Translating Expressions and Equations

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

Define a variable in the context of algebra.

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions and equations.

Front

What does it mean to translate a verbal expression into an algebraic expression?

Back

It means to convert a written description of a mathematical relationship into a mathematical expression using numbers and variables.

Front

Translate the phrase 'the sum of a number and five' into an algebraic expression.

Back

x + 5, where x represents the unknown number.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression does not include an equality sign.

Front

Translate the phrase 'three times a number decreased by two' into an algebraic expression.

Back

3x - 2, where x represents the unknown number.

Front

What does 'the product of a number and six' mean in algebra?

Back

It means to multiply the unknown number by six, represented as 6x.

Front

How do you represent 'the difference of a number and four' in algebra?

Back

x - 4, where x is the unknown number.

Front

Translate the equation '9 + 4x = 2' into words.

Back

The sum of nine and four times a number equals two.

Front

What does it mean to solve an equation?

Back

To find the value of the variable that makes the equation true.