91Ó°ÊÓ

Jean charges \(\$ 20\) for a private tap lesson and \(\$ 12\) for a group class. One Wednesday, Jean earned \(\$ 216\) from 14 students. How many students of each type did Jean teach?

Evaluate each polynomial for the given replacements of the variables. $$ a^{2} b^{3}+2 b^{2}-6 a, \text { for } a=2 \text { and } b=-1 $$

Evaluate each polynomial for the given replacements of the variables. $$ 2 p q^{3}-5 q^{2}+8 p, \text { for } p=-4 \text { and } q=-2 $$

A Book in Hand sells used paperback books for \(\$ 1.99\) and used hardbacks for \(\$ 4.99 .\) Holly recently purchased a total of 14 books for a total of \(\$ 42.86\) (before tax). How many paperbacks and how many hardbacks did she buy?

Solve and graph. Write each answer in set-builder notation and in interval notation. $$ y+7<-10 $$

Simplify. $$ 12-16 \cdot 5+4 $$

Simplify. $$ 2-\left(3^{3}+16 \div(-2)^{3}\right) $$

Solve and graph. Write each answer in set-builder notation and in interval notation. $$ m-17>-5 $$

A grocer wishes to mix peanuts worth \(\$ 3.20\) per pound with Brazil nuts worth \(\$ 6.40\) per pound to make 480 lb of a mixture worth \(\$ 5.50\) per pound. How much of each nut should be used?

The distance s, in feet, traveled by a body falling freely from rest in t seconds is approximated by \(s=16 t^{2}\) A pebble is dropped into a well and takes 3 sec to hit the water. How far down is the surface of the water?