Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

\begin{equation}2x=14\end{equation}

2.

Solve for x

\begin{equation}\frac{x}{9}=\frac{4}{9}\end{equation}

3.

Solve for x

\begin{equation}-1=\frac{x}{-3}\end{equation}

4.

Solve for x

\begin{equation}\frac{-x}{6}=-1\end{equation}

5.

Solve for x

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

6.

Solve for x

\begin{equation}\frac{2x}{2}=9\end{equation}

7.

Solve for x

\begin{equation}\frac{\frac{1}{16} \times x}{2}=\frac{1}{4}\end{equation}

8.

Natasha bought 14 identical bowling balls, which weighed a total of 42 pounds. How much did each ball weigh?

\begin{equation}14x=42\end{equation}

9.

Your school has a $\$1189$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$31$. 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}31x+600=1189\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{2}{11}$ 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{2}{11} \times 37=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 5 miles in 3 hours, how many hours will it take you to finish the trail?

\begin{equation}12-5=\frac{5}{3} \times x\end{equation}

12.

The perimeter of a regular pentagon is 20 cm. Solve an equation to determine the length of each side of the polygon.

\begin{equation}5x=20\end{equation}

13.

Pinky spends 1/4 of her allowance on movies. She spends $\$1$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

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