Simplify the expression: 1 + -5j - 3j + 7 ____

Identify like terms: Identify like terms in the expression 1 + -5j - 3j + 7. Like terms are terms that have the same variable part. In this case, -5j and -3j are like terms because they both have the variable 'j'. The numbers 1 and 7 are also like terms because they are both constants without variables.Combine like terms: Combine the like terms -5j and -3j. To combine like terms, we add or subtract their coefficients. Here, we have -5j - 3j, which means we need to add the coefficients of 'j' together. -5j - 3j = (-5 - 3)j = -8jCombine constants: Combine the constants 1 and 7. Similarly, we combine the constants by adding them together. 1 + 7 = 8Write simplified expression: Write the simplified expression by combining the results from Step 2 and Step 3. We have -8j from Step 2 and 8 from Step 3. The simplified expression is the sum of these two results. Simplified expression: 8 - 8j

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Simplify the expression: $\newline$ $1 + -5j - 3j + 7$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

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Q. Simplify the expression:

\newline

1 + -5j - 3j + 7

Identify like terms: Identify like terms in the expression $1 + (-5j) - 3j + 7$ . Like terms are terms that have the same variable part. In this case, $-5j$ and $-3j$ are like terms because they both have the variable ' $j$ '. The numbers $1$ and $7$ are also like terms because they are both constants without variables.
Combine like terms: Combine the like terms $-5j$ and $-3j$ . To combine like terms, we add or subtract their coefficients. Here, we have $-5j - 3j$ , which means we need to add the coefficients of $j$ together. $-5j - 3j = (-5 - 3)j = -8j$
Combine constants: Combine the constants $1$ and $7$ . Similarly, we combine the constants by adding them together. $1 + 7 = 8$
Write simplified expression: Write the simplified expression by combining the results from Step $2$ and Step $3$ . $\newline$ We have $-8j$ from Step $2$ and $8$ from Step $3$ . The simplified expression is the sum of these two results. $\newline$ Simplified expression: $8 - 8j$