Algebra-1 Problems

3.2 Multiplication Property of Equality


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

\begin{equation}4x=28\end{equation}

2.

Solve for x

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

3.

Solve for x

\begin{equation}-7=\frac{x}{\frac{-3}{7}}\end{equation}

4.

Solve for x

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

5.

Solve for x

\begin{equation}25=\frac{5x}{5}\end{equation}

6.

Solve for x

\begin{equation}\frac{7x}{3}=\frac{28}{3}\end{equation}

7.

Solve for x

\begin{equation}\frac{\frac{1}{20} \times x}{3}=\frac{1}{15}\end{equation}

8.

Natasha bought 6 identical bowling balls, which weighed a total of 30 pounds. How much did each ball weigh?

\begin{equation}6x=30\end{equation}

9.

Your school has a $\$1456$ grant to buy books and magazine subscriptions for the school library. The average cost of a magazine subscription is $\$42$. 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}42x+700=1456\end{equation}

10.

You work part-time at a bookstore. You estimate that you spend $\frac{8}{17}$ of your time stocking shelves. You work 24 hours each week. How many hours of your work week do you spend stocking shelves?

\begin{equation}\frac{8}{17} \times 24=x\end{equation}

11.

You already have walked 4 miles in an 14 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}14-4=\frac{3}{2} \times x\end{equation}

12.

The perimeter of a regular pentagon is 35 cm. Solve an equation to determine the length of each side of the polygon.

\begin{equation}5x=35\end{equation}

13.

Pinky spends 1/4 of her allowance on movies. She spends $\$5/4$ per week at the movies. Write and solve an equation to determine Pinky's weekly allowance.

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