Consecutive Interger/Perimeter Word Problem review

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What are consecutive integers?

Back

Consecutive integers are integers that follow each other in order, without any gaps. For example, -2, -1, 0, 1, 2 are consecutive integers.

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How do you represent two consecutive integers algebraically?

Back

Two consecutive integers can be represented as n and n+1, where n is any integer.

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What is the sum of two consecutive integers n and n+1?

Back

The sum of two consecutive integers n and n+1 is 2n + 1.

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How do you find the sum of three consecutive integers?

Back

Three consecutive integers can be represented as n, n+1, and n+2. Their sum is 3n + 3.

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

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The sum of four consecutive integers n, n+1, n+2, and n+3 is 4n + 6.

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

Back

Identify the first integer as n, then express the subsequent integers in terms of n, and set up an equation based on the problem's conditions.

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What is the relationship between the smallest and largest of three consecutive integers?

Back

For three consecutive integers n, n+1, and n+2, the largest integer is always 2 more than the smallest integer.

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

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Translate the problem into an algebraic equation, isolate the variable, and solve for it.

Front

What does the term 'perimeter' refer to in geometry?

Back

Perimeter is the total distance around a two-dimensional shape, calculated by adding the lengths of all its sides.

Front

How do you calculate the perimeter of a rectangle?

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The perimeter of a rectangle is calculated using the formula P = 2(length + width).