1. Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 4 By Herb 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. a. Solve for n if: n = - 7 – ( - 13 – + 8) Problem #1 © 2007 Herbert I. Gross

4. next b. Solve for n if: n = ( - 7 – - 13) – + 8 Problem #1 © 2007 Herbert I. Gross

5. next Solve for n if: - n = + 7 – - 4 Problem #2 © 2007 Herbert I. Gross

6. next a. Which number is greater, and by how much? - 6 – 4 or 4 – - 6 Problem #3 © 2007 Herbert I. Gross

7. next b. Which number is greater, and by how much? │ - 6 – 4│ or │ 4 – - 6│ Problem #3 © 2007 Herbert I. Gross

8. next a. Evaluate: 8 – (6 – n) when n = 9. Problem #4 © 2007 Herbert I. Gross

9. next b. What must we add to (6 – n) to obtain 8 as the sum? Problem #4 © 2007 Herbert I. Gross

10. next c. How are the expressions 8 – (6 – n) and n + 2 related? Problem #4 © 2007 Herbert I. Gross

11. next d. For what value of n will: 8 – (6 – n) = 23 Problem #4 © 2007 Herbert I. Gross

12. next You are hiking along a trail. The positive direction is the one in which your altitude (measured in feet and labeled “above sea level” and “below sea level”) is increasing, and the negative direction is the one in which your altitude is decreasing. Make up a word problem for which the correct answer is found by computing the value of 300 – - 250. Problem #5 © 2007 Herbert I. Gross