totally a math flashcard...

Front

What is the basic principle of mathematical reasoning?

Back

Mathematical reasoning involves using logical thinking to solve problems, make deductions, and understand relationships between numbers and concepts.

Front

Define the term 'variable' in mathematics.

Back

A variable is a symbol used to represent an unknown value in mathematical expressions and equations.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

Explain the concept of 'function' in mathematics.

Back

A function is a relation between a set of inputs and a set of possible outputs, where each input is related to exactly one output.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the difference between a linear equation and a quadratic equation?

Back

A linear equation is an equation of the first degree, which means it has no exponents greater than one, while a quadratic equation is of the second degree, typically in the form ax^2 + bx + c = 0.

Front

Define 'algebraic expression'.

Back

An algebraic expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is the purpose of simplifying an expression?

Back

Simplifying an expression makes it easier to work with by reducing it to its most basic form, which can help in solving equations or performing calculations.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

Explain the concept of 'proportion' in mathematics.

Back

A proportion is an equation that states that two ratios are equal, often used to solve problems involving scaling or comparing quantities.