Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

\begin{equation}3x=30\end{equation}

2.

Solve for x

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

3.

Solve for x

\begin{equation}-8=\frac{x}{\frac{-3}{4}}\end{equation}

4.

Solve for x

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

5.

Solve for x

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

6.

Solve for x

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

7.

Solve for x

\begin{equation}\frac{\frac{1}{40} \times x}{4}=\frac{1}{40}\end{equation}

8.

Natasha bought 8 identical bowling balls, which weighed a total of 64 pounds. How much did each ball weigh?

\begin{equation}8x=64\end{equation}

9.

Your school has a $\$1636$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$44$. Your school decides to spend $\$888$ on books and the remaining amount on magazine subscriptions. How many magazine subscriptions can the school buy?

\begin{equation}44x+888=1636\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{6}{14}$ 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{6}{14} \times 26=x\end{equation}

11.

You already have walked 4 miles in an 16 mile trail. If you walk the rest of the trail at the pace of 4 miles in 3 hours, how many hours will it take you to finish the trail?

\begin{equation}16-4=\frac{4}{3} \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 1/3 of her allowance on movies. She spends $\$2$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

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