91Ó°ÊÓ

Let \(r\) and \(s\) represent two numbers and translate the sentence algebraically. Five times the product of two numbers is eight more than their sum.

Simplify each expression as completely as possible. $$5(x-3 y)-(x-3 y)$$

Simplify each expression as completely as possible. $$5 y\left(y^{2}-3\right)+y^{2}(y-3)$$

Simplify each expression as completely as possible. $$x^{2} y(x y-x)-5 x y\left(x^{2} y-x^{2}\right)$$

Evaluate the given expression for \(x=2, y=-3,\) and \(z=-4.\) $$(x+y)^{2}$$

Express the weekly income of a salesperson who earns a weekly salary of \(\$ 285\) plus a commission of \(\$ 0.52\) for each of \(x\) items sold.

Evaluate the given expression for \(x=2, y=-3,\) and \(z=-4.\) $$(-y)^{2}$$

Evaluate the given expression for \(x=2, y=-3,\) and \(z=-4.\) $$x y z^{2}$$

Simplify each expression as completely as possible. $$7(a-1)-6[2 a-4(a-3)]$$

Evaluate the given expression for \(x=2, y=-3,\) and \(z=-4.\) $$y(x-z)^{2}$$