Swallen91idn
Answered

IDNLearn.com provides a collaborative environment for finding and sharing answers. Find in-depth and trustworthy answers to all your questions from our experienced community members.

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 :

GinnyAnsweridn
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]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.