Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

\begin{equation}9x=54\end{equation}

2.

Solve for x

\begin{equation}\frac{x}{5}=\frac{8}{5}\end{equation}

3.

Solve for x

\begin{equation}-6=\frac{x}{\frac{-4}{3}}\end{equation}

4.

Solve for x

\begin{equation}\frac{-x}{3}=\frac{-10}{3}\end{equation}

5.

Solve for x

\begin{equation}80=\frac{8x}{10}\end{equation}

6.

Solve for x

\begin{equation}\frac{9x}{8}=\frac{9}{4}\end{equation}

7.

Solve for x

\begin{equation}\frac{\frac{1}{63} \times x}{6}=\frac{1}{42}\end{equation}

8.

Natasha bought 9 identical bowling balls, which weighed a total of 81 pounds. How much did each ball weigh?

\begin{equation}9x=81\end{equation}

9.

Your school has a $\$926$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$30$. Your school decides to spend $\$536$ on books and the remaining amount on magazine subscriptions. How many magazine subscriptions can the school buy?

\begin{equation}30x+536=926\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{3}{11}$ of your time stocking shelves. You work 27 hours each week. How many hours of your work week do you spend stocking shelves?

\begin{equation}\frac{3}{11} \times 27=x\end{equation}

11.

You already have walked 3 miles in an 18 mile trail. If you walk the rest of the trail at the pace of 6 miles in 3 hours, how many hours will it take you to finish the trail?

\begin{equation}18-3=\frac{6}{3} \times x\end{equation}

12.

The perimeter of a regular pentagon is 35 cm. Solve an equation to determine the length of each side of the polygon.

\begin{equation}5x=35\end{equation}

13.

Pinky spends 1/5 of her allowance on movies. She spends $\$2$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

\begin{equation}\frac{x}{5}=2\end{equation}