Podcast
Questions and Answers
What is an equation?
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?
What does inequality represent?
The relation between two expressions that are not equal.
What is a positive number?
What is a positive number?
A number that is greater than zero.
What is a negative number?
What is a negative number?
What are axes?
What are axes?
What is a table in mathematics?
What is a table in mathematics?
What does independent mean in terms of variables?
What does independent mean in terms of variables?
What does dependent mean in terms of variables?
What does dependent mean in terms of variables?
What is a function?
What is a function?
What does area refer to?
What does area refer to?
What is a relationship in mathematics?
What is a relationship in mathematics?
Define domain.
Define domain.
Define range.
Define range.
What does continuous refer to?
What does continuous refer to?
What does discrete refer to?
What does discrete refer to?
What does scatter plot represent?
What does scatter plot represent?
Define positive correlation.
Define positive correlation.
Define negative correlation.
Define negative correlation.
What is a polynomial?
What is a polynomial?
What is an expression?
What is an expression?
What does factor mean?
What does factor mean?
What does linear refer to?
What does linear refer to?
What is the standard form of a linear equation?
What is the standard form of a linear equation?
What does slope measure?
What does slope measure?
What is an intercept?
What is an intercept?
What is slope-intercept form?
What is slope-intercept form?
What is a data set?
What is a data set?
What is the x-intercept?
What is the x-intercept?
What is the y-intercept?
What is the y-intercept?
What does rate of change measure?
What does rate of change measure?
What is an increasing function?
What is an increasing function?
What is a decreasing function?
What is a decreasing function?
What does steeper mean?
What does steeper mean?
What is a solution set?
What is a solution set?
What does intersection refer to on a graph?
What does intersection refer to on a graph?
What is a system of linear equations?
What is a system of linear equations?
What does plot mean in graphing?
What does plot mean in graphing?
What is a parabola?
What is a parabola?
What does quadratic refer to?
What does quadratic refer to?
What is a projectile?
What is a projectile?
What does time versus distance imply?
What does time versus distance imply?
What are roots in relation to a parabola?
What are roots in relation to a parabola?
What is a quadratic equation?
What is a quadratic equation?
What does solution mean in algebra?
What does solution mean in algebra?
What are the zeros of a quadratic function?
What are the zeros of a quadratic function?
What are x-intercepts of a quadratic?
What are x-intercepts of a quadratic?
What does quantity represent?
What does quantity represent?
What is a variable?
What is a variable?
What is a parent function?
What is a parent function?
What does decline mean in mathematical terms?
What does decline mean in mathematical terms?
What does parabolic refer to?
What does parabolic refer to?
What does exponential mean?
What does exponential mean?
What is functional notation?
What is functional notation?
What does commutative mean?
What does commutative mean?
What does associative mean?
What does associative mean?
What does distributive mean?
What does distributive mean?
What does equivalent mean?
What does equivalent mean?
What is a monomial?
What is a monomial?
What is a binomial?
What is a binomial?
What is a trinomial?
What is a trinomial?
What does constant rate mean?
What does constant rate mean?
What is a constant?
What is a constant?
What is a coefficient?
What is a coefficient?
What is set notation?
What is set notation?
What are real numbers?
What are real numbers?
What is a function rule?
What is a function rule?
What is proportion?
What is proportion?
What is direct variation?
What is direct variation?
What does unit rate mean?
What does unit rate mean?
What does reasonableness mean in mathematics?
What does reasonableness mean in mathematics?
What is an estimate?
What is an estimate?
What are exponents?
What are exponents?
What are exponential functions?
What are exponential functions?
What are exponent laws?
What are exponent laws?
What is inverse variation?
What is inverse variation?
What are nonlinear functions?
What are nonlinear functions?
What does exponential growth and decay refer to?
What does exponential growth and decay refer to?
What is a vertex in mathematics?
What is a vertex in mathematics?
What is perimeter?
What is perimeter?
What does simplify mean in algebra?
What does simplify mean in algebra?
What does labor refer to in mathematics?
What does labor refer to in mathematics?
What does narrower mean?
What does narrower mean?
What does wider mean?
What does wider mean?
What is a coordinate?
What is a coordinate?
What does annual mean?
What does annual mean?
What does bi-annual mean?
What does bi-annual mean?
What does nth refer to?
What does nth refer to?
What does initial refer to?
What does initial refer to?
What is an ordered pair?
What is an ordered pair?
What does substitute mean in mathematics?
What does substitute mean in mathematics?
What does translate mean in graphing?
What does translate mean in graphing?
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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Description
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.