BJU Press - Algebra 1 Chapter 1 Flashcards

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Questions and Answers

What is a set?

A number

A single object

An operation

A collection of objects (correct)

What is each object in a set called?

Element or Member

What is an empty set?

A set with no elements

What does the union of sets represent?

The set of elements that appear in any of the sets Signup and view all the answers

What is the intersection of sets?

The elements that are common to two or more sets Signup and view all the answers

What is a subset?

A set that is part of a larger set Signup and view all the answers

What are rational numbers?

Any number that can be expressed as a fraction Signup and view all the answers

What are irrational numbers?

Numbers with decimal form that neither terminates nor repeats Signup and view all the answers

What is the origin?

The point at zero Signup and view all the answers

What defines negative numbers?

Numbers less than zero Signup and view all the answers

What is a graph?

A point on a number line Signup and view all the answers

What is a coordinate?

The real number that corresponds to a point Signup and view all the answers

What is an opposite number?

A number that is the same distance away from zero in the other direction Signup and view all the answers

What is absolute value?

The distance a number is from zero on a number line Signup and view all the answers

What is a mathematical property?

An equation or statement that is true for any value of the variables Signup and view all the answers

What is subtraction?

An operation in which we take away one number from another Signup and view all the answers

What is a unit multiplier?

A fraction made up of equivalent measures that is equal to one Signup and view all the answers

What are reciprocals?

Two numbers whose product is 1 Signup and view all the answers

What is division?

Multiplying by the reciprocal of the divisor Signup and view all the answers

What is zero power?

Anything to the power of zero is just 1 Signup and view all the answers

What are negative exponents?

For any nonzero number x, x^(-a) = 1/x^a Signup and view all the answers

What does 'Best of Luck!' mean?

A phrase wishing someone success Signup and view all the answers

Study Notes

Set Theory and Number Concepts

Set: A collection of distinct objects, which can be numerical or non-numerical.
Element/Member: An individual object within a set.
Empty Set: A set that contains no elements, often denoted by the symbol ∅.
Union of Sets (U): Combines all elements from two or more sets, including duplicates.
Intersection of Sets: Identifies common elements present in two or more sets.
Subset: A set in which every member is also contained in a larger set.

Number Classification

Rational Numbers: Any number that can be expressed as the quotient of two integers (a fraction).
Irrational Numbers: Numbers that cannot be expressed as a simple fraction; their decimal representation neither terminates nor repeats.

Graphing Fundamentals

Origin: The point at which the coordinates are both zero (0, 0).
Negative Numbers: Values less than zero, found to the left of zero on the number line.
Graph: A representation of points on a number line, corresponding to real numbers.
Coordinate: The specific real number associated with a point on the graph.

Number Properties

Opposite Number: A number located at an equal distance from zero but in the opposite direction on a number line.
Absolute Value: The non-negative distance of a number from zero on the number line.
Mathematical Property: A universally true statement or equation for all variable values.

Mathematical Operations

Subtraction: Removing one quantity from another to obtain a smaller result.
Unit Multiplier: A fraction representing equivalent measurements, useful for unit conversion.
Reciprocals (Multiplicative Inverses): Two numbers whose product equals one (e.g., 2 and 0.5).
Division: Can be conceptualized as multiplying a number by the reciprocal of the divisor.
Zero Power: Any non-zero number raised to the exponent of zero equals one.
Negative Exponents: For any nonzero number x and integer a, x^(-a) equals 1/x^a.

Closing Wishes

Best of Luck!: Encouragement for students in their studies.

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Description

Test your knowledge of basic set theory concepts with these flashcards from Algebra 1 Chapter 1. Learn definitions such as sets, elements, empty sets, unions, and intersections through engaging questions. Perfect for revising key terms in mathematics.