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. For example, 3x + 2 is an algebraic expression.

Front

What does the variable 'x' typically represent in algebraic expressions?

Back

In algebraic expressions, 'x' often represents an unknown value or quantity that we are trying to solve for.

Front

What are the parts of an algebraic expression called?

Back

The parts of an algebraic expression are called terms.

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 translate 'three times a number' into an algebraic expression?

Back

You translate 'three times a number' into an algebraic expression as 3x, where x represents the unknown number.

Front

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

Back

It means you add 7 to the number, represented as x + 7.

Front

How would you express 'twice a number decreased by 4' in algebraic form?

Back

It can be expressed as 2x - 4.

Front

What is the expression for 'the product of 5 and a number increased by 3'?

Back

The expression is 5x + 3.

Front

If a number is represented by 'y', how would you express 'y divided by 2'?

Back

It would be expressed as y/2.

Front

What does '8 less than the product of 4 and a number' translate to in algebraic terms?

Back

It translates to 4m - 8, where m is the unknown number.