Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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 :

GinnyAnswer
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 your time. Please come back anytime for the latest information and answers to your questions. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.