Age and Number Word Problems

Front

What is a variable in algebra?

Back

A symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

Define 'age word problem'.

Back

A type of problem that involves relationships between ages of people and requires setting up equations to solve.

Front

What does 'less than' mean in mathematical terms?

Back

It indicates subtraction; for example, '10 less than x' means x - 10.

Front

How do you express 'twice a number' mathematically?

Back

It is expressed as 2 times the number, or 2n, where n is the number.

Front

What is the equation to find a person's age if they are 5 years older than another person?

Back

If the other person's age is x, then the equation is x + 5.

Front

How do you set up an equation for 'the sum of two ages is a certain number'?

Back

If the ages are x and y, the equation is x + y = total age.

Front

What does 'three times' mean in an age problem?

Back

It means to multiply the age by 3, represented as 3n, where n is the age.

Front

If Jason is 10 less than one third of his age, how do you express this mathematically?

Back

Let Jason's age be x; the expression is (1/3)x - 10 = 0.

Front

What is the first step in solving an age word problem?

Back

Identify the variables and relationships between the ages described in the problem.

Front

How do you find the age of a person if you know their age difference with another person?

Back

Set up an equation based on the age difference and solve for the unknown age.