High School

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Write the sentence as an equation.

344 times q is equal to 208.

a) Variable: q
b) Equation: 344q = 208

c) Variable: x
d) Equation: 344x = 208

Answer :

Final answer:

To satisfy the given statement, select a variable such as 'q' or 'x' and write the equation 344 multiplied by the variable equals 208, resulting in the equation 344q = 208 or 344x = 208.

Explanation:

The task is to create a variable and an equation based on the statement given. When we construct an equation from a word problem, we're essentially translating the given information into mathematical language.

The first step is to choose a variable to represent the unknown quantity. In this case, the question has provided us with two options for variables: 'q' or 'x'. It doesn't matter which one we choose, as they are just placeholders, but we must be consistent once a variable is chosen.

Next, we want to translate the statement "344 times q is equal to 208" into an algebraic equation. This is done by understanding that "times" corresponds to multiplication and "is equal to" corresponds to the equals sign ('=').

Thus, the equation is:
344q = 208 or 344x = 208 if we chose to use 'x' as our variable.

Remember:

Equations are precise ways to express concepts, and they allow us to solve for unknown values by applying algebra.

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