91Ó°ÊÓ

A cash register contains \(d\) dimes and \(q\) quarters. Write an algebraic expression that represents the total amount of money (in dollars).

In Exercises \(1-10\), determine whether each value of \(x\) is a solution of the equation. \(3(3 x+2)=9-x\) (a) \(x=-\frac{3}{4}\) (b) \(x=\frac{3}{10}\)

Apples cost \(\$ 3.29\) per pound and oranges cost \(\$ 2.99\) per pound. Write an algebraic expression that represents the total cost of buying \(a\) pounds of apples and \(g\) pounds of oranges.

In Exercises 11-18, identify the coefficient of the term. $$ -\frac{1}{3} y $$

You are shopping for school supplies. You want to buy 8 notebooks for \(\$ 1.25\) each. Show how you can use the Distributive Property to find the total of the notebooks mentally.

In Exercises 19-36, expand the expression as a product of factors. $$ (-x)^{6} $$

In Exercises 23-36, write a verbal description of the algebraic expression, without using a variable. (There is more than one correct answer.) $$ x+9 $$

In Exercises 23-36, write a verbal description of the algebraic expression, without using a variable. (There is more than one correct answer.) $$ 4-7 x $$

The sales tax on a purchase of \(L\) dollars is \(6 \%\). Write an algebraic expression that represents the total amount of sales tax. (Hint: Use the decimal form of \(6 \%\).)

In Exercises 33-38, justify each step of the equation. Then identify any properties of equality used to solve the equation. $$ \begin{aligned} 14-3 x &=5 \\ 14-3 x-14 &=5-14 \\ 14-14-3 x &=5-14 \\ -3 x &=-9 \\ \frac{-3 x}{-3} &=\frac{-9}{-3} \\ x &=3 \end{aligned} $$