Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

\begin{equation}10x=50\end{equation}

2.

Solve for x

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

3.

Solve for x

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

4.

Solve for x

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

5.

Solve for x

\begin{equation}63=\frac{7x}{9}\end{equation}

6.

Solve for x

\begin{equation}\frac{5x}{9}=\frac{10}{9}\end{equation}

7.

Solve for x

\begin{equation}\frac{\frac{1}{30} \times x}{4}=\frac{1}{24}\end{equation}

8.

Natasha bought 12 identical bowling balls, which weighed a total of 84 pounds. How much did each ball weigh?

\begin{equation}12x=84\end{equation}

9.

Your school has a $\$1127$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$35$. Your school decides to spend $\$532$ on books and the remaining amount on magazine subscriptions. How many magazine subscriptions can the school buy?

\begin{equation}35x+532=1127\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{5}{18}$ of your time stocking shelves. You work 37 hours each week. How many hours of your work week do you spend stocking shelves?

\begin{equation}\frac{5}{18} \times 37=x\end{equation}

11.

You already have walked 5 miles in an 16 mile trail. If you walk the rest of the trail at the pace of 3 miles in 2 hours, how many hours will it take you to finish the trail?

\begin{equation}16-5=\frac{3}{2} \times x\end{equation}

12.

The perimeter of a regular pentagon is 50 cm. Solve an equation to determine the length of each side of the polygon.

\begin{equation}5x=50\end{equation}

13.

Pinky spends 1/5 of her allowance on movies. She spends $\$3/5$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

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