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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. 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. California Standards.

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Warm Up

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  1. Preview Warm Up California Standards Lesson Presentation

  2. 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

  3. California Standards Algebra & Functions (AF1.1) - Write and solve one-step linear equations in one variable.

  4. Objective: You will learn how to solve whole number equations by multiplying.

  5. Multiplying by a number is the inverse of dividing by that number. 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 7 = 7 5 7 Check 5 = 5 Example 1: Solving Equations by Multiplying Solve the equation. Check your answer. x is divided by 7. 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 6 13 = 6 6 Check 13 = 13 Example 2: Solving Equations by Multiplying Solve the equation. Check your answer. p is divided by 6. 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 2 = 2 9 2 Check 9 = 9 Check It Out! Example 3 Solve the equation. Check your answer. x is divided by 2. 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 4 72 = 4 4 Check 288 72 = 4 72 = 72 Check It Out! Example 4 Solve the equation. Check your answer. p is divided by 4. 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 Example 5: 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 w 2 2 95 = 2 Check It Out! Example 6 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. Substitute 95 for Jamie’s weight. w is divided by 2. Multiply both sides by 2 to undo the division. 190 = w Jamie’s father weighs 190 pounds.

  12. Procedure

  13. Home Learning On-Line Tutoring

  14. 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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