91Ó°ÊÓ

Solve the following linear inequalities. $$ y-6 \leq 5 $$

The perimeter of a triangle is 54 inches. If each side has the same length, find the length of a side.

Find a solution to each of the following linear equations in two variables and write the solution as an ordered pair. $$ 10 x-5 y-20=0, \text { if } x=-8 $$

Solve \(6.42 x=1.09\) for \(x\).

Translate the following phrases and sentences into mathematical expressions or equations. A number divided by sixteen, plus one, is five.

Write "identity," "contradiction," or "conditional." If you can, find the solution by making an educated guess based on your knowledge of arithmetic. $$ x+4=x-3 $$

If nine less than three eighths of a number is two and one fourth, what is the number?

Translate the following phrases and sentences into mathematical expressions or equations. Fifty-two is subtracted from some quantity.

A student doing a chemistry experiment has a beaker that contains \(84 \mathrm{ml}\) (milliliters) of an alcohol and water solution. Her lab directions tell her that there is 4.6 times as much water as alcohol in the solution. How many milliliters of alcohol are in the solution? How many milliliters of water?

For the following problems, solve the inequalities. $$ 9 y-12 \leq 6 $$