Expressions with Variables

Front

What is a variable in mathematics?

Back

A variable is a symbol, often represented by a letter, that stands for a number that can change or vary.

Front

What is an expression in mathematics?

Back

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

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

Front

What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that asserts the equality of two expressions, while an expression does not include an equality sign.

Front

How do you solve an equation with one variable?

Back

To solve an equation with one variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the purpose of using variables in equations?

Back

Variables allow us to represent unknown values and formulate general rules or relationships in mathematics.

Front

Can an equation have more than one variable?

Back

Yes, an equation can have multiple variables, each representing different unknown values.

Front

What is the process of substituting a variable in an equation?

Back

Substituting a variable involves replacing the variable with a specific value to simplify or solve the equation.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

How do you check if your solution to an equation is correct?

Back

To check if your solution is correct, substitute the solution back into the original equation and verify if both sides are equal.