Lesson 7 Summary
When provided with a verbal description of a problem, represent the scenario algebraically. Start by identifying the unknown quantities in the problem and assigning variables. For example, write expressions that represent the length and width of an object.
Solve the equation using techniques previously learned, such as factoring and using the zero product property. The final answer should be clearly stated and be reasonable in terms of the context of the problem.
Lesson 7 Examples
The length of a rectangle is 5 in. more than twice a number. The width is 4 in. less than the same number. If the area of the rectangle is15 in2, find the unknown number.
A picture has a height that is 4/3 its width. It is to be enlarged so that the ratio of height to width remains the same but the area is 192 sq. in. What are the dimensions of the enlargement?
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.