Solving 2 step equations
- 1. A number multiplied by three is 27. A number divided by eight is two. A number tripled and increased by ten is 22.
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- 5. Adding and subtracting Integers Multiplying and dividing Integers Properties of Addition Properties of Multiplication Solving one-step equations ◦ x – 12 = 22 ◦ 4x = 48
- 6. Students will learn to… ◦ Solve 2-step equations.
- 7. Each group will read about a method used to solve 2 step equations. After your group has read the selection, your job is to teach it to another group. Each group member must have a role.
- 8. Write down any questions you have about your method. Prepare to teach your method to the class or other groups…
- 9. With your group, prepare a lesson to teach your method to the class using the above problem. Solve 2 step equations.
- 10. Without guess and check, what steps are used to solve this equation? Goal: Isolate the variable Question: How can I get the variable by itself? How is this process related to the order of operations? x=4
- 11. Order of Operations – backwards ◦ 1) Combine like terms ◦ 2) Undo addition or subtraction ◦ 3) Undo multiplication or division Like terms: 3x + 5 + 5 = 22
- 12. Simplify by combining like terms ◦ 5x + 12 + (-9) = 8 ◦ 5x + 3 = 8 Undo addition or subtraction ◦ 5x + 3 = 8 ◦ - 3 = -3 ◦ 5x = 5 Undo multiplication or division ◦ 5x = 5 ◦ 5 5 ◦ x=1
- 13. Simplify by combining like terms ◦ 2x + x + 10 = 25 ◦ 3x + 10 = 25 Undo addition or subtraction ◦ 3x + 10 = 25 ◦ - 10 = -10 ◦ 3x = 15 Undo multiplication or division ◦ 3x = 15 ◦ 3 3 ◦ x=5
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