Answered

Find the best solutions to your problems with the help of IDNLearn.com. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.

Drag the tiles to the boxes to form correct pairs. Match the pairs of equivalent expressions.

[tex]\[
\begin{array}{l}
\left(-14+\frac{3}{2} b\right)-\left(1+\frac{8}{2} b\right) \\
4 b+\frac{13}{2} \\
(5+2 b)+\left(2 b+\frac{3}{2}\right) \\
8 b-15 \\
\left(\frac{7}{2} b-3\right)-(8+6 b) \\
\frac{-5}{2} b-11 \\
(-10+b)+(7 b-5) \\
-15-\frac{5}{2} b \\
\end{array}
\][/tex]

[tex]\[
\begin{array}{l}
\square \longleftrightarrow \square \\
\square \longleftrightarrow \square \\
\square \longleftrightarrow \square \\
\square \longleftrightarrow \square \\
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
Sure, let's match the pairs of equivalent expressions by pairing each given expression with its simplified form.

1. [tex]\(\left(-14 + \frac{3}{2} b\right) - \left(1 + \frac{8}{2} b\right)\)[/tex]

Simplified form: [tex]\(-2.5b - 15\)[/tex]

2. [tex]\(4b + \frac{13}{2}\)[/tex]

Simplified form: [tex]\(4b + 6.5\)[/tex]

3. [tex]\((5 + 2b) + \left(2b + \frac{3}{2}\right)\)[/tex]

Simplified form: [tex]\(4b + 6.5\)[/tex]

4. [tex]\(8b - 15\)[/tex]

Simplified form: [tex]\(8b - 15\)[/tex]

5. [tex]\(\left(\frac{7}{2}b - 3\right) - (8 + 6b)\)[/tex]

Simplified form: [tex]\(-2.5b - 11\)[/tex]

6. [tex]\(\frac{-5}{2}b - 11\)[/tex]

Simplified form: [tex]\(-2.5b - 11\)[/tex]

7. [tex]\((-10 + b) + (7b - 5)\)[/tex]

Simplified form: [tex]\(8b - 15\)[/tex]

8. [tex]\(-15 - \frac{5}{2}b\)[/tex]

Simplified form: [tex]\(-2.5b - 15\)[/tex]

Now, matching the pairs of equivalent expressions, we get:

- [tex]\( \left(-14 + \frac{3}{2} b\right) - \left(1 + \frac{8}{2} b\right) \longleftrightarrow -2.5b - 15 \)[/tex]
- [tex]\( 4b + \frac{13}{2} \longleftrightarrow 4b + 6.5 \)[/tex]
- [tex]\( (5 + 2b) + \left(2b + \frac{3}{2}\right) \longleftrightarrow 4b + 6.5 \)[/tex]
- [tex]\( 8b - 15 \longleftrightarrow 8b - 15 \)[/tex]
- [tex]\( \left(\frac{7}{2}b - 3\right) - (8 + 6b) \longleftrightarrow -2.5b - 11 \)[/tex]
- [tex]\( \frac{-5}{2}b - 11 \longleftrightarrow -2.5b - 11 \)[/tex]
- [tex]\( (-10 + b) + (7b - 5) \longleftrightarrow 8b - 15 \)[/tex]
- [tex]\( -15 - \frac{5}{2}b \longleftrightarrow -2.5b - 15 \)[/tex]
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.