ronaldoedp445
Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

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

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

Sagot :

GinnyAnswer
Let's match each given description of an algebraic expression with the correct symbolic form step by step:

### Description 1:
2 terms; variable [tex]\(x\)[/tex], constant [tex]\(4.5\)[/tex]

To satisfy this description, we need an expression that has exactly two terms: one term involving the variable [tex]\(x\)[/tex] and one term that is a constant [tex]\(4.5\)[/tex].

Based on the given options:
- [tex]\( 4.5 - 2x \)[/tex]: This expression has two terms: [tex]\( 4.5 \)[/tex] (constant) and [tex]\( -2x \)[/tex] (term involving [tex]\(x\)[/tex]).

Thus, the matching expression is:

[tex]\[ \boxed{4.5 - 2x} \][/tex]

### Description 2:
2 terms; variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]

To satisfy this description, the expression should contain two terms involving the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex].

Based on the given options:
- None of the given expressions directly fit this description because they all have additional constants or more terms.

Thus, the matching expression is:

[tex]\[ \boxed{\text{Unable to determine with given data}} \][/tex]

### Description 3:
3 terms; variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]; constant [tex]\(3\)[/tex]

To satisfy this description, the expression should contain exactly three terms: two terms involving the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex], and one term that is a constant [tex]\(3\)[/tex].

Based on the given options:
- [tex]\( x - 2y + 3 \)[/tex]: This expression has three terms: [tex]\( x \)[/tex] (term involving [tex]\(x\)[/tex]), [tex]\( -2y \)[/tex] (term involving [tex]\(y\)[/tex]), and [tex]\( +3 \)[/tex] (constant term).

Thus, the matching expression is:

[tex]\[ \boxed{x - 2y + 3} \][/tex]

### Description 4:
3 terms; variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex]; constant [tex]\(2\)[/tex]

To satisfy this description, the expression should contain exactly three terms: two terms involving the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex], and one term that is a constant [tex]\(2\)[/tex].

Based on the given options:
- [tex]\( 4.5x + 2 - 3y \)[/tex]: This expression has three terms: [tex]\( 4.5x \)[/tex] (term involving [tex]\(x\)[/tex]), [tex]\( -3y \)[/tex] (term involving [tex]\(y\)[/tex]), and [tex]\( +2 \)[/tex] (constant term).

Thus, the matching expression is:

[tex]\[ \boxed{4.5x + 2 - 3y} \][/tex]

So, the final matching expressions are:
1. [tex]\( 2 \)[/tex] terms; variable [tex]\( x \)[/tex], constant [tex]\( 4.5 \)[/tex]: [tex]\( 4.5 - 2x \)[/tex]
2. [tex]\( 2 \)[/tex] terms; variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex]: Unable to determine with given data
3. [tex]\( 3 \)[/tex] terms; variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex]; constant [tex]\( 3 \)[/tex]: [tex]\( x - 2y + 3 \)[/tex]
4. [tex]\( 3 \)[/tex] terms; variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex]; constant [tex]\( 2 \)[/tex]: [tex]\( 4.5x + 2 - 3y \)[/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.