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Course 1. Division Equations. 2-8. Warm Up. Problem of the Day. Lesson Presentation. Course 1. Division Equations. 2-8. Course 1. Warm Up Solve. 1. 5 x = 20 2. 7 n = 84 3. 18 = y – 4 4. 21 = n + 3. x = 4. n = 12. y = 22. n = 18. Course 1. Problem of the Day

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Course 1

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  1. Course 1 Division Equations 2-8 Warm Up Problem of the Day Lesson Presentation Course 1

  2. Division Equations 2-8 Course 1 Warm Up Solve. 1. 5x = 20 2.7n = 84 3. 18 = y – 4 4. 21 = n + 3 x = 4 n = 12 y = 22 n = 18 Course 1

  3. Problem of the Day If 11 is 4 less than 3 times a number, what is the number? 5

  4. Learn to solve whole-number division equations.

  5. Multiplication is the inverse of division. When an equation contains division, use multiplication to “undo” the division.

  6. 35 x x x = 5 = 5 = 5 = 5 7 7 7 7 x is divided by 7. x 7 = 7 5 7 Check ? ? 5 = 5 Additional Example 1A: Solving Division Equations Solve the equation. Check your answer. Multiply both sides by 7 to undo the division. x = 35 Substitute 35 forx in the equation. 35 is the solution. 

  7. 78 p p p 13 = 13 = 13 = 13 = 6 6 6 6 p is divided by 6. p 6 13 = 6 6 Check ? ? 13 = 13 Additional Example 1B: Solving Division Equations Solve the equation. Check your answer. Multiply both sides by 6 to undo the division. 78 = p Substitute 78 forp in the equation. 78 is the solution. 

  8. 18 x x x = 9 = 9 = 9 = 9 2 2 2 2 x is divided by 2. x 2 = 2 9 2 Check ? ? 9 = 9 Check It Out: Example 1A Solve the equation. Check your answer. Multiply both sides by 2 to undo the division. x = 18 Substitute 18 forx in the equation. 18 is the solution. 

  9. p p p 72 = 72 = 72 = 4 4 4 p is divided by 4. p 4 72 = 4 4 Check 288 ? 72 = 4 ? 72 = 72 Check It Out: Example 1B Solve the equation. Check your answer. Multiply both sides by 4 to undo the division. 288 = p Substitute 288 forp in the equation. 288 is the solution. 

  10. h 3 14 = 3 3 h Substitute 14 for height of aspen. h is divided by 3. 14 = 3 Additional Example 2: Application At Elk Meadows Park an aspen tree is one-third the height of a pine tree. height of pine height of aspen = 3 The aspen tree is 14 feet tall. How tall is the pine tree? Let h represent the height of the pine tree. Multiply both sides by 3 to undo the division. 42 = h The pine tree is 42 feet tall.

  11. w 95 = 2 Substitute 95 for Jamie’s weight. w is divided by 2. w 2 2 95 = 2 Check It Out: Example 2 Jamie weighs one-half as much as her father. father’s weight Jamie’s weight = 2 Jamie weighs 95 pounds. How many pounds does her father weigh? Let w represent her father’s weight. Multiply both sides by 2 to undo the division. 190 = w Jamie’s father weighs 190 pounds.

  12. x x x x 10 15 4 9 Lesson Quiz Solve each equation. Check your answers. 1. = 7 2. 8 = 3. = 11 4. = 7 x = 70 x = 32 x = 99 x = 105 5. The area of Sherry’s flower garden is one- fourth the area of her vegetable garden. The area of the flower garden is 17 square feet. Let x represent the area of her vegetable garden. Find the area of her vegetable garden? 68 square feet

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