QuestionHW Score: $94.44 \%, 17$ of 18 3 Equations Question 15, 8.7.83 points Points: 0 of 1 Save
Write the following phrase as an algebraic expression and simplify if possible. Let $x$ represent the unknown number. Eight times the sum of a number and four
The answer is $\square$ (Simplify your answer.)

Studdy Solution

STEP 1

1. We need to translate the given phrase "Eight times the sum of a number and four" into an algebraic expression.
2. Let $x$ represent the unknown number.
3. The expression should be simplified if possible.

STEP 2

1. Identify the algebraic components described in the phrase.
2. Construct the algebraic expression based on the verbal description.
3. Simplify the expression if possible.

STEP 3

Identify the algebraic components described in the phrase.
The phrase "the sum of a number and four" translates to the expression $x + 4$ .

STEP 4

Construct the algebraic expression based on the verbal description "Eight times the sum of a number and four."
This translates to $8 \cdot (x + 4)$ .

STEP 5

Simplify the expression if possible.
Distribute the $8$ : $8 \cdot (x + 4) = 8x + 32$
The answer is $8x + 32$ .

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