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Today: 3.4 Instruction

Optimism is the faith that leads to achievement. Nothing can be done without hope and confidence. Helen Keller. Algebra 1. Today: 3.4 Instruction. Optimism is the faith that leads to achievement. Nothing can be done without hope and confidence. Helen Keller. Algebra 1. Assignment:

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Today: 3.4 Instruction

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  1. Optimism is the faith that leads to achievement. Nothing can be done without hope and confidence. Helen Keller Algebra 1 Today: • 3.4 Instruction

  2. Optimism is the faith that leads to achievement. Nothing can be done without hope and confidence. Helen Keller Algebra 1 Assignment: • 3.3 p148 #10-40 evens, 41-43, 51, 52, 57, 58 – SHOW WORK

  3. 3.3 CHECK UP Solve the equations.

  4. Quiz 3.1-3

  5. Objectives: Solve equations with variables on both sides. Solve equations with variables in the Real World. Vocabulary: none Solving Equations with Variables on Both Sides 3.4

  6. Solving Equations with Variables on Both Sides 3.4 When solving equations you must balance both side. • Simplify both sides of the equation. • Put variable on 1 side. • Do the opposite operation to both sides. • Addition/Subtraction • Multiplication/Division • Check! PEMA AMEP

  7. Example 1 Collect Variables on One Side • Simplify both sides of the equation. • Put variable on 1 side. • Do the opposite operation to both sides. • Addition/Subtraction • Multiplication/Division • Check! Solve the equations. ü

  8. Example 1 Collect Variables on One Side • Simplify both sides of the equation. • Put variable on 1 side. • Do the opposite operation to both sides. • Addition/Subtraction • Multiplication/Division • Check! Solve the equations. ü

  9. Example 1 Collect Variables on One Side • Simplify both sides of the equation. • Put variable on 1 side. • Do the opposite operation to both sides. • Addition/Subtraction • Multiplication/Division • Check! Solve the equations. ü

  10. Example 1 Collect Variables on One Side • Simplify both sides of the equation. • Put variable on 1 side. • Do the opposite operation to both sides. • Addition/Subtraction • Multiplication/Division • Check! Solve the equations. ü

  11. Example 1 Collect Variables on One Side • Simplify both sides of the equation. • Put variable on 1 side. • Do the opposite operation to both sides. • Addition/Subtraction • Multiplication/Division • Check! Solve the equations. ü

  12. Example 1 Collect Variables on One Side • Simplify both sides of the equation. • Put variable on 1 side. • Do the opposite operation to both sides. • Addition/Subtraction • Multiplication/Division • Check! Solve the equations. ü

  13. Example 1 Collect Variables on One Side • Simplify both sides of the equation. • Put variable on 1 side. • Do the opposite operation to both sides. • Addition/Subtraction • Multiplication/Division • Check! Solve the equations. ü

  14. Example 1 Collect Variables on One Side ü Solve the equations.

  15. Objectives: Solve equations with variables on both sides. Solve equations with variables in the Real World. Vocabulary: none Solving Equations with Variables on Both Sides 3.4

  16. Example 2 Identify the Number of Solutions ü Solve the equations. one solution

  17. Example 2 Identify the Number of Solutions ü Solve the equations. an identityinfinite solutions

  18. Example 2 Identify the Number of Solutions ü Solve the equations. no solutions

  19. Solving Equations with Variables on Both Sides 3.4 • After the variable is eliminated, if what is left is: • true – infinite solutions, an identity • false – no solutions

  20. Example 2 Identify the Number of Solutions ü Solve the equations. infinitesolutions

  21. Example 2 Identify the Number of Solutions ü Solve the equations. no solutions

  22. Example 2 Identify the Number of Solutions ü Solve the equations. x = 0

  23. Example 2 Identify the Number of Solutions Determine the number of solutions without solving. 7y + 3 = 7y + 4 6y + 3 = 3 + 6y 3y + 8 = 8 + 4y 10 – 11y = 10 + 11y 15a + 2 = 10a + 3 + 5a no solutions infinite solutions no solutions one solution no solutions

  24. Example 3 Real World: Solving Equations Accounting Barney has $450 and spends $3 each week. Betty has $120 and saves $8 each week. How many weeks will it take for them to have the same amount of money?

  25. Example 3 Real World: Solving Equations Accounting You Try This! Fred has $100 and saves $4 each week. Wilma has $28 and saves $10 each week. How long will it take for them to have the same amount of money? What is that amount?

  26. Optimism is the faith that leads to achievement. Nothing can be done without hope and confidence. Helen Keller Algebra 1 Assignment: • 3.4 p157 #18 - 46 • SHOW WORK

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