Answered

Discover how IDNLearn.com can help you learn and grow with its extensive Q&A platform. Discover in-depth answers from knowledgeable professionals, providing you with the information you need.

Fill in the missing justifications in the correct order.

[tex]\[
\begin{tabular}{|l|l|}
\hline Mathematical Statement & \multicolumn{1}{|c|}{ Justification } \\
\hline $4x + 3 = x + 5 - 2x$ & Given \\
\hline $4x + 3 = x - 2x + 5$ & Commutative Property of Addition \\
\hline $4x + 3 = -x + 5$ & Combine Like Terms \\
\hline $5x + 3 = 5$ & Addition Property of Equality \\
\hline $5x = 2$ & Subtraction Property of Equality \\
\hline $x = \frac{2}{5}$ & Division Property of Equality \\
\hline
\end{tabular}
\][/tex]

Options:
A. Combine Like Terms; Subtraction Property of Equality; Addition Property of Equality; Division Property of Equality
B. Combine Like Terms; Addition Property of Equality; Subtraction Property of Equality; Division Property of Equality
C. Addition Property of Equality; Combine Like Terms; Subtraction Property of Equality; Division Property of Equality
D. Subtraction Property of Equality; Division Property of Equality; Addition Property of Equality; Combine Like Terms

Correct Answer:
B. Combine Like Terms; Addition Property of Equality; Subtraction Property of Equality; Division Property of Equality

Sagot :

GinnyAnsweridn
Let's fill in the missing justifications step-by-step in the correct order.

Given statement:
[tex]\[ 4x + 3 = x + 5 - 2x \][/tex]

### First Step:
[tex]\[ 4x + 3 = x - 2x + 5 \][/tex]
Justification: Commutative Property of Addition (rearranging terms on the right side)

### Second Step:
[tex]\[ 4x + 3 = -x + 5 \][/tex]
Justification: Combine Like Terms (combining [tex]\( x \)[/tex] and [tex]\( -2x \)[/tex])

### Third Step:
[tex]\[ 5x + 3 = 5 \][/tex]
Justification: Addition Property of Equality (adding [tex]\( x \)[/tex] to both sides)

### Fourth Step:
[tex]\[ 5x = 2 \][/tex]
Justification: Subtraction Property of Equality (subtracting 3 from both sides)

### Fifth Step:
[tex]\[ x = \frac{2}{5} \][/tex]
Justification: Division Property of Equality (dividing both sides by 5)

So the complete table with justifications should look like this:

[tex]\[ \begin{tabular}{|l|l|} \hline Mathematical Statement & \multicolumn{1}{c|}{Justification} \\ \hline $4 x + 3 = x + 5 - 2 x$ & Given \\ \hline $4 x + 3 = x - 2 x + 5$ & Commutative Property of Addition \\ \hline $4 x + 3 = - x + 5$ & Combine Like Terms \\ \hline $5 x + 3 = 5$ & Addition Property of Equality \\ \hline $5 x = 2$ & Subtraction Property of Equality \\ \hline $x = \frac{2}{5}$ & Division Property of Equality \\ \hline \end{tabular} \][/tex]

The correct order for the justifications is:
1. Commutative Property of Addition
2. Combine Like Terms
3. Addition Property of Equality
4. Subtraction Property of Equality
5. Division Property of Equality
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.