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?

A number that is less than zero. Signup and view all the answers

What are axes?

Fixed reference lines for the measurement of coordinates. Signup and view all the answers

What is a table in mathematics?

Numbers or quantities arranged in rows and columns. Signup and view all the answers

What does independent mean in terms of variables?

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

What does dependent mean in terms of variables?

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

What is a function?

A relationship or expression involving one or more variables. Signup and view all the answers

What does area refer to?

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

What is a relationship in mathematics?

When one variable quantity changes along with another variable. Signup and view all the answers

Define domain.

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

Define range.

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

What does continuous refer to?

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

What does discrete refer to?

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

What does scatter plot represent?

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

Define positive correlation.

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

Define negative correlation.

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

What is a polynomial?

An expression of more than two algebraic terms. Signup and view all the answers

What is an expression?

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

What does factor mean?

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

What does linear refer to?

Resembling a straight line. Signup and view all the answers

What is the standard form of a linear equation?

Ax + By = C Signup and view all the answers

What does slope measure?

The steepness of a line. Signup and view all the answers

What is an intercept?

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

What is slope-intercept form?

y = mx + b Signup and view all the answers

What is a data set?

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

What is the x-intercept?

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

What is the y-intercept?

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

What does rate of change measure?

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

What is an increasing function?

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

What is a decreasing function?

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

What does steeper mean?

Rising at a higher rate. Signup and view all the answers

What is a solution set?

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

What does intersection refer to on a graph?

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

What is a system of linear equations?

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

What does plot mean in graphing?

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

What is a parabola?

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

What does quadratic refer to?

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

What is a projectile?

An object propelled or launched with great force. Signup and view all the answers

What does time versus distance imply?

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

What are roots in relation to a parabola?

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

What is a quadratic equation?

An equation with its highest exponent being squared. Signup and view all the answers

What does solution mean in algebra?

The value of x when solving an equation. Signup and view all the answers

What are the zeros of a quadratic function?

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

What are x-intercepts of a quadratic?

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

What does quantity represent?

A certain amount of something. Signup and view all the answers

What is a variable?

A letter representing an unknown and changing quantity. Signup and view all the answers

What is a parent function?

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

What does decline mean in mathematical terms?

A decrease in amount. Signup and view all the answers

What does parabolic refer to?

U-shaped on the graph. Signup and view all the answers

What does exponential mean?

Growth happening very fast. Signup and view all the answers

What is functional notation?

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

What does commutative mean?

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

What does associative mean?

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

What does distributive mean?

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

What does equivalent mean?

One is the same as the other. Signup and view all the answers

What is a monomial?

An equation or expression with only one term. Signup and view all the answers

What is a binomial?

An equation or expression with only two terms. Signup and view all the answers

What is a trinomial?

An equation or expression with only three terms. Signup and view all the answers

What does constant rate mean?

Going up or down by the same amount. Signup and view all the answers

What is a constant?

A number term with no variable. Signup and view all the answers

What is a coefficient?

A number term containing a variable. Signup and view all the answers

What is set notation?

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

What are real numbers?

All numbers--positive and negative integers and fractions. Signup and view all the answers

What is a function rule?

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

What is proportion?

Two ratios that are equal to each other. Signup and view all the answers

What is direct variation?

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

What does unit rate mean?

A way in which a quantity is measured. Signup and view all the answers

What does reasonableness mean in mathematics?

The answer reached just seems to make sense. Signup and view all the answers

What is an estimate?

An approximation or rounding of a number. Signup and view all the answers

What are exponents?

Small numbers in the superscript indicating powers. Signup and view all the answers

What are exponential functions?

Exponential equations with one output for every one input. Signup and view all the answers

What are exponent laws?

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

What is inverse variation?

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

What are nonlinear functions?

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

What does exponential growth and decay refer to?

The quantity that increases or decreases very fast. Signup and view all the answers

What is a vertex in mathematics?

The highest or lowest point of a function. Signup and view all the answers

What is perimeter?

The distance around an object at its base. Signup and view all the answers

What does simplify mean in algebra?

Combining like terms and eliminating parentheses. Signup and view all the answers

What does labor refer to in mathematics?

The effort put out at work. Signup and view all the answers

What does narrower mean?

Closer together. Signup and view all the answers

What does wider mean?

More spread out. Signup and view all the answers

What is a coordinate?

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

What does annual mean?

Yearly. Signup and view all the answers

What does bi-annual mean?

Twice a year. Signup and view all the answers

What does nth refer to?

A particular number in a sequence. Signup and view all the answers

What does initial refer to?

The starting point. Signup and view all the answers

What is an ordered pair?

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

What does substitute mean in mathematics?

To replace a variable with a number. Signup and view all the answers

What does translate mean in graphing?

To move a line up or down or left to right on a graph. 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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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.