverse variation?

<p>A process in which variables are switched and we solve for y.</p> Signup and view all the answers

What are nonlinear functions?

<p>A line on a graph that is not straight.</p> Signup and view all the answers

What does exponential growth and decay refer to?

<p>The quantity that increases or decreases very fast.</p> Signup and view all the answers

What is a vertex in mathematics?

<p>The highest or lowest point of a function.</p> Signup and view all the answers

What is perimeter?

<p>The distance around an object at its base.</p> Signup and view all the answers

What does simplify mean in algebra?

<p>Combining like terms and eliminating parentheses.</p> Signup and view all the answers

What does labor refer to in mathematics?

<p>The effort put out at work.</p> Signup and view all the answers

What does narrower mean?

<p>Closer together.</p> Signup and view all the answers

What does wider mean?

<p>More spread out.</p> Signup and view all the answers

What is a coordinate?

<p>A place on a graph in the form of (x,y).</p> Signup and view all the answers

What does annual mean?

<p>Yearly.</p> Signup and view all the answers

What does bi-annual mean?

<p>Twice a year.</p> Signup and view all the answers

What does nth refer to?

<p>A particular number in a sequence.</p> Signup and view all the answers

What does initial refer to?

<p>The starting point.</p> Signup and view all the answers

What is an ordered pair?

<p>An (x,y) that could be substituted in an equation.</p> Signup and view all the answers

What does substitute mean in mathematics?

<p>To replace a variable with a number.</p> Signup and view all the answers

What does translate mean in graphing?

<p>To move a line up or down or left to right on a graph.</p> Signup and view all the answers

Study Notes

Algebraic Concepts and Terminology

  • Equation: A mathematical statement indicating two expressions are equal, denoted by the equals sign (=).
  • Inequality: A relationship between expressions that are not equal, represented by symbols such as ≠, >, or <.
  • Positive Number: A quantity greater than zero.
  • Negative Number: A quantity less than zero.

Graphical Representation

  • Axes: Fixed reference lines used in coordinate systems for plotting points.
  • Scatter Plot: A graph that displays points representing coordinate pairs (x,y).
  • X-intercept: The point where a line crosses the x-axis.
  • Y-intercept: The point where a line crosses the y-axis.

Functional Relationships

  • Independent Variable: Typically represented by x; its value is not influenced by other variables.
  • Dependent Variable: Typically represented by y; its value depends on the independent variable.
  • Function: A relationship where each input (independent variable) corresponds to exactly one output (dependent variable).
  • Domain: The set of all possible input values for a function.
  • Range: The set of all possible output values for a function.

Types of Functions

  • Continuous Function: Includes all integers and fractions along a number line; can take on any value within a range.
  • Discrete Function: Comprises only distinct integers with no values in between.
  • Linear Function: Resembles a straight line when graphed.
  • Quadratic Function: Involves an expression with a squared variable, resulting in a parabolic graph (U-shaped).
  • Exponential Function: Involves growth or decay represented by a variable in the exponent.

Slope and Intercepts

  • Slope: Measures the steepness of a line, calculated as the change in y over the change in x (rise/run), usually denoted by m.
  • Slope-Intercept Form: A way to express a linear equation as y = mx + b, where m is the slope and b is the y-intercept.

Algebraic Expressions and Operations

  • Expression: Combines numbers and symbols resembling equations but lacks an equals sign.
  • Polynomial: An expression composed of multiple algebraic terms.
  • Monomial, Binomial, Trinomial: Expressions with one, two, and three terms respectively.
  • Factor: The process of breaking numbers into components that multiply to the original number.
  • Simplify: The act of combining like terms and removing parentheses in algebraic expressions.

Special Points and Changes

  • Vertex: The highest or lowest point of a quadratic function, indicating its maximum or minimum value.
  • Roots/Zeros: Points where a graph intersects the x-axis, indicating the solutions to the equation.
  • Rate of Change: Describes how quickly a variable changes in relation to another variable.

Data and Correlation

  • Data Set: A collection of numbers representing changes in independent and dependent variables.
  • Positive Correlation: A trend where as one variable increases, the other also increases.
  • Negative Correlation: A trend where as one variable increases, the other decreases.

Shapes and Measurements

  • Area: The measurement of a two-dimensional surface.
  • Perimeter: The total distance around the edges of a shape.
  • Narrower and Wider: Descriptive terms for the relative distance between lines/points.

Mathematical Properties

  • Commutative Property: Allows for changing the order of numbers in addition or multiplication without affecting the result.
  • Associative Property: Permits changing the grouping of numbers in addition or multiplication without changing the outcome.
  • Distributive Property: Enables the multiplication of a sum by multiplying each addend separately before summing them.

Various Mathematical Concepts

  • Constant: A fixed value that does not change.
  • Coefficient: A numerical factor in a term containing a variable.
  • Proportion: A comparison of two ratios that are equal.
  • Functional Notation: Expressed as f(x), illustrating a function of x.
  • Estimate: A reasoned approximation of a number or amount.

General Terms

  • Quantity: A specified amount or number of something.
  • Variable: A symbol, typically a letter, representing an unknown quantity that can change.
  • Initial Value: The starting point in a function or series.

These foundational concepts form the basis for understanding Algebra 1 and are essential for problem-solving in mathematics.

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Test your knowledge of essential Algebra 1 vocabulary terms. This quiz covers key concepts such as equations, inequalities, and numeric classifications. Perfect for students preparing for the STAAR exam.

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