Question

Choose Yes or No to tell whether each expression is equivalent to –43p – 25.

Answer 1

Answer:

–43p + (–25)  is  EQUIVALENT to  –43p – 25.

Step-by-step explanation:

The options are MISSING.

The needed options are:

1. 25 – 43p

2. 25 – 43p

3. –25p –43

4. –43p + (–25)

Now, here the given expression is:  –43p – 25

Taking each option and simplifying it , we get:

1. 25 – 43p

Here, the second term is NEGATIVE, but the first term (25) is POSITIVE.

⇒  25 – 43p  ≠ –43p – 25

Hence, 25 – 43p is  NOT EQUIVALENT.

2. 25 – 43p

Here, the second term is NEGATIVE, but the first term (25) is POSITIVE.

⇒  25 – 43p  ≠ –43p – 25

Hence, 25 – 43p is  NOT EQUIVALENT.

3. –25p –43

Here, the variable p is multiplied with (-25) and NOT (-43).

⇒   –25p –43 ≠ –43p – 25

Hence,  –25p –43 is  NOT EQUIVALENT.

4. –43p + (–25)

Here, both the given terms (43) and (25) are NEGATIVE.

Also, the varibale p is multiplied with (-43)

⇒  –43p + (–25) = –43p – 25

Hence, –43p + (–25)  is  EQUIVALENT.