### Algebra-1 Problems

Problem # |
Problem Statement |
Problems Similar To |
---|---|---|

1. |
Solve for x |
\begin{equation}\frac{x}{10}=\frac{\frac{24}{5}}{6}\end{equation} |

2. |
Solve for x |
\begin{equation}\frac{x}{20}=\frac{1}{5}\end{equation} |

3. |
Solve for x |
\begin{equation}\frac{\frac{5}{3}}{10}=\frac{1}{x}\end{equation} |

4. |
Solve for x |
\begin{equation}\frac{\frac{90}{7}}{2}=\frac{9x}{7}\end{equation} |

5. |
Solve for x |
\begin{equation}\frac{\frac{21}{5}}{x}=\frac{6}{x+3}\end{equation} |

6. |
Solve for x |
\begin{equation}\frac{1}{\frac{3}{2}}=\frac{x}{x+2}\end{equation} |

7. |
Solve for x |
\begin{equation}\frac{4-x}{2}=\frac{4}{-4}\end{equation} |

8. |
Solve for x |
\begin{equation}\frac{x}{35}=\frac{\frac{2}{10}}{\frac{7}{10}}\end{equation} |

9. |
Solve for x |
\begin{equation}\frac{x}{\frac{16}{5}}=\frac{\frac{10}{10}}{\frac{4}{10}}\end{equation} |

10. |
If a car moving at constant speed travels 181 miles in 2 hours, how many miles will it travel in 7 hours? |
\begin{equation}\frac{181}{2}=\frac{x}{7}\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 10 pieces of mail in 8 seconds. How many pieces of mail should you be able to sort in 9 minutes? |
\begin{equation}\frac{10}{8}=\frac{x}{9 \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 : 17 ft. Estimate the height of the building whose model is 26/17 inches tall. |
\begin{equation}\frac{1}{17}=\frac{\frac{26}{17}}{x}\end{equation} |

13. |
The scale of a map of State X shows that 1 cm represents 9 miles. The actual distance from City A to City B is 36 miles. On the map, how many centimeters are between the two Cities? |
\begin{equation}\frac{1}{9}=\frac{x}{36}\end{equation} |

14. |
The utility worker is 5 ft tall and is casting a shadow 9 ft long. At the same time, a nearby utility pole casts a shadow 27/5 ft long. Write and solve a proportion to find the height of the utility pole. |
\begin{equation}\frac{5}{9}=\frac{x}{\frac{27}{5}}\end{equation} |

15. |
A rectangle has an area of 7 sq in. Every dimension of the rectangle is multiplied by a scale factor, and the new rectangle has an area of 567 sq in. What was the scale factor? |
\begin{equation}7x^{2}=567\end{equation} |