Algebra Essentials Flashcards

Questions and Answers

What is a variable?

A quantity that can assume any of a set of values.

What is an independent variable?

A variable whose values are independent of changes in the values of other variables.

What is a dependent variable?

A variable that changes as a result of a change in the independent variable.

What is quantity?

How much there is of something that you can quantify. Signup and view all the answers

What are units?

Part of a measurement that tells us what scale or standard is being used. Signup and view all the answers

What is algebra?

A mathematical language that uses variables along with numbers. Signup and view all the answers

What is a coordinate pair?

A pair of numbers in the form of (x,y) that gives the location of a point in the coordinate plane. Signup and view all the answers

What is the x-axis?

The horizontal number line in a coordinate plane. Signup and view all the answers

What is the y-axis?

The vertical number line in a coordinate plane. Signup and view all the answers

What is a line graph?

A graph that uses line segments to show how data changes usually with respect to time. Signup and view all the answers

What is a coefficient?

A number multiplied by a variable in an algebraic expression. Signup and view all the answers

What is mathematics?

The study of quantity, structure, space, and change. Signup and view all the answers

What is an expression?

A mathematical phrase that contains operations, numbers, and/or variables. Signup and view all the answers

What is an equation?

A mathematical statement that two expressions are equal. Signup and view all the answers

What is an operation?

Calculation by mathematical methods, e.g., sum, difference, product, quotient. Signup and view all the answers

What is linear measure?

The means of expressing the distance between two points. Signup and view all the answers

What is area?

The number of square units needed to cover a flat surface. Signup and view all the answers

What does it mean to evaluate?

To find the value of a numerical or algebraic expression. Signup and view all the answers

What does it mean to simplify?

To change an equation, fraction, or other mathematical expression into its most basic form. Signup and view all the answers

What is a number?

A point on a number line with no dimensions. Signup and view all the answers

Study Notes

Algebra Essentials

Variable: Represents a quantity that can take on various values within a defined set.
Independent Variable: A variable not affected by others, typically represented on the x-axis in a graph.
Dependent Variable: Changes in response to the independent variable; its value is determined by the independent variable.
Quantity: Refers to the measurable amount of something; it can be expressed numerically.
Units: Essential components of measurements indicating the scale or standard used for results representation.
Algebra: A mathematical system that combines variables with numbers to formulate relationships and solve problems.
Coordinate Pair: The format (x,y) used to locate a point on a coordinate plane; x represents horizontal placement and y indicates vertical positioning.
X-axis: The horizontal component of a coordinate plane, essential for plotting points and analyzing relationships.
Y-axis: The vertical line in a coordinate system, crucial for representing dependent values in functions.
Line Graph: A visual display using line segments to depict how data changes over time or another variable.
Coefficient: A numerical factor that multiplies a variable within an algebraic expression.
Mathematics: An academic discipline focusing on quantity, structure, space, and change.
Expression: A combination of numbers, variables, and operations without an equality sign.
Equation: A mathematical statement asserting that two expressions represent the same value.
Operation: Basic mathematics processes such as addition, subtraction, multiplication, and division.
Linear Measure: The measurement of the direct distance between two points, typically quantified in length.
Area: The measurement of a flat surface's extent, expressed in square units.
Evaluate: The process of determining a numerical value from an expression or equation.
Simplify: The act of restructuring mathematical expressions to their most reduced or fundamental form.
Number: A fundamental concept representing a point on a number line, characterized by having no dimensions.

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Description

This quiz features essential terms and definitions related to algebra, focusing on key concepts such as variables, independent and dependent variables, and quantities. Perfect for students seeking to strengthen their understanding of algebraic principles and terminology.