Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

\begin{equation}2x=20\end{equation}

2.

Solve for x

\begin{equation}\frac{x}{10}=\frac{2}{5}\end{equation}

3.

Solve for x

\begin{equation}-6=\frac{x}{\frac{-5}{6}}\end{equation}

4.

Solve for x

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

5.

Solve for x

\begin{equation}56=\frac{7x}{8}\end{equation}

6.

Solve for x

\begin{equation}\frac{7x}{4}=\frac{21}{4}\end{equation}

7.

Solve for x

\begin{equation}\frac{\frac{1}{30} \times x}{5}=\frac{1}{15}\end{equation}

8.

Natasha bought 9 identical bowling balls, which weighed a total of 54 pounds. How much did each ball weigh?

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

9.

Your school has a $\$1120$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$40$. Your school decides to spend $\$600$ on books and the remaining amount on magazine subscriptions. How many magazine subscriptions can the school buy?

\begin{equation}40x+600=1120\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{5}{13}$ of your time stocking shelves. You work 34 hours each week. How many hours of your work week do you spend stocking shelves?

\begin{equation}\frac{5}{13} \times 34=x\end{equation}

11.

You already have walked 4 miles in an 17 mile trail. If you walk the rest of the trail at the pace of 3 miles in 1 hours, how many hours will it take you to finish the trail?

\begin{equation}17-4=\frac{3}{1} \times x\end{equation}

12.

The perimeter of a regular pentagon is 10 cm. Solve an equation to determine the length of each side of the polygon.

\begin{equation}5x=10\end{equation}

13.

Pinky spends 1/2 of her allowance on movies. She spends $\$7/2$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

\begin{equation}\frac{x}{2}=\frac{7}{2}\end{equation}