3 4 Solving Equations Containing Decimals Do Now

3 -4 Solving Equations Containing Decimals Do Now Solve. 1. x – 17 = 32 x = 49 3. w = 18 -5 w = -90 5. – 9 + x = 20 x = 29 2. y + 11 = 41 y = 30 4. -12 x = -108 x=9

3 -4 Solving Equations Containing Decimals Learn to solve one-step equations that contain decimals.

3 -4 Solving Equations Containing Decimals Remember! You can solve an equation by performing the same operation on both sides of the equation to isolate the variable.

3 -4 Solving Equations Containing Decimals Example A Solve. n – 2. 75 = 8. 3 + 2. 75 +2. 75 n = 11. 05 -4. 8 · x ·- 4. 8 -4. 8 = 5. 4 x = -25. 92 a + 32. 66 = 42 – 32. 66 a = 9. 34 -9 = 3. 6 d 3. 6 -2. 5 = d

3 -4 Solving Equations Containing Decimals You Try Solve. n – 1. 46 = 4. 7 + 1. 46 +1. 46 n = 6. 16 3. 5 · x = -2. 4 · 3. 5 x = -8. 4 a + 27. 51 = 36 – 27. 51 a = 8. 49 9 = -2. 5 d -2. 5 -3. 6 = d

3 -4 Solving Equations Containing Decimals Extra Example A board-game box is 2. 5 inches tall. A toy store has shelving measuring 15 inches vertically in which to store the boxes. How many boxes can be stacked in the space? 2. 5 b = 15 2. 5 b=6 Six boxes can be stacked in the space.

3 -4 Solving Equations Containing Decimals Extra Example A canned good is 4. 5 inches tall. A grocery store has shelving measuring 18 inches vertically in which to store the cans. How many cans can be stacked in the space? 4. 5 c = 18 4. 5 c=4 Four cans can be stacked in the space.

3 -4 Solving Equations Containing Decimals Lesson Quiz Solve. 1. x – 14. 23 = 19. 5 x = 33. 73 c = – 8. 2 2. 12. 6 c = – 103. 32 x x = 56. 73 3. = 6. 1 9. 3 4. m + 12. 97 =– 14. 35 m = – 27. 32 5. The French Club is selling coupon books for $8. 25 each. How many books must be sold to bring in $5, 940? 720 books

3 -4 Solving Equations Containing Decimals Lesson Quiz for Student Response Systems 1. Solve. m + 13. 55 = – 15. 45 A. m = – 28 B. m = – 29 C. m = – 30 D. m = – 31

3 -4 Solving Equations Containing Decimals Lesson Quiz for Student Response Systems 2. Solve. x – 16 = 18. 7 A. x = – 35. 13 B. x = – 2. 27 C. x = 2. 27 D. x = 35. 13

3 -4 Solving Equations Containing Decimals Lesson Quiz for Student Response Systems 3. Solve. 14. 8 a = – 102. 12 A. a = 7. 3 B. a = 6. 9 C. a = – 6. 9 D. a = – 7. 3

3 -4 Solving Equations Containing Decimals Lesson Quiz for Student Response Systems 4. Solve. x — = 7. 2 8. 6 A. x = 56. 13 B. x = 61. 92 C. x = 63. 02 D. x = 64

3 -4 Solving Equations Containing Decimals Lesson Quiz for Student Response Systems 5. A fashion show ticket costs $7. 75 person. How many fashion show tickets must be sold to generate $4, 805? A. 600 tickets B. 620 tickets C. 640 tickets D. 660 tickets