Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

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

2.

Solve for x

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

3.

Solve for x

\begin{equation}-6=\frac{x}{\frac{-5}{3}}\end{equation}

4.

Solve for x

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

5.

Solve for x

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

6.

Solve for x

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

7.

Solve for x

\begin{equation}\frac{\frac{1}{56} \times x}{6}=\frac{1}{48}\end{equation}

8.

Natasha bought 9 identical bowling balls, which weighed a total of 36 pounds. How much did each ball weigh?

\begin{equation}9x=36\end{equation}

9.

Your school has a $\$1132$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$38$. 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}38x+600=1132\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{7}{12}$ of your time stocking shelves. You work 28 hours each week. How many hours of your work week do you spend stocking shelves?

\begin{equation}\frac{7}{12} \times 28=x\end{equation}

11.

You already have walked 5 miles in an 15 mile trail. If you walk the rest of the trail at the pace of 4 miles in 2 hours, how many hours will it take you to finish the trail?

\begin{equation}15-5=\frac{4}{2} \times x\end{equation}

12.

The perimeter of a regular pentagon is 30 cm. Solve an equation to determine the length of each side of the polygon.

\begin{equation}5x=30\end{equation}

13.

Pinky spends 1/2 of her allowance on movies. She spends $\$3$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

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