Algebra-1 Problems

3.8 Proportions


Problem #

Problem Statement

Problems Similar To

1.

Solve for x

\begin{equation}\frac{x}{5}=\frac{\frac{24}{5}}{4}\end{equation}

2.

Solve for x

\begin{equation}\frac{x}{60}=\frac{1}{10}\end{equation}

3.

Solve for x

\begin{equation}\frac{5}{10}=\frac{1}{x}\end{equation}

4.

Solve for x

\begin{equation}\frac{\frac{160}{7}}{5}=\frac{4x}{7}\end{equation}

5.

Solve for x

\begin{equation}\frac{2}{x}=\frac{6}{x+4}\end{equation}

6.

Solve for x

\begin{equation}\frac{1}{\frac{10}{7}}=\frac{x}{x+3}\end{equation}

7.

Solve for x

\begin{equation}\frac{3-x}{7}=\frac{3}{\frac{-21}{2}}\end{equation}

8.

Solve for x

\begin{equation}\frac{x}{\frac{15}{8}}=\frac{\frac{8}{10}}{\frac{3}{10}}\end{equation}

9.

Solve for x

\begin{equation}\frac{x}{\frac{28}{5}}=\frac{\frac{5}{10}}{\frac{7}{10}}\end{equation}

10.

If a car moving at constant speed travels 172 miles in 1 hours, how many miles will it travel in 12 hours?

\begin{equation}\frac{172}{1}=\frac{x}{12}\end{equation}

11.

You work in a local mail-room at a college. One of your duties is to sort local mail from all of the other mail. You can sort 15 pieces of mail in 7 seconds. How many pieces of mail should you be able to sort in 8 minutes?

\begin{equation}\frac{15}{7}=\frac{x}{8 \times 60}\end{equation}

12.

An architectural firm makes a model of a science center they are building. The ratio of the model to the actual size is 1 inch : 15 ft. Estimate the height of the building whose model is 9/5 inches tall.

\begin{equation}\frac{1}{15}=\frac{\frac{9}{5}}{x}\end{equation}

13.

The scale of a map of State X shows that 1 cm represents 15 miles. The actual distance from City A to City B is 105 miles. On the map, how many centimeters are between the two Cities?

\begin{equation}\frac{1}{15}=\frac{x}{105}\end{equation}

14.

The utility worker is 6 ft tall and is casting a shadow 2 ft long. At the same time, a nearby utility pole casts a shadow 7/3 ft long. Write and solve a proportion to find the height of the utility pole.

\begin{equation}\frac{6}{2}=\frac{x}{\frac{7}{3}}\end{equation}

15.

A rectangle has an area of 4 sq in. Every dimension of the rectangle is multiplied by a scale factor, and the new rectangle has an area of 100 sq in. What was the scale factor?

\begin{equation}4x^{2}=100\end{equation}