Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

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

2.

Solve for x

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

3.

Solve for x

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

4.

Solve for x

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

5.

Solve for x

\begin{equation}32=\frac{8x}{4}\end{equation}

6.

Solve for x

\begin{equation}\frac{7x}{4}=\frac{63}{4}\end{equation}

7.

Solve for x

\begin{equation}\frac{\frac{1}{18} \times x}{9}=\frac{1}{18}\end{equation}

8.

Natasha bought 9 identical bowling balls, which weighed a total of 90 pounds. How much did each ball weigh?

\begin{equation}9x=90\end{equation}

9.

Your school has a $\$1397$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$41$. Your school decides to spend $\$700$ on books and the remaining amount on magazine subscriptions. How many magazine subscriptions can the school buy?

\begin{equation}41x+700=1397\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{3}{16}$ of your time stocking shelves. You work 26 hours each week. How many hours of your work week do you spend stocking shelves?

\begin{equation}\frac{3}{16} \times 26=x\end{equation}

11.

You already have walked 5 miles in an 12 mile trail. If you walk the rest of the trail at the pace of 3 miles in 3 hours, how many hours will it take you to finish the trail?

\begin{equation}12-5=\frac{3}{3} \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 1/5 of her allowance on movies. She spends $\$6/5$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

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