Period 6/7 PreAl 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 two consecutive integers algebraically?

Back

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

Front

What is the sum of two consecutive integers represented algebraically?

Back

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

Front

How do you find the smallest of two consecutive integers if their sum is known?

Back

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

Front

What are consecutive even integers?

Back

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

Front

How do you represent four consecutive even integers algebraically?

Back

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.

Front

What is the sum of four consecutive even integers represented algebraically?

Back

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

Front

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

Back

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.

Front

What is the equation to find three consecutive even integers if their sum is known?

Back

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

Front

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

Back

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