Translating into Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

How do you represent a number in algebra?

Back

A number can be represented by a variable, commonly denoted as x, y, or n.

Front

What does 'the difference of a number and 7' mean in algebraic terms?

Back

It means to subtract 7 from the number, represented as x - 7.

Front

How do you translate '125 subtracted from a number' into an algebraic expression?

Back

It is translated as n - 125, where n represents the unknown number.

Front

What does 'three times x increased by eight' mean in algebraic terms?

Back

It means to multiply x by 3 and then add 8, represented as 3x + 8.

Front

How do you express '8 less than the product of 4 and a number' using the variable m?

Back

It is expressed as 4m - 8.

Front

What does 'a number more than 12' translate to in algebraic terms?

Back

It translates to 12 + n, where n is the unknown number.

Front

What is the importance of using variables in algebraic expressions?

Back

Variables allow us to represent unknown values and formulate general mathematical statements.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.

Front

How do you identify the operation in a phrase like 'increased by'?

Back

The phrase 'increased by' indicates addition in algebraic expressions.