How do you know when to rewrite square trinomials and difference of squares as separate factors

Ms. Derr wants to buy 2 T-shirts and 6 pairs of socks for her nephew. Each pair of socks costs $3.60 and each T-shirt costs $15.80.

A segment bisects one of the acute angles of a right triangle ABC and divides the opposite side into lengths 8 and 12. Find the perimeter of triangle ABC

A college student is preparing a course schedule for the next semester. The student may select one of two mathematics courses, one of three science courses, and one of five courses from the social sciences and humanities.

What is the value of x in the equation 5 - 3x = - 7?

If I had 590 apples and give a friend 100apple and another person gives me 95 apples. How many apples do I have now?

If you wanted to make graph of y=3x+1 steeper, which equation could you use? A. y=3x+4 B. y=-3x+1 C. y=1/2x+1 D. y=7x+1

A number is shown in word form. "Two hundred thirteen thousand, forty-nine" What is the number in standard form?

The amount of money paid out of earnings that is divided among shareholders.

Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 book. There are 1,265 mystery books. How many shelves will he need to build

The volume of a sphere is 36 pi ft3. what is the radius of the sphere?