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 + 2 is an algebraic expression.

Front

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

Back

Translating a phrase into an algebraic expression involves converting words into mathematical symbols and operations. For example, 'three less than a number' translates to x - 3.

Front

What is the product of a number and a constant?

Back

The product of a number (variable) and a constant is represented by multiplying the variable by the constant. For example, 4 times a number x is written as 4x.

Front

How do you express 'less than' in algebraic terms?

Back

'Less than' indicates subtraction. For example, '5 less than x' is expressed as x - 5.

Front

What does 'the sum of' indicate in algebra?

Back

'The sum of' indicates addition. For example, 'the sum of y and 5' is expressed as y + 5.

Front

How do you express 'twice a number' in algebra?

Back

'Twice a number' means to multiply the number by 2. For example, 'twice x' is expressed as 2x.

Front

What is the algebraic expression for 'three less than the product of four and a number'?

Back

The expression is 4w - 3.

Front

How do you express 'the total of' in algebraic terms?

Back

'The total of' indicates addition. For example, 'the total of r and 45' is expressed as r + 45.

Front

What is the algebraic expression for '2 times the sum of y and 5'?

Back

The expression is 2(y + 5).

Front

How do you express 'increased by' in algebra?

Back

'Increased by' indicates addition. For example, '5 increased by x' is expressed as x + 5.