1. A LGEBRA Chapter 2 – Lesson 1

2. O BJECTIVE : S TANDARD AF 5.0 I can solve algebraic problems involving multiple steps.

3. Preparation for 5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable, and provide justification for each step. Also covered: 2.0 California Standards

4. Vocabulary #1 A mathematical statement that signifies that two expressions are equal. equation

5. Vocabulary #2 A value of a variable that makes the equation true. solution of an equation

6. Vocabulary #3 The set of all solutions. Finding the solutions of an equation is also called solving the equation. solution set

7. Inverse Operations Add x. Subtract x. Multiply by x. Divide by x. To find solutions, perform inverse operations until you have isolated the variable. A variable is isolated when it appears by itself on one side of an equation, and not at all on the other side.

8. An equation is like a balanced scale. To keep the balance, you must perform the same inverse operation on both sides.

10. Solve the equation. Additional Example 1: Solving Equations by Using Addition or Subtraction

11. Solve the equation. Additional Example 2: Solving Equations by Using Addition 4.2 = t + 1.8

12. Solve the equation. Check your answer. Check It Out! Example 3 n – 3.2 = 5.6

13. Solve the equation. Check your answer. Check It Out! Example 4 –6 = k – 6

14. Solve the equation. Check your answer. Check It Out! Example 5 6 + t = 14

16. Solve the equation. Check your answer. Additional Example 6: Solving Equations by Using Multiplication or Division

17. Solve the equation. Check your answer. Additional Example 7: Solving Equations by Using Multiplication or Division

18. Solve the equation. Check your answer. Additional Example 8:

19. Solve the equation. Check your answer. Additional Example 9:

20. Solve the equation. Check your answer. Additional Example 10:

21. Solve the equation. Check your answer. Additional Example 11:

22. Solve the equation. Check your answer. Additional Example 12:

23. Solve the equation. Check your answer. Additional Example 13:

24. Solve the equation. Check your answer. Additional Example 14:

25. Solve the equation. Check your answer. Additional Example 15:

26. Additional Example 4: Application Ciro deposits of the money he earns from mowing lawns into a college education fund. This year Ciro added $285 to his college education fund. Write and solve an equation to find out how much money Ciro earned mowing lawns this year. 1 4

27. Additional Example 4 Continued Write an equation to represent the relationship. earningsistimes $285 1 4  e = $285