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Translate the statement into an equation. Let $x$ represent the number. $37$ is $7$ less than double a number.

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Theoretical probability

Full solution

Q. Translate the statement into an equation. Let

x

represent the number.

37

is

7

less than double a number.

Define variable x: Let's define the variable x to represent the unknown number. The statement ＂ $37$ is $7$ less than double a number＂ suggests that if we take double the number (which is $2$ times $x$ ) and subtract $7$ from it, we should get $37$ . We can write this relationship as an equation. $\newline$ Calculation: $2x - 7 = 37$
Write equation: Now, let's check the equation for any mathematical errors by plugging in a value for $x$ that would make the equation true. If we let $x = 22$ , then the left side of the equation would be $2(22) - 7$ , which equals $44 - 7$ , and that equals $37$ , which is the same as the right side of the equation. This check is just to ensure that our equation is set up correctly. $\newline$ Calculation: $2(22) - 7 = 44 - 7 = 37$

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