91Ó°ÊÓ

In Canada, \(\$ 1\) coins are called "loonies" because they have a picture of a loon on the reverse, and \(\$ 2\) coins are called "toonies." When Marissa returned home to San Francisco from a trip to Vancouver, she found that she had acquired 37 of these coins, with a total value of 51 Canadian dollars. How many coins of each denomination did she have?

Translate each verbal phrase into \(a\) mathematical expression using \(x\) as the variable. The product of 8 more than a number and 5 less than the number.

Determine whether each of the following is an expression or an equation. \(4(x+3)-2(x+1)+10\)

Hussein collects U.S. gold coins. He has a collection of 41 coins. Some are \(\$ 10\) coins, and the rest are \(\$ 20\) coins. If the face value of the coins is \(\$ 540\), how many of each denomination does he have?

Determine whether each of the following is an expression or an equation. \(-10 x+12-4 x+3=0\)

In the 19 th century, the United States minted two-cent and three-cent pieces. Frances has three times as many three-cent pieces as two-cent pieces, and the face value of these coins is \(\$ 2.42 .\) How many of each denomination does she have?

Translate each verbal sentence into an equation, using \(x\) as the variable. Then solve the equation. $$ \text { The sum of a number and } 6 \text { is }-31 \text { . Find the number. } $$

Solve each inequality. Graph the solution set, and write it using interval notation. \(2 x>-10\)

Translate each verbal sentence into an equation, using \(x\) as the variable. Then solve the equation. If the product of a number and -4 is subtracted from the number, the result is 9 more than the number. Find the number.

Solve each compound inequality. Graph the solution set, and write it using interval notation. $$ x<2 \text { and } x>-3 $$