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Match each description of an algebraic expression with the symbolic form of that expression.

1. 3 terms; variables [tex]x[/tex] and [tex]y[/tex]; constant [tex]3[/tex]
2. 3 terms; variables [tex]x[/tex] and [tex]y[/tex]; constant [tex]2[/tex]
3. 2 terms; variable [tex]x[/tex]; constant [tex]4.5[/tex]
4. 2 terms; variables [tex]x[/tex] and [tex]y[/tex]

A. [tex]4.5 x + 2 - 3 y[/tex]
B. [tex]4.5 - 2 x[/tex]
C. [tex]x - 2 y + 3[/tex]
D. [tex]4.5 y - 2 x[/tex]

Sagot :

GinnyAnswer
Sure! Let's match each description of an algebraic expression with its corresponding symbolic form, step by step.

1. Description: 3 terms; variables [tex]$=x$[/tex] and [tex]$y$[/tex]; constant [tex]$=3$[/tex]

- Here, we need an expression that has exactly 3 terms, includes the variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex], and has a constant term that equals 3.
- Matching Expression: [tex]\( x - 2y + 3 \)[/tex]

2. Description: 3 terms; variables [tex]$=x$[/tex] and [tex]$y$[/tex]; constant [tex]$=2$[/tex]

- Here, we need an expression that also has exactly 3 terms, includes the variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex], and has a constant term that equals 2.
- Matching Expression: [tex]\( 4.5x + 2 - 3y \)[/tex]

3. Description: 2 terms; variable [tex]$=x$[/tex], constant [tex]$=4.5$[/tex]

- Here, we need an expression that has exactly 2 terms, includes the variable [tex]\( x \)[/tex], and has a constant term that equals 4.5.
- Matching Expression: [tex]\( 4.5 - 2x \)[/tex]

4. Description: 2 terms; variables [tex]$=x$[/tex] and [tex]$y$[/tex]

- Here, we need an expression that has exactly 2 terms and includes both variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
- Matching Expression: [tex]\( 4.5y - 2x \)[/tex]

So, the final matches are:

- 3 terms; variables [tex]$=x$[/tex] and [tex]$y$[/tex]; constant [tex]$=3$[/tex] : [tex]\( x - 2y + 3 \)[/tex]
- 3 terms; variables [tex]$=x$[/tex] and [tex]$y$[/tex]; constant [tex]$=2$[/tex] : [tex]\( 4.5x + 2 - 3y \)[/tex]
- 2 terms; variable [tex]$=x$[/tex], constant [tex]$=4.5$[/tex] : [tex]\( 4.5 - 2x \)[/tex]
- 2 terms; variables [tex]$=x$[/tex] and [tex]$y$[/tex] : [tex]\( 4.5y - 2x \)[/tex]
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