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Transparency 5. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 5-3c. Objective. Solve two-step equations. Example 5-3c. Vocabulary. Two-step equations. Equations that have two different operations to solve the equation. Lesson 5 Contents.

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  1. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 5-3c Objective Solve two-step equations

  4. Example 5-3c Vocabulary Two-step equations Equations that have two different operations to solve the equation

  5. Lesson 5 Contents Example 1Solve a Two-Step Equation Example 2Solve a Two-Step Equation

  6. Example 5-1a Write the equation. Ask “what is being done to the variable and coefficient?” 2y + 4 = -2 2y is being added by 4 = -2 - 4 - 4 2y + 4 Do the inverse on each side to “undo” the addition Bring down 2y + 4 Subtract 4 Bring down = - 2 Subtract 4 1/2

  7. Example 5-1a Bring down 2y Combine “like” terms 2y + 4 = -2 Bring down = = -2 - 4 - 4 2y + 4 Combine “like” terms 2y + 0 = -6 Use the Identity Property of Addition to add 2y + 0 2y = - 6 Ask “what is being done to the variable?” The variable is being multiplied by 2 1/2

  8. Example 5-1a Do the inverse on each side to “undo” the multiplication 2y + 4 = -2 Bring down 2y = - 6 = -2 - 4 - 4 2y + 4 Using the fraction bar, divide both sides by 2 2y + 0 = -6 Combine “like” terms 2y = - 6 Bring down  y = 2y = - 6 Combine “like” terms 2 2 Use the Identity Property of Multiplication to multiply 1  y  y = - 3 1 Answer: y = - 3 1/2

  9. Example 5-1b Answer: h = 2 1/2

  10. Example 5-2a Write the equation. Ask “what is being done to the variable and coefficient?” 4b - 2 = 6 4b is being subtracted by 2 + 2 + 2 4b - 2 = 6 Do the inverse on each side to “undo” the subtraction Bring down 4b - 2 Add 2 Bring down = 6 Add 2 2/2

  11. Example 5-2a Bring down 4b Combine “like” terms 4b - 2 = 6 Bring down = + 2 + 2 4b - 2 = 6 Combine “like” terms 8 4b + 0 = Use the Identity Property of Addition to add 4b + 0 4b = 8 Ask “what is being done to the variable The variable is being multiplied by 4 2/2

  12. Example 5-2a Do the inverse on each side to “undo” the multiplication 4b - 2 = 6 Bring down 4b = 8 + 2 + 2 4b - 2 = 6 Using the fraction bar, divide both sides by 4 8 4b + 0 = 4b = 8 Combine “like” terms 4b = 8 Bring down  b = 4 4 Combine “like” terms  b = 2 1 Use the Identity Property of Multiplication to multiply 1  b Answer: b = 2 2/2

  13. Example 5-2b Answer: f = 4 2/2

  14. End of Lesson 5 Assignment

  15. Example 5-3a MOVIE NIGHT Three friends went to the movies. The tickets cost $6 each. They bought 2 large popcorns to share. If they spent a total of $24 at the movies, how much did a large popcorn cost? Words The cost of 2 large popcorns plus 3 tickets is $24. The cost of 2 large popcorns plus 3 tickets is $24. The cost of 2 large popcorns plus 3 tickets is $24 Variable Two popcorns at $p each plus tickets costs $24 Equation 2p 3/3

  16. Example 5-3b Solve equation Ask “what is being done to the variable?” First 2p is being added by 18 2p +18 - 18 = 24 - 18 Do the inverse on each side to “undo” the addition 2p + 0 = 6 2p + 0 = 6 2p = 6 Simplify. Next p is being multiplied by 2 Do the inverse on each side to “undo” the multiplication 1  p = 3 Simplify. Answer: A large popcorn cost $3 3/3

  17. Example 5-3c * SHOPPING Jen went to her favorite store at the mall. She bought 3 t-shirts which cost $12 each. She also bought 2 pairs of the same jeans. If Jen spent a total of $80 at the store, how much did each pair of jeans cost? 3(12) + 2x = 80 Answer: $22 for each pair of jeans 3/3

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