1. What must be added to p to produce q?

2. What is the perimeter of the rectangle if the length is 2x-3y and the width is x+2y? What is the area?
3. What must be subtracted to 7y to leave -5y+2z?

1. q = 1 - p

2. Perimeter of rectangle = 2 length + 2 width. Area is length times width. Substitute the appropriate x and y terms.

3.When taking away somthing, you subtract "from" rather than subtract "to."

7y - (12y-2z) = -5y+2z

I hope this helps. Thanks for asking.

1. To produce q, you need to add 1 to p. Therefore, q = p + 1.

2. The perimeter of a rectangle is calculated by adding twice the length and twice the width. So, the perimeter would be (2x - 3y) + (2x - 3y) + (x + 2y) + (x + 2y), which simplifies to 6x - y.
The area of a rectangle is found by multiplying the length and the width, so the area would be (2x - 3y) * (x + 2y), which simplifies to 2x^2 + xy - 6y^2.

3. To subtract from 7y and leave -5y + 2z, you need to subtract 12y - 2z. So, the expression would be 7y - (12y - 2z) = -5y + 2z.

1. To find what must be added to p to produce q, you simply need to subtract p from q. In other words, q - p = result. For example, if q = 5 and p = 3, then 5 - 3 = 2. So, in this case, to produce q, you would need to add 2 to p.

2. To find the perimeter of a rectangle, you need to add up all the sides. In the case of a rectangle, the formula is P = 2length + 2width. So, for a rectangle with a length of 2x - 3y and a width of x + 2y, the perimeter would be P = 2(2x - 3y) + 2(x + 2y). To simplify, you can distribute the 2 to each term inside the parentheses and combine like terms.

Similarly, to find the area of a rectangle, you multiply the length by the width. In this case, the area would be A = (2x - 3y)(x + 2y). Again, you can simplify this expression by using the distributive property and combining like terms.

3. To subtract a number from another number, you simply subtract the second number from the first. In this case, you need to subtract something from 7y to leave -5y + 2z. So, the equation would be 7y - something = -5y + 2z. To find what needs to be subtracted, you can rearrange the equation to isolate the unknown term. In this example, subtracting 7y from both sides gives you -something = -5y + 2z - 7y. You can then simplify the right side by combining like terms, and the final value of "something" would be the term on the left side of the equation.