Writing Algebraic Expressions from Word Problems

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

What does the term 'variable' mean in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

What is a 'constant' in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, the number 5 is a constant.

Front

How do you write an expression for 'a number increased by 7'?

Back

The expression is x + 7, where x represents the unknown number.

Front

What does 'twice a number' mean in algebra?

Back

'Twice a number' means to multiply the number by 2. If the number is represented by x, it is written as 2x.

Front

How would you express 'the sum of a number and 10'?

Back

The expression is x + 10, where x is the unknown number.

Front

What is the expression for '5 less than a number'?

Back

The expression is x - 5, where x is the unknown number.

Front

How do you express 'the product of 4 and a number'?

Back

The expression is 4x, where x is the unknown number.

Front

What is the expression for '3 times a number decreased by 2'?

Back

The expression is 3x - 2, where x is the unknown number.

Front

How do you write 'the total cost of x cookies at $3 each plus a $2 box fee'?

Back

The expression is 3x + 2.