Write the following sentence as an equation.(B) The quotient of a number and 66 subtracted from 99 is equal to 11. Let xx be the number.

9 − x 6 = 1 9-\frac{x}{6}=1 9 − 6 x = 1

Write the following sentence as an equation. ( B ) The quotient of a number and 6 6 subtracted from 9 9 is equal to 1 1 . Let x x be the number.

we're told to write the following sentence as an equation. The sentence we're given here is the quotient of a number and six subtracted from nine is equal to one. And we're told here to let x be the number. So breaking this sentence down, we're first told here the quotient of a number and six. Now quotient represents division whenever I'm rewriting this as an equation. So the quotient of a number and six means I'm dividing a number by six, and we're letting x be the number. So this is x divided by six. Then the next part of my sentence says subtracted from nine. Now it's important here to recognize what exactly this means. Subtracted from nine means that I'm taking nine and subtracting the quotient of a number and six. If I were to instead have written this as x over six minus nine, I would be wrong. Because we're subtracting this quotient from nine indicates nine minus x divided by six. Then the next part of my of my sentence says that this is equal to one. So now I just have my equal sign and one. And I've successfully written this sentence in words now to an algebraic equation. Let us know if you have questions, and I'll see you in the next one.

Write the following sentence as an equation. ( B ) The quotient of a number and 6 6 subtracted from 9 9 is equal to 1 1 . Let x x be the number.

9 − x 6 = 1 9-\frac{x}{6}=1 9 − 6 x = 1

x 6 − 9 = 1 \frac{x}{6}-9=1 6 x − 9 = 1

x − 9 6 = 1 \frac{x-9}{6}=1 6 x − 9 = 1

9 − x 6 = 1 \frac{9-x}{6}=1 6 9 − x = 1

1. Review of Real Numbers

Translating Sentences to Equations

Intermediate Algebra

1. Review of Real Numbers

Translating Sentences to Equations

Struggling with Intermediate Algebra?

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Multiple Choice

Write the following sentence as an equation.
(B) The quotient of a number and $6$ subtracted from $9$ is equal to $1$ . Let $x$ be the number.

$\frac{x}{6}-9=1$

$9-\frac{x}{6}=1$

$\frac{x-9}{6}=1$

$\frac{9-x}{6}=1$

Verified step by step guidance

Identify the variable and the constants in the sentence. Here, let the number be represented by the variable $x$, and the constants given are 6, 9, and 1.

Translate the phrase 'The quotient of a number and 6' into a mathematical expression. The quotient means division, so this becomes $\frac{x}{6}$.

Next, interpret 'subtracted from 9'. This means 9 minus the quotient, so write this as \$9 - \frac{x}{6}$.

The sentence says this expression 'is equal to 1', so set up the equation as \$9 - \frac{x}{6} = 1$.

This equation correctly represents the sentence: the number divided by 6, subtracted from 9, equals 1.

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