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# Lste final project

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### Lste final project

1. 1. Algebraic Equations 6th Grade Mathematics Class Tracey Wilson
2. 2. Goals • Constants • Variables • Simple Algebraic Equations
3. 3. Algebraic Equations Overview We are about to take a journey into the wonderful world of mathematics. As we begin our adventure you should keep in mind two words: constant and variable. By the end of this lesson you will be capable of solving simple algebraic equations!
4. 4. Constants In mathematics, constants are numbers that stand alone or letters that stand in for a pre-determined number. Letters that are considered constants are represented by letters such as a, b or c. Constant Constant Constant
5. 5. Variables In mathematics, a variable is a letter such as x, y or z that stands for an unknown number. Variable Variable
6. 6. Food for Thought • In algebraic expressions everything is either a constant or a variable. If it is not a constant then it is a variable!
7. 7. Problem #1
8. 8. Answer #1 Variable Constant Variable Constant Constant
9. 9. The “How To” Part I When working an algebraic equations it is important that you remember to group all of the constants and all of the variables together. Otherwise, all the constants should be on one side while all the variables should be on the other side. To move a constant or a variable across the equal sign you must use the opposite operator on both sides of the equation. Subtraction x-5=15 Addition +5 +5 x=15+5 Variable Constant Constant
10. 10. The “How To” Part II 4x-5=15 In the previous slide you were shown how to move constants and variables around the equations. Now, let us take it a step further by solving an entire equation. To solve, you simply follow the two rules listed previously.
11. 11. The “How To” Part II 4x-5=15 +5 +5 In the previous slide you were shown how to move constants and variables around the equations. Now, let us take it a step further by solving an entire equation. To solve, you simply follow the two rules listed previously.
12. 12. The “How To” Part II 4x-5=15 +5 +5 4x=20 In the previous slide you were shown how to move constants and variables around the equations. Now, let us take it a step further by solving an entire equation. To solve, you simply follow the two rules listed previously.
13. 13. The “How To” Part II In the previous slide you were shown how to move constants and variables around the equations. Now, let us take it a step further by solving an entire equation. To solve, you simply follow the two rules listed previously.
14. 14. The “How To” Part II In the previous slide you were shown how to move constants and variables around the equations. Now, let us take it a step further by solving an entire equation. To solve, you simply follow the two rules listed previously.
15. 15. The “How To” Part II In the previous slide you were shown how to move constants and variables around the equations. Now, let us take it a step further by solving an entire equation. To solve, you simply follow the two rules listed previously.
16. 16. Food for Thought No matter how difficult the problem may seem you must always remember to 1) move all constants to one side and all variables to the other side of the equation and 2) use the opposite operator to move a constant or variable across the equal sign.
17. 17. Example #1 In the following problem solve for y.
18. 18. Example #1 In the following problem solve for y.
19. 19. Example #1 In the following problem solve for y.
20. 20. Example #1 In the following problem solve for y.
21. 21. Example #1 In the following problem solve for y.
22. 22. Example #1 In the following problem solve for y.
23. 23. Example #1 In the following problem solve for y.
24. 24. Example #2 In the following problem solve for x.
25. 25. Example #2 In the following problem solve for x.
26. 26. Example #2 In the following problem solve for x.
27. 27. Example #2 In the following problem solve for x.
28. 28. Example #2 In the following problem solve for x.
29. 29. Example #2 In the following problem solve for x.
30. 30. Example #2 In the following problem solve for x.
31. 31. Problem #2 In the following problem solve for y.