### Algebra-1 Problems

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

1. |
Solve for x |
\begin{equation}\frac{x}{10}=\frac{\frac{14}{5}}{4}\end{equation} |

2. |
Solve for x |
\begin{equation}\frac{x}{27}=\frac{1}{3}\end{equation} |

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

4. |
Solve for x |
\begin{equation}\frac{84}{6}=\frac{7x}{5}\end{equation} |

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

6. |
Solve for x |
\begin{equation}\frac{1}{\frac{11}{4}}=\frac{x}{x+7}\end{equation} |

7. |
Solve for x |
\begin{equation}\frac{8-x}{3}=\frac{8}{-12}\end{equation} |

8. |
Solve for x |
\begin{equation}\frac{x}{\frac{45}{4}}=\frac{\frac{8}{10}}{\frac{9}{10}}\end{equation} |

9. |
Solve for x |
\begin{equation}\frac{x}{8}=\frac{\frac{4}{10}}{\frac{4}{10}}\end{equation} |

10. |
If a car moving at constant speed travels 152 miles in 2 hours, how many miles will it travel in 6 hours? |
\begin{equation}\frac{152}{2}=\frac{x}{6}\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 6 seconds. How many pieces of mail should you be able to sort in 2 minutes? |
\begin{equation}\frac{15}{6}=\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 47/14 inches tall. |
\begin{equation}\frac{1}{14}=\frac{\frac{47}{14}}{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 90 miles. On the map, how many centimeters are between the two Cities? |
\begin{equation}\frac{1}{9}=\frac{x}{90}\end{equation} |

14. |
The utility worker is 6 ft tall and is casting a shadow 7 ft long. At the same time, a nearby utility pole casts a shadow 35/3 ft long. Write and solve a proportion to find the height of the utility pole. |
\begin{equation}\frac{6}{7}=\frac{x}{\frac{35}{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 144 sq in. What was the scale factor? |
\begin{equation}4x^{2}=144\end{equation} |