1. Math 71 Chapter 1

2. Use the order of operations to simplify each expression. What is your first step? 2 - 5 and/or 8 - 6 8-3

3. This is not the correct first step. The order of operations gives the first step as clearing the grouping symbols -- the parenthesis. Review the order of operations.

4. Now what?

5. You must clear the grouping symbols first. Review the order of operations.

6. Remember, addition and/or subtraction is generally the last step in simplifying an expression -- not usually the first.

7. Now, you try some problems. Answers

8. Solve the linear equation. Step 1: Simplify each side of the equation using the distributive property and combining like terms.

9. Be careful here -- watch your signs. Check your work with mine. Are your signs the same as mine?

10. Now, isolate the variable.

11. Next, divide both sides of the equation by 29.

12. Check the answer.

13. The solution checks. Therefore, the answer is {0}.

14. Solve: Solution You try this problem and then check your solution. Go ahead.

15. Answers

16. Solution

17. Problem Solving 1. Read the problem carefully. Let x represent one of the quantities in the problem 2. If necessary, write expressions for any other unknown quantities in the problem in terms of x. 3. Write an equation in x that describes the verbal conditions of the problem 4. Solve the equation and answer the problem’s question in a complete sentence. Check the solution.

18. Example When two times a number is decreased by 3, the result is 11. What is the number?

19. Solution Let x represent the number. Two times a number = 2x Two times a number is decreased by 3 = 2x-3 The result is 11.

20. Example The length of a rectangular pool is 6 meters less than twice the width. If the pool’s perimeter is 126 meters, what are its dimensions? You try to set up and solve this problem. Solution Go Ahead.

21. Solution The dimensions are 23 meters by 40 meters.

22. Properties of Exponents

23. Example There are several ways you can start this problem.

26. Example There is more than one way to start this problem. I am going to simplify the inside first.

30. Now you try some problems. Solution