Translating Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does 'the product of four and a number' mean in algebraic terms?

Back

It means to multiply four by a variable, typically represented as 4n, where n is the number.

Front

How do you express 'twice the sum of a number and four' in algebraic form?

Back

It is expressed as 2(n + 4).

Front

What does 'm plus the product of 6 and n' translate to in algebra?

Back

It translates to m + 6n.

Front

How is 'twice a number t, squared' represented algebraically?

Back

It is represented as 2t^2.

Front

Translate 'twelve less than a number' into an algebraic expression.

Back

It translates to x - 12.

Front

What is the difference between a variable and a constant in algebra?

Back

A variable is a symbol (like x or n) that represents an unknown value, while a constant is a fixed value (like 4 or 12).

Front

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

Back

It means to convert a word problem or phrase into a mathematical equation or expression.

Front

What is the algebraic expression for 'the sum of a number n and 10'?

Back

It is n + 10.

Front

How do you express 'three times a number x decreased by 5'?

Back

It is expressed as 3x - 5.