Period 6/7 PreAl Consecutive Integer Word Problems

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

If x is the first integer, then the second consecutive integer can be represented as x + 1.

The sum of two consecutive integers x and x + 1 is represented as x + (x + 1) = 2x + 1.

Let the sum be S. Set up the equation: 2x + 1 = S. Solve for x to find the smallest integer.

Consecutive even integers are even numbers that follow each other in order, such as 2, 4, 6, and 8.

If x is the first even integer, then the four consecutive even integers can be represented as x, x + 2, x + 4, and x + 6.

The sum of four consecutive even integers x, x + 2, x + 4, and x + 6 is represented as 4x + 12.

Let the first odd integer be x. The three consecutive odd integers can be represented as x, x + 2, and x + 4. The largest is x + 4.

Let the first even integer be x. The equation is x + (x + 2) + (x + 4) = S, where S is the known sum.

Identify the integers, define them using variables, and set up an equation based on the problem's conditions.