Algebra II Vocabulary Flashcards

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Questions and Answers

What is the opposite of a number b?

-b (correct)

b + 1

What is the reciprocal of a nonzero number n?

n^2

1/n (correct)

What is a numerical expression?

An expression that consists of numbers, operations, and symbols.

What is a power in mathematics?

An expression that represents repeated multiplication of the same factor. Signup and view all the answers

What does an exponent represent?

The number or variable that represents the number of times the base of a power is used as a factor. Signup and view all the answers

What is the base of a power?

The number or expression that is used as a factor in a repeated multiplication. Signup and view all the answers

What is a variable?

A letter that is used to represent one or more numbers. Signup and view all the answers

What is an algebraic expression?

An expression that consists of numbers, variables, operations, and grouping symbols. Signup and view all the answers

What is a term in an expression?

The parts added together in an expression that can be written as a sum. Signup and view all the answers

What is a variable term?

A term that has a variable part. Signup and view all the answers

What is a constant term?

A term that has no variable part. Signup and view all the answers

What is a coefficient?

The number that is a product of a number and a power of a variable. Signup and view all the answers

What are like terms?

Terms that have the same variable parts. Signup and view all the answers

What are equivalent expressions?

Two algebraic expressions that have the same value for all values of their variables. Signup and view all the answers

What is an identity in mathematics?

A statement that equates two equivalent expressions. Signup and view all the answers

What is an equation?

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

What is a linear equation?

An equation that can be written in the form ax + b = 0 where a and b are constants and a is not equal to 0. Signup and view all the answers

What is the solution of an equation?

A number that, when substituted for the variable, results in a true statement. Signup and view all the answers

What are equivalent equations?

Two equations that have the same solution. Signup and view all the answers

What is a formula?

An equation that relates two or more quantities, usually represented by variables. Signup and view all the answers

What does it mean to solve for a variable?

To rewrite an equation as an equivalent equation in which the variable is on one side and does not appear on the other side. Signup and view all the answers

What is a verbal model?

A word equation that represents a real-life problem. Signup and view all the answers

What is a linear inequality?

A linear inequality in one variable can be written in a certain form where a and b are real numbers and a does not equal 0. Signup and view all the answers

What is the solution of an inequality?

A value that, when substituted for the variable, results in a true statement. Signup and view all the answers

What is the graph of an inequality?

The graph consists of all points on a number line that represent solutions. Signup and view all the answers

What is a compound inequality?

It consists of two simple inequalities joined by 'and' or 'or'. Signup and view all the answers

What are equivalent inequalities?

Using transformations to isolate the variable produces equivalent inequalities. Signup and view all the answers

What is absolute value?

The distance a number is from 0 on a number line, written |X|. Signup and view all the answers

What are extraneous solutions?

An apparent solution that must be rejected because it does not satisfy the original equation. Signup and view all the answers

Study Notes

Algebra II Vocabulary

Opposite: The additive inverse of a number b is -b, which means that adding a number to its opposite results in zero.
Reciprocal: The multiplicative inverse of any nonzero number n is 1/n, meaning multiplying a number by its reciprocal yields one.
Numerical Expression: A combination of numbers, operations (like addition or multiplication), and symbols, devoid of variables.
Power: Refers to repeated multiplication of the same factor, typically expressed in the format of a base raised to an exponent.
Exponent: Represents how many times the base number is multiplied by itself in a power expression.
Base: The number or expression that is subjected to exponentiation in a power expression.
Variable: A symbol, often a letter, that denotes one or more numbers within an expression or equation.
Algebraic Expression: Comprises numbers, variables, operations, and grouping symbols, also known as variable expressions.
Term: A component of an expression summed together; each part in algebraic expressions can be considered a term.
Variable Term: A term that consists of a variable part, indicating that it includes an unknown value.
Constant Term: A term devoid of any variable; it represents a fixed value.
Coefficient: The numerical factor in a term that includes both a number and a power of a variable.
Like Terms: Terms that share the same variable parts, allowing them to be combined in operations.
Equivalent Expressions: These expressions hold the same value for all variable inputs, indicating balance between them.
Identity: A mathematical statement that says two expressions are equivalent.
Equation: A formal declaration that two expressions equate to one another.
Linear Equation: An equation involving one variable expressed in the form ax + b = 0, where a and b are constants, and a ≠ 0.
Solution of an Equation: A specific value that, when substituted into an equation, yields a true statement.
Equivalent Equations: Two equations that share the same solutions; they reveal the same relationships among variables.
Formula: Represents a mathematical relationship between two or more quantities, typically using variables.
Solve for a Variable: The process of reorganizing an equation so that the variable stands alone on one side.
Verbal Model: A descriptive equation that conveys a real-life scenario or problem through words.
Linear Inequality: An inequality that can be expressed in forms like ax + b < 0, where a and b are real numbers, and a ≠ 0.
Solution of Inequality: A value that, when placed into an inequality, results in a true statement.
Graph of an Inequality: A visual representation on a number line showing all potential solutions to an inequality.
Compound Inequality: Composes of two simple inequalities linked through "and" or "or," used to express a range of solutions.
Equivalent Inequalities: In solving linear inequalities, transformations are applied to isolate variables while maintaining the same solution set.
Absolute Value: Denoted by |X|, it quantifies the distance of a number X from zero on a number line, always resulting in a non-negative value.
Extraneous Solutions: Solutions that appear valid upon computation but actually do not satisfy the original equation, requiring rejection.

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Enhance your understanding of Algebra II with this vocabulary flashcard quiz. Each card features a key term, its definition, and examples to help you grasp essential concepts. Perfect for students looking to improve their algebra skills.