1. Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 12 By Herbert I. Gross and Richard A. Medeiros next

2. The following five problems are designed to help you make sure that you have internalized the material in this presentation. We suggest that you treat these problems as if they were a test. © 2007 Herbert I. Gross After you have worked on these problems, check your answers against the ones that are given. Then read through our solutions and commentary in the Problem/Solution PowerPoint Presentation. next

3. Problem #1a © 2007 Herbert I. Gross next Is π x + linear in x?√2

4. Problem #1b © 2007 Herbert I. Gross next Is 4x 2 + 5 linear in x?

5. Problem #2a © 2007 Herbert I. Gross next True or False ? When we double the length of the side of a square, we also double the perimeter of the square.

6. Problem #2b © 2007 Herbert I. Gross next True or False ? When we double the length of each side of a square, we also double the area of the square.

7. Problem #3 © 2007 Herbert I. Gross next There is a certain relationship between x and y such that y = 3 when x = 1, y = 6 when x = 2, and y = 12 when x = 3. Is the relationship linear in x?

8. Problem #4a © 2007 Herbert I. Gross next In a certain linear relationship y = 7 when x = 0 and y = 15 when x = 2. What is the value of y when x = 4?

9. Problem #4b © 2007 Herbert I. Gross next In a certain linear relationship y = 7 when x = 0 and y = 5 when x = 2. What is the value of y when x = 4?

10. Problem #5a © 2007 Herbert I. Gross next If the relationship between x and y is y = 5(x – 3) – 3(x + 4), what is the rate of change of y with respect to x?

11. Problem #5b © 2007 Herbert I. Gross next If the relationship between x and y is y = 5(x – 3) – 3(x + 4), what is the rate of change of x with respect to y?