Podcast
Questions and Answers
What are symbols, usually letters, used to represent unknown quantities?
What are symbols, usually letters, used to represent unknown quantities?
What is an expression that contains at least one variable?
What is an expression that contains at least one variable?
Algebraic expression
The steps to follow in the order of operations are: Step 1: Evaluate expressions inside ___ symbols.
The steps to follow in the order of operations are: Step 1: Evaluate expressions inside ___ symbols.
grouping
What is a mathematical sentence that expresses the relationship between certain quantities?
What is a mathematical sentence that expresses the relationship between certain quantities?
Signup and view all the answers
What are all numbers used in everyday life called?
What are all numbers used in everyday life called?
Signup and view all the answers
What is any number m/n, where m and n are integers and n is not zero?
What is any number m/n, where m and n are integers and n is not zero?
Signup and view all the answers
What is a real number that is not rational?
What is a real number that is not rational?
Signup and view all the answers
What are the numbers {..., -3, -2, -1, 0, 1, 2, 3, ...} called?
What are the numbers {..., -3, -2, -1, 0, 1, 2, 3, ...} called?
Signup and view all the answers
What is the set of whole numbers including zero?
What is the set of whole numbers including zero?
Signup and view all the answers
What is the set of natural numbers?
What is the set of natural numbers?
Signup and view all the answers
What do you call a mathematical sentence containing one or more variables?
What do you call a mathematical sentence containing one or more variables?
Signup and view all the answers
What is a mathematical sentence stating that two mathematical expressions are equal?
What is a mathematical sentence stating that two mathematical expressions are equal?
Signup and view all the answers
What is a replacement for the variable in an open sentence that results in a true sentence?
What is a replacement for the variable in an open sentence that results in a true sentence?
Signup and view all the answers
What represents a number's distance from zero on the number line?
What represents a number's distance from zero on the number line?
Signup and view all the answers
What symbolizes the solution set for an equation that has no solution?
What symbolizes the solution set for an equation that has no solution?
Signup and view all the answers
What is a number that does not satisfy the original equation called?
What is a number that does not satisfy the original equation called?
Signup and view all the answers
What is the expression of the solution set of an inequality?
What is the expression of the solution set of an inequality?
Signup and view all the answers
What do you call two inequalities joined by the word 'and' or 'or'?
What do you call two inequalities joined by the word 'and' or 'or'?
Signup and view all the answers
What is the graph of a compound inequality containing 'and' called?
What is the graph of a compound inequality containing 'and' called?
Signup and view all the answers
What is the graph of a compound inequality containing 'or' called?
What is the graph of a compound inequality containing 'or' called?
Signup and view all the answers
Study Notes
Key Terms in Algebra II
-
Variables: Symbols representing unknown quantities, commonly letters.
-
Algebraic Expressions: Expressions that include at least one variable, demonstrating mathematical relationships.
-
Order of Operations: A sequence to solve expressions:
- Evaluate expressions in grouping symbols first.
- Then, calculate powers.
- Follow with multiplication or division from left to right.
- Lastly, perform addition or subtraction from left to right.
-
Formula: A mathematical equation that describes the relationship between different quantities.
-
Real Numbers: All numbers utilized in everyday calculations, inclusive of both rational and irrational numbers.
-
Rational Numbers: Any number that can be expressed as a fraction (m/n) where m and n are integers, with n not zero. Their decimal forms are either terminating or repeating.
-
Irrational Numbers: Real numbers that cannot be expressed as fractions; their decimal expansions are non-terminating and non-repeating.
-
Integers: Whole numbers that can be positive, negative, or zero.
-
Whole Numbers: The set of non-negative integers: {0, 1, 2, 3, 4,...}.
-
Natural Numbers: The set of positive integers: {1, 2, 3, 4, 5,...}.
-
Open Sequence: A mathematical sentence that includes one or more variables.
-
Equation: A mathematical statement asserting that two expressions are equal.
-
Solution: A replacement for a variable in an open sentence that results in a true statement.
-
Absolute Value: The distance of a number from zero on the number line, denoted as |x|.
-
Empty Set: Represents a solution set for equations without solutions, indicated by {} or the symbol for empty set (⊘).
-
Extraneous Solution: A solution that does not fulfill the original equation.
-
Set-builder Notation: A way to describe solution sets of inequalities, illustrated as {x | x > 9}.
-
Compound Inequality: A combination of two inequalities connected by "and" or "or".
-
Intersection: The graphical representation of compound inequalities using "and".
-
Union: The graphical representation of compound inequalities using "or".
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of key terms in Chapter 1 of Glencoe McGraw-Hill Algebra 2, focusing on equations and inequalities. This quiz covers essential vocabulary, including variables, algebraic expressions, and the order of operations, to enhance your algebra skills.
