### Algebra-1 Problems

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

1. |
Solve for x |
\begin{equation}\frac{x}{4}=\frac{\frac{25}{2}}{10}\end{equation} |

2. |
Solve for x |
\begin{equation}\frac{x}{63}=\frac{1}{9}\end{equation} |

3. |
Solve for x |
\begin{equation}\frac{\frac{5}{4}}{10}=\frac{1}{x}\end{equation} |

4. |
Solve for x |
\begin{equation}\frac{\frac{100}{3}}{5}=\frac{10x}{6}\end{equation} |

5. |
Solve for x |
\begin{equation}\frac{\frac{24}{11}}{x}=\frac{6}{x+7}\end{equation} |

6. |
Solve for x |
\begin{equation}\frac{1}{\frac{13}{10}}=\frac{x}{x+3}\end{equation} |

7. |
Solve for x |
\begin{equation}\frac{6-x}{4}=\frac{6}{-12}\end{equation} |

8. |
Solve for x |
\begin{equation}\frac{x}{16}=\frac{\frac{5}{10}}{\frac{10}{10}}\end{equation} |

9. |
Solve for x |
\begin{equation}\frac{x}{\frac{25}{8}}=\frac{\frac{8}{10}}{\frac{5}{10}}\end{equation} |

10. |
If a car moving at constant speed travels 195 miles in 3 hours, how many miles will it travel in 10 hours? |
\begin{equation}\frac{195}{3}=\frac{x}{10}\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 9 pieces of mail in 8 seconds. How many pieces of mail should you be able to sort in 2 minutes? |
\begin{equation}\frac{9}{8}=\frac{x}{2 \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 : 14 ft. Estimate the height of the building whose model is 5/2 inches tall. |
\begin{equation}\frac{1}{14}=\frac{\frac{5}{2}}{x}\end{equation} |

13. |
The scale of a map of State X shows that 1 cm represents 6 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}{6}=\frac{x}{36}\end{equation} |

14. |
The utility worker is 7 ft tall and is casting a shadow 8 ft long. At the same time, a nearby utility pole casts a shadow 40/7 ft long. Write and solve a proportion to find the height of the utility pole. |
\begin{equation}\frac{7}{8}=\frac{x}{\frac{40}{7}}\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 112 sq in. What was the scale factor? |
\begin{equation}7x^{2}=112\end{equation} |