Word Problems

Front

What is a word problem?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the reader to extract relevant information and formulate a mathematical equation to find a solution.

Front

How do you define consecutive numbers?

Back

Consecutive numbers are numbers that follow each other in order, without any gaps. For example, 1, 2, 3 are consecutive numbers.

Front

What are consecutive odd integers?

Back

Consecutive odd integers are odd numbers that follow each other in order. For example, 1, 3, 5 are consecutive odd integers.

Front

How do you set up an equation for two numbers where one is twice the other?

Back

Let the smaller number be x. Then the larger number is 2x. The equation can be set up as x + 2x = sum of the two numbers.

Front

What is the formula to find the sum of three consecutive numbers?

Back

If the smallest number is x, then the three consecutive numbers can be expressed as x, x+1, and x+2. The sum is x + (x+1) + (x+2) = 3x + 3.

Front

How do you solve for two numbers when given their sum and a relationship between them?

Back

Set up two equations based on the information given. For example, if the larger number is 4 more than the smaller, you can express it as: larger = smaller + 4 and then use the sum equation.

Front

What is the relationship between the sum of two numbers and their individual values?

Back

The sum of two numbers is equal to the total when both numbers are added together. If one number is expressed in terms of the other, you can substitute to find their values.

Front

How do you find three consecutive odd integers given their sum?

Back

Let the smallest odd integer be x. The next two would be x+2 and x+4. Set up the equation: x + (x+2) + (x+4) = sum.

Front

What is the process for solving a word problem involving two numbers?

Back

1. Read the problem carefully. 2. Identify the variables. 3. Set up equations based on the relationships described. 4. Solve the equations.

Front

What does it mean if one number is 'seven less than three times' another number?

Back

If the smaller number is x, then the larger number can be expressed as 3x - 7.