Algebraic Reasoning Flashcards

Questions and Answers

What is an Algebraic Expression?

An equation with equal sides

An expression that contains more than one variable (correct)

An expression that contains only numbers

A mathematical sentence that is always true

What does it mean to isolate the variable?

To get a variable alone on one side of the equation or inequality.

What is a solution in algebra?

A value or values that make an algebraic expression true.

What does substitution mean in algebra?

To replace a variable with a number or another expression in an algebraic expression. Signup and view all the answers

What are operations in mathematics?

A mathematical process. Signup and view all the answers

What is a coefficient?

A number that is multiplied by the variable in an algebraic expression. Signup and view all the answers

What is a variable?

A symbol that is used to represent a quantity that can change. Signup and view all the answers

What is an inequality?

A mathematical sentence that shows the relationship between quantities that are not equivalent. Signup and view all the answers

Less Than means bigger.

False Signup and view all the answers

Greater Than means smaller.

False Signup and view all the answers

Study Notes

Algebraic Expressions and Definitions

An Algebraic Expression involves multiple variables, showcasing relationships between them.
To Isolate the Variable means to rearrange an equation, placing a variable alone on one side for simplification and solving purposes.
A Solution consists of values that validate an algebraic expression, fulfilling the equation's requirements.

Substitution and Mathematical Operations

Substitution is the process of replacing a variable in an expression with a specific number or another expression, aiding in computation.
Operations refer to various mathematical processes such as addition, subtraction, multiplication, and division.

Coefficients and Variables

A Coefficient is a numerical factor that multiplies a variable, defining its influence in an algebraic expression.
A Variable is a symbol representing a quantity that can change, commonly denoted by letters like x or y.

Understanding Inequalities

An Inequality is a mathematical statement showing the relationship between non-equivalent quantities, indicating one is greater or less than the other.
Less Than signifies a value smaller than another, while Greater Than indicates a larger value. Both terms are essential in expressing comparative relationships.

Description

Test your knowledge of algebraic expressions and concepts with these flashcards. Each card features a key term related to algebraic reasoning, along with its definition. Perfect for students looking to reinforce their understanding of algebraic principles.