QUESTION IMAGE
Question
$2x + 3y + 10 - x - 2y - 4$.
- circle each expression and box each equation.
5 \t$3x$ \t$5 + 7 = 20 - 8$ \t$y + 7$ \t$5 + 10 =$ \t$35 + 14 =$
- identify the coefficients, constants, and variables in the expression $5x + 8y + 7 - 3x - y + 9$.
Response
First Problem: Simplify $2x + 3y + 10 - x - 2y - 4$
Step1: Group like terms
$(2x - x) + (3y - 2y) + (10 - 4)$
Step2: Combine like terms
$x + y + 6$
Brief Explanations
Expressions are mathematical phrases without equality signs; equations have equality signs stating two expressions are equal.
Step1: Simplify the expression first
$(5x-3x)+(8y-y)+(7+9) = 2x + 7y + 16$
Step2: Define each component
- Variables: Symbols representing unknown values
- Coefficients: Numbers multiplied by variables
- Constants: Numbers without variables
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$x + y + 6$
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