A store is having its year-end sale. A shirt now costs $7.98, which is half of its original price. Complete and solve the working equation that represents the original price, p , of the shirt.

_p = 7.98
p = _ dollars

11 answers

To determine the original price \( p \) of the shirt, we can set up the equation based on the information given. We know that the current sale price of the shirt is $7.98, and this price represents half of the original price.

The equation can be written as:

\[ \frac{p}{2} = 7.98 \]

To isolate \( p \), we multiply both sides of the equation by 2:

\[ p = 7.98 \times 2 \]

Now calculate the right side:

\[ p = 15.96 \]

Thus, the original price of the shirt is:

\[ p = 15.96 \text{ dollars} \]

the first one is wrong

I apologize for any confusion. Let's revisit the problem step by step.

Given:

  • The sale price of the shirt is $7.98, which is half of its original price.

We can represent the original price as \( p \). The equation based on the information provided would be:

\[ \frac{p}{2} = 7.98 \]

To solve for \( p \), we can multiply both sides of the equation by 2:

\[ p = 7.98 \times 2 \]

Now let's perform the calculation:

\[ p = 15.96 \]

So the correct expression for the original price is:

\[ p = 15.96 \text{ dollars} \]

This should correctly represent the original price of the shirt. If there is a specific aspect you believe is incorrect or if there's additional information, please let me know!

A store is having its year-end sale. A shirt now costs $7.98, which is half of its original price. Complete and solve the working equation that represents the original price, p , of the shirt.
_p = 7.98

I see where the confusion might be. Let's clarify the equation properly.

Given that the sale price of the shirt is $7.98, which is half of its original price, we can represent this relationship as follows:

\[ \text{Half of the original price} = 7.98 \]

To represent the original price \( p \) in terms of this equation, we can write:

\[ \frac{p}{2} = 7.98 \]

To isolate \( p \), we multiply both sides of the equation by 2:

\[ p = 2 \times 7.98 \]

Now we can calculate:

\[ p = 15.96 \]

So the completed equation is:

\[ p = 2 \times 7.98 \]

And the original price of the shirt is:

\[ p = 15.96 \text{ dollars} \]

Thank you for your patience, and I hope this clarifies the equation! If there’s anything else you need, feel free to ask.

What is the inverse operation needed to solve for x?
45 = x - 12
Addition
Multiplication
Subtraction
Division

To solve the equation \( 45 = x - 12 \) for \( x \), you need to isolate \( x \).

The operation currently affecting \( x \) is subtraction (subtracting 12). To eliminate that, you would use the inverse operation of subtraction, which is addition.

So, you would add 12 to both sides of the equation:

\[ 45 + 12 = x \]

This results in:

\[ 57 = x \]

Thus, the inverse operation needed to isolate \( x \) is Addition.

Which of the following should be done to both sides of the equation x + 11 = -17 to solve the value of x?
subtract 17
add 17
subtract 11
add 11

To solve the equation \( x + 11 = -17 \) for \( x \), we want to isolate \( x \) by eliminating the \( +11 \) on the left side.

The operation we need to reverse is addition (adding 11). The inverse operation of addition is subtraction. Therefore, we should subtract 11 from both sides of the equation.

Here is how it looks:

  1. Start with the equation:
    \( x + 11 = -17 \)

  2. Subtract 11 from both sides:
    \( x + 11 - 11 = -17 - 11 \)

  3. This simplifies to:
    \( x = -28 \)

So, the correct answer is to subtract 11 from both sides of the equation.

What number should both sides of the equation -8m = 16 be divided by to solve for the value of m?
Do not solve for m. Enter only a number for your response.

To solve the equation \(-8m = 16\) for \(m\), you should divide both sides of the equation by \(-8\).

So, the number you should divide by is:

\(-8\)