Algebraic Expressions and Equations Flashcards

Questions and Answers

What is a coefficient in an algebraic expression?

A number multiplied to a variable in an algebraic expression.

What is a variable in algebra?

A letter used to represent one or more numbers.

What is a constant in algebra?

A value that does not change, a number.

What is a term in an algebraic expression?

A number, a variable, or the product of a number and a variable. Signup and view all the answers

What is an algebraic expression?

A mathematical phrase that contains operations, numbers, and at least one variable. Signup and view all the answers

What is an equation?

A mathematical sentence that uses an equal sign. Signup and view all the answers

What is the product of a multiplication problem?

The answer to a multiplication problem. Signup and view all the answers

What is the sum of two numbers?

The answer to two numbers added together. Signup and view all the answers

What is the order of operations in an expression?

<ol> <li>parentheses, 2. exponents, 3. multiplication and division, 4. addition and subtraction.</li> </ol> Signup and view all the answers

What is the quotient of a division problem?

The answer to a division problem. Signup and view all the answers

What are factors in mathematics?

Numbers multiplied together. Signup and view all the answers

What is the inverse of a value?

The opposite of the value. Signup and view all the answers

What is the solution to an equation?

The answer to the equation. Signup and view all the answers

What does it mean to evaluate an expression?

To solve the expression. Signup and view all the answers

What is the reciprocal of a fraction?

A fraction flipped upside down. Signup and view all the answers

What is the Distributive Property in mathematics?

The product of the sum or difference of two numbers is the same as the sum or difference of their products. Signup and view all the answers

What is the Commutative Property in mathematics?

In addition and multiplication, the order of the terms does not change the solution. Signup and view all the answers

What is the Associative Property in mathematics?

In addition and multiplication, changing how numbers are grouped will not change the answer. Signup and view all the answers

Study Notes

Algebraic Terms and Concepts

Coefficient: A numerical factor in front of a variable within an algebraic expression.
Variable: A symbol (often a letter) that represents one or more numbers; fundamental to expressing algebraic concepts.
Constant: A fixed value that does not change, represented by a number.
Term: The basic building block of expressions; can be a number, a variable, or the product of both. Multiple terms within an expression are connected by addition or subtraction.
Algebraic Expression: A combination of numbers, variables, and operations that forms a mathematical phrase without an equality sign.
Equation: A mathematical statement asserting the equality of two expressions, always includes an equal sign.
Product: The outcome of multiplying two or more numbers together.
Sum: The result obtained when two or more numbers are added together.
Order of Operations: A set of rules (parentheses, exponents, multiplication and division, addition and subtraction) that dictates the sequence in which calculations should be performed.
Quotient: The result derived from dividing one number by another.
Factor: Numbers that are multiplied together to obtain a product.
Inverse: Refers to the opposite of a number or operation; essential for understanding operations like addition/subtraction and multiplication/division.
Solution: The final answer obtained after solving an equation or expression.
Evaluate: To find the value of an expression or equation by substituting numbers for variables and performing the operations.
Reciprocal: The inverse of a number or fraction, achieved by flipping the numerator and denominator.
Distributive Property: A principle stating that multiplying a sum or difference by a number produces the same result as multiplying each addend or subtrahend individually and then summing or subtracting.
Commutative Property: Indicates that the order of numbers in addition or multiplication does not affect the final result.
Associative Property: Suggests that the grouping of numbers in addition or multiplication does not influence the outcome of the operation.

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Description

Explore key concepts of algebraic expressions and equations through this set of flashcards. Each card features important terminology such as coefficients, variables, constants, and terms, along with their definitions. Perfect for reinforcing your understanding of foundational algebra concepts.