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Solving Word Problems w/ Algebra

Solving Word Problems w/ Algebra . To solve for a variable you must isolate the variable by using the “inverse” operation on both sides (what do to one side you must do to the other) Ask yourself “How do I make something zero”. Algebra. You must make both sides of the equation equal.

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Solving Word Problems w/ Algebra

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  1. Solving Word Problems w/ Algebra

  2. To solve for a variable you must isolate the variable by using the “inverse” operation on both sides • (what do to one side you must do to the other) • Ask yourself “How do I make something zero” Algebra

  3. You must make both sides of the equation equal. • Example: e + 3 = 14 • e +3 -3 = 14 -3 (Inverse operation) • e = 11

  4. For an equation using addition, what is the inverse operation. • t + 4 = 17 • t +4 -4 = 17 -4 • t = 13 Example

  5. For equations using subtraction, what is the inverse operation? • u -8 = 2 • U – 8 +8 = 2 + 8 • Addition undoes subtraction, and subtraction undoes addition. • They are INVERSE operations

  6. To use inverse operations on both sides of an equation so the variable is by itself on one side Isolate

  7. Dani says that the equation j + 7 = 12 and 7 + j =12 cannot be solved the same way. What would you say?

  8. Solve h- 25 = -11 • Step 1: What is the operation of the equation? • Step 2: Inverse operation? • Step 3: Isolate • Step 4: Simplify Example

  9. Solve d ◦ 11 = 99 • What operation is being used?

  10. 12n =48

  11. What is Order of Operations?

  12. In two step equations, you will be doing 2 different inverse operations. • First, focus on the operations that does not involve the variable. • Example: 8v+5 = 13 • 8v +5 -5 =13 -5 Two-Step Algebraic Equations

  13. Second, focus on the operation that is associated with the variable. • Example: 8v = 8 • What is the inverse operation? • 8v ÷ 8 = 8 ÷ 8 v = 1

  14. 5q -50 = 25 Solve

  15. (g-8) / 5 = -13

  16. s/4 + 3 = 9

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