Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

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

2.

Solve for x

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

3.

Solve for x

\begin{equation}-8=\frac{x}{\frac{-1}{2}}\end{equation}

4.

Solve for x

\begin{equation}\frac{-x}{8}=\frac{-5}{4}\end{equation}

5.

Solve for x

\begin{equation}48=\frac{8x}{6}\end{equation}

6.

Solve for x

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

7.

Solve for x

\begin{equation}\frac{\frac{1}{63} \times x}{9}=\frac{1}{63}\end{equation}

8.

Natasha bought 14 identical bowling balls, which weighed a total of 112 pounds. How much did each ball weigh?

\begin{equation}14x=112\end{equation}

9.

Your school has a $\$930$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$22$. 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}22x+600=930\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{9}{18}$ of your time stocking shelves. You work 35 hours each week. How many hours of your work week do you spend stocking shelves?

\begin{equation}\frac{9}{18} \times 35=x\end{equation}

11.

You already have walked 3 miles in an 15 mile trail. If you walk the rest of the trail at the pace of 6 miles in 2 hours, how many hours will it take you to finish the trail?

\begin{equation}15-3=\frac{6}{2} \times x\end{equation}

12.

The perimeter of a regular pentagon is 40 cm. Solve an equation to determine the length of each side of the polygon.

\begin{equation}5x=40\end{equation}

13.

Pinky spends 1/3 of her allowance on movies. She spends $\$7/3$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

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