Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

\begin{equation}7x=14\end{equation}

2.

Solve for x

\begin{equation}\frac{x}{3}=\frac{5}{3}\end{equation}

3.

Solve for x

\begin{equation}-5=\frac{x}{\frac{-3}{5}}\end{equation}

4.

Solve for x

\begin{equation}\frac{-x}{5}=\frac{-7}{5}\end{equation}

5.

Solve for x

\begin{equation}27=\frac{3x}{9}\end{equation}

6.

Solve for x

\begin{equation}\frac{3x}{9}=\frac{7}{3}\end{equation}

7.

Solve for x

\begin{equation}\frac{\frac{1}{10} \times x}{10}=\frac{1}{20}\end{equation}

8.

Natasha bought 14 identical bowling balls, which weighed a total of 56 pounds. How much did each ball weigh?

\begin{equation}14x=56\end{equation}

9.

Your school has a $\$1248$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$36$. 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}36x+600=1248\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{1}{18}$ of your time stocking shelves. You work 36 hours each week. How many hours of your work week do you spend stocking shelves?

\begin{equation}\frac{1}{18} \times 36=x\end{equation}

11.

You already have walked 3 miles in an 19 mile trail. If you walk the rest of the trail at the pace of 5 miles in 2 hours, how many hours will it take you to finish the trail?

\begin{equation}19-3=\frac{5}{2} \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 $\$5$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

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