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

What are consecutive even integers?

Back

Consecutive even integers are even numbers that follow each other in order. For example, 2, 4, 6, and 8 are consecutive even integers.

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How do you represent three consecutive integers algebraically?

Back

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

Front

How do you represent three consecutive even integers algebraically?

Back

Let the first even integer be x. Then the three consecutive even integers can be represented as x, x+2, and x+4.

Front

What is the equation for the sum of two consecutive integers?

Back

If the first integer is x, the equation is x + (x + 1) = sum.

Front

What is the equation for the sum of three consecutive integers?

Back

If the first integer is x, the equation is x + (x + 1) + (x + 2) = sum.

Front

What is the equation for the sum of three consecutive even integers?

Back

If the first even integer is x, the equation is x + (x + 2) + (x + 4) = sum.

Front

How do you solve for an unknown in a word problem involving consecutive integers?

Back

Translate the word problem into an algebraic equation and solve for the unknown variable.

Front

What does it mean if the problem states 'the sum of the largest and 5 times the smallest'?

Back

It means you need to add the largest integer to five times the smallest integer and set it equal to a given value.

Front

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

Back

Let the first integer be x. The second integer is x + 1. Set up the equation x + (x + 1) = sum and solve for x.