5th Grade Algebra Flashcards

Questions and Answers

What is the definition of 'Variable'?

A letter used to represent one or more numbers (correct)

An expression that has only numbers and signs

A type of math that uses numbers, operation signs, and variables

A mathematical phrase that contains operations, numbers, and/or variables

What best describes 'Expression'?

A mathematical phrase that contains operations, numbers, and/or variables (correct)

A letter used to represent one or more numbers

A number sentence that shows that two quantities are equal

An expression that has only numbers and signs

What is 'Algebra'?

An expression that has only numbers and signs

A letter used to represent one or more numbers

An expression with a variable, numbers, and operation signs

A type of math that uses numbers, operation signs, and variables (correct)

What is the definition of 'Numerical Expression'?

An expression that has only numbers and signs Signup and view all the answers

What defines an 'Algebraic Expression'?

An expression with a variable, numbers, and operation signs Signup and view all the answers

What is an 'Equation'?

A number sentence that shows that two quantities are equal Signup and view all the answers

What is an 'Inverse Operation'?

Opposite operation Signup and view all the answers

What does it mean to 'Isolate Variable'?

Use the opposite operation to get the variable alone on one side of the equation Signup and view all the answers

What are 'Operations'?

Addition, subtraction, multiplication, division Signup and view all the answers

What does 'Addition' refer to?

Sum, total of, increase, in all Signup and view all the answers

What does 'Subtraction' imply?

Less than, reduce, left, decreased Signup and view all the answers

What is 'Multiplication'?

Product, each, by, times, twice Signup and view all the answers

What does 'Division' entail?

Quotient, average, into, equally, split, per, a Signup and view all the answers

Study Notes

Key Algebra Concepts

Variable: A letter that stands in for one or more numbers in mathematical expressions.
Expression: A mathematical phrase that includes numbers, operations, and/or variables without an equality sign.
Algebra: A branch of mathematics that combines numbers, operation symbols, and variables to solve problems.

Types of Expressions

Numerical Expression: Consists solely of numbers and operation signs, with no variables involved.
Algebraic Expression: Includes at least one variable, along with numbers and operation signs, allowing for more complex computations.

Fundamental Algebraic Structures

Equation: A mathematical statement indicating that two expressions are equivalent, represented with an equality sign.
Inverse Operation: A mathematical operation that reverses the effect of another (e.g., addition and subtraction).

Techniques in Algebra

Isolate Variable: The process of using inverse operations to manipulate an equation until the variable is alone on one side, facilitating the solution.

Operations in Algebra

Operations: The primary mathematical actions: addition, subtraction, multiplication, and division.
Addition: Concerns the total of two or more numbers, often described with terms like "sum" or "increase".
Subtraction: Involves finding the difference between numbers, commonly using terms like "less than" or "reduce".
Multiplication: Refers to the repeated addition of a number, expressed with terms like "product", "times", and "each".
Division: Represents the separation of a number into equal parts, associated with terms such as "quotient" and "split".

Description

These flashcards cover essential algebra concepts for 5th graders, including definitions of key terms like variable, expression, and algebra itself. Use them to reinforce your understanding of mathematical language and operations. Perfect for quick revision or study sessions!