PreAlgebra Consecutive Integer Word Problems

Front

What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, without any gaps. For example, 1, 2, 3, and 4 are consecutive integers.

Front

How do you represent three consecutive integers algebraically?

Back

Let the smallest integer be x. Then the three consecutive integers can be represented as x, x+1, and x+2.

Front

What is the sum of two consecutive integers?

Back

If the first integer is x, the sum of two consecutive integers (x and x+1) is x + (x + 1) = 2x + 1.

Front

How do you find the middle integer of three consecutive integers?

Back

The middle integer can be found by taking the second integer in the sequence, which is x + 1 if the integers are x, x + 1, and x + 2.

Front

What is the formula for the sum of four consecutive odd integers?

Back

If the first odd integer is x, the sum of four consecutive odd integers is x + (x + 2) + (x + 4) + (x + 6) = 4x + 12.

Front

How do you set up an equation for a word problem involving consecutive integers?

Back

Identify the integers, define them using variables, and translate the words of the problem into a mathematical equation.

Front

What does it mean when a problem states 'three times the largest'?

Back

It means to multiply the largest integer by 3. If the largest integer is represented as x + 2, then 'three times the largest' is 3(x + 2).

Front

How do you solve for an unknown integer in a word problem?

Back

Set up an equation based on the information given, simplify it, and solve for the variable representing the unknown integer.

Front

What is the difference between consecutive even and odd integers?

Back

Consecutive even integers differ by 2 (e.g., 2, 4, 6), while consecutive odd integers also differ by 2 (e.g., 1, 3, 5).

Front

How do you find the largest of three consecutive odd integers?

Back

If the smallest is x, the largest is x + 4. You can find it by adding 4 to the smallest integer.