consecutive integer word problems

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What are consecutive integers?

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

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How do you represent two consecutive integers algebraically?

Back

Let the first integer be 'x'. The second consecutive integer can be represented as 'x + 1'.

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What is the sum of two consecutive integers?

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

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How do you represent three consecutive integers algebraically?

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Let the first integer be 'x'. The second is 'x + 1', and the third is 'x + 2'.

Front

What is the sum of three consecutive integers?

Back

The sum of three consecutive integers 'x', 'x + 1', and 'x + 2' is 'x + (x + 1) + (x + 2) = 3x + 3'.

Front

What are consecutive even integers?

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

Front

How do you represent two consecutive even integers algebraically?

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Let the first even integer be 'x'. The second consecutive even integer can be represented as 'x + 2'.

Front

What is the sum of three consecutive even integers?

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The sum of three consecutive even integers 'x', 'x + 2', and 'x + 4' is 'x + (x + 2) + (x + 4) = 3x + 6'.

Front

If the sum of three consecutive integers is 84, how do you find them?

Back

Let the first integer be 'x'. Then, the integers are 'x', 'x + 1', and 'x + 2'. Set up the equation: x + (x + 1) + (x + 2) = 84.

Front

What is the relationship between consecutive integers in word problems?

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In word problems, consecutive integers often relate to each other through addition, subtraction, or multiplication, forming equations to solve.