Question

Arlene read 30 pages. That is 10 pages more than half of the pages Taylor read. How many pages did Taylor read?

Write an equation in the form px+q=r
to represent this problem.

(2 points)
x
+
=
Remaining A what is befor x

Answer 1

Let's denote the number of pages Taylor read as \( x \).

According to the problem, Arlene read 30 pages, and this is 10 pages more than half of what Taylor read. We can express this relationship with the following equation:

\[
30 = \frac{1}{2}x + 10
\]

To rewrite this equation in the form \( px + q = r \), we need to isolate the term with \( x \).

Starting with:

\[
30 = \frac{1}{2}x + 10
\]

Subtract 10 from both sides:

\[
30 - 10 = \frac{1}{2}x
\]

This simplifies to:

\[
20 = \frac{1}{2}x
\]

Next, to eliminate the fraction, multiply both sides by 2:

\[
2 \cdot 20 = x
\]

This gives us:

\[
40 = x
\]

So, Taylor read 40 pages.

In the form \( px + q = r \), we can write the equation as:

\[
\frac{1}{2}x - 20 = 0
\]

Where:
- \( p = \frac{1}{2} \)
- \( q = -20 \)
- \( r = 0 \)

Thus, to fill in the blanks in your question, you would have:

- what is before \( x \): \( \frac{1}{2} \)
- remaining \( A = -20 \)
- and \( = 0 \) as \( r \).

Answer 2

1/2 x + blank = blank

Answer 3

Given the equation we derived earlier, \( 30 = \frac{1}{2}x + 10 \), we need to rewrite this in the format you requested, \( \frac{1}{2}x + \text{blank} = \text{blank} \).

Starting with the equation:

\[
30 = \frac{1}{2}x + 10
\]

We can rearrange it to fit the format:

Subtracting \( 10 \) from both sides gives:

\[
30 - 10 = \frac{1}{2}x
\]

This can be rewritten as:

\[
\frac{1}{2}x + (-10) = 20
\]

In this format:
- The blank before \( x \) is \( -10 \).
- The blank on the right side is \( 20 \).

So, the final statement is:

\[
\frac{1}{2}x + (-10) = 20
\]

To summarize:
- **\( \frac{1}{2} x + (-10) = 20 \)**

Answer 4

no

Answer 5

Apologies for the confusion in my previous responses. Let's clearly identify the equation in the required format.

Starting from the original equation derived:

\[
30 = \frac{1}{2}x + 10
\]

We want to express this equation in the form:

\[
\frac{1}{2}x + \text{blank} = \text{blank}
\]

Starting from our original equation:

1. We can subtract \( 10 \) from both sides to isolate the \(\frac{1}{2}x\) term.

\[
30 - 10 = \frac{1}{2}x
\]

This simplifies to:

\[
20 = \frac{1}{2}x
\]

2. Now we need to rewrite it in the desired format:

If we want \(\frac{1}{2}x + \text{blank} = \text{blank}\), we can rearrange the previous equation as:

\[
\frac{1}{2}x + 0 = 20
\]

So, in this case:

- The **blank before \(x\)** is \(0\).
- The **blank on the right side** is \(20\).

Therefore, the equation in the form \( \frac{1}{2}x + \text{blank} = \text{blank} \) is:

\[
\frac{1}{2}x + 0 = 20
\]

Thank you for your patience, and I hope this clarifies the problem correctly!