Question

write each word statement as an equation. use x as the variable. find all solutions from the set \\(\\{2, 12, 16, 18, 20\\}\\).

the sum of a number and 2 is 18.

the equation is \\(\square = 18\\).

Explanation:

Translate the word statement into an algebraic expression

$$ \text{"The sum of a number and 2"} \implies x + 2 $$

Form the equation

$$ x + 2 = 18 $$

Solve the equation and check against the given set

$$
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$$

Since \(16\) is in the set \(\{2, 12, 16, 18, 20\}\), the solution is \(16\).

Answer:

Write each word statement as an equation. Use x as the variable. Find all solutions from the set {2,12,16,18,20}.

The sum of a number and 2 is 18.

The equation is <blank>\(x + 2\)</blank> = 18.