Write each English phrase as an algebraic expression. Then simplify the expression. Let x represent the number. A number decreased by the sum of the number and four

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Edward Belanger · Accepted Answer

The number is decreased (subtracted) by the sum of the number and 4 (addition).  x-(x+4)  =-4  Result:  -4

Eliza Beth13 · Accepted Answer

Result: −4Solution:To write the English phrase &#039;&#039;A number decreased by the sum of the number and four&#039;&#039; as an algebraic expression, we can break it down into smaller parts.Let&#039;s start by assigning a variable to represent the number. In this case, let&#039;s use x as the variable.The phrase &#039;&#039;A number decreased&#039;&#039; indicates that we need to subtract something from the number.The next part of the phrase is &#039;&#039;the sum of the number and four.&#039;&#039; This means we need to add the number and four together.To summarize, the expression can be written as x decreased by the sum of x and four.To represent the phrase as an algebraic expression, we can use the following steps:1. Start with the variable x.2. Add four to x to get the sum of x and four: x+4.3. Subtract the sum of x and four from x: x−(x+4).To simplify the expression, we can use the distributive property:x−(x+4)=x−x−4=−4.Therefore, the simplified expression is −4.

Mr Solver · Accepted Answer

Step 1:Let&#039;s start by assigning a variable to the number. We&#039;ll use x to represent the number.The phrase &#039;&#039;A number decreased&#039;&#039; implies subtraction, so we have x−….The phrase &#039;&#039;by the sum of the number and four&#039;&#039; implies we need to find the sum of x and four, and then subtract it from x. The sum of x and four can be represented as x+4.Putting it all together, the algebraic expression becomes x−(x+4).Step 2:To simplify the expression, we need to remove the parentheses using the distributive property of multiplication over addition/subtraction.x−(x+4)=x−x−4The x terms in the parentheses cancel each other out, leaving us with −4.Thus, the simplified expression is −4.

madeleinejames20 · Accepted Answer

1. Let&#039;s first define the variable x to represent the number.2. The phrase &#039;&#039;A number decreased by the sum of the number and four&#039;&#039; can be translated into an algebraic expression as follows:x−(x+4)To simplify this expression, we can perform the subtraction:x−x−4Simplifying further, we can combine like terms:−4Therefore, the simplified expression is −4.

Write each English phrase as an algebraic expression. Then simplify

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