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Lesson 1.1: Solving Equations

Question 16 • FL-1200330-Algebra 2 Sem 1 - Flex

Which of the following did you include in your description? Check all of the boxes that apply.

Answer
A
Let x = the smallest even integer, x + 2 = the next even integer, and x + 4 = the largest even integer.
B
Write the equation x + x + 2 + x + 4 = –78.
C
Simplify the equation as 3x + 6 = –78.
D
Solve the equation by subtracting 6 and dividing by 3 on both sides of the equation.
E
Check that the sum of the integers –28, –26, and –24 is –78.

Explanation

Let the smallest even integer be x; the next two are x + 2 and x + 4. Their sum is x + (x + 2) + (x + 4) = −78, which simplifies to 3x + 6 = −78. Subtracting 6 and dividing by 3 gives x = −28, so the integers are −28, −26, and −24; their sum is −78. Thus each listed step applies.

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