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Solving Multiplication and Division Equations

Solving Multiplication and Division Equations. 3 x = 45. 3. 3. . 45 = 45. 3 ( 15 ) 45. =. EXAMPLE 1. Solving a Multiplication Equation. 3 x = 45. Solve the equation. 3 x = 45. Write original equation. Divide each side by 3. x = 15. Simplify.

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Solving Multiplication and Division Equations

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  1. Solving Multiplication and Division Equations

  2. 3x = 45 3 3  45 = 45 3 (15) 45 = EXAMPLE 1 Solving a Multiplication Equation 3x = 45 Solve the equation 3x = 45 Write original equation. Divide each side by 3. x = 15 Simplify. Write original equation. Check 3x= 45 Substitute 15 for x. Solution checks.

  3. 13b = 65 6a = 54 8g = 88 1. 2. 3. 11 9 9 ANSWER ANSWER ANSWER 5 ANSWER 12n = 108 4. GUIDED PRACTICE for Example 1 Solve the equation. Check your solution.

  4. = 0.75 = 0.75. = 0.75. = 0.75. 2 = 2 0.75 1.5 x x x x 2 2 2 2 2 EXAMPLE 2 Solving a Division Equation Solve the equation Write original equation. Multiply each side by 2. x = 1.5 Simplify. Write original equation. Check Substitute 1.5 for x. 0.75 = 0.75 Solution checks.

  5. z = 15 5 = c a 7 = 13 5. 8. 11.2 = 2 10 r 17 112 26 ANSWER ANSWER ANSWER 6 d 6. 3.4 = 9. 5 105 30 ANSWER ANSWER s 10. 7. = 3 4 12 ANSWER GUIDED PRACTICE for Example 2 Solve the equation. Check your solution.

  6. Solving an Equation Using a Reciprocal

  7. 3 3 2 2 x 4 = 4 = x 2 3 2 3 x Multiply each side by , ( 4) = the reciprocal of ) ) ( ( 2 2 2 3 3 3 EXAMPLE 3 Solving an Equation Using a Reciprocal Solve the equation Write original equation. 6 = x Simplify.

  8. p = 10 r = 1 11. ANSWER 12. 2 = t 20 5 ANSWER ANSWER 13. 1 2 5 4 2 4 5 5 GUIDED PRACTICE for Example 3 Solve the equation. Check your solution.

  9. Blimps A blimp travels 300 miles in 7.5 hours. The blimp travels at a constant speed. In Example 4, you’ll write and solve a multiplication equation to find the speed of the blimp. EXAMPLE 4 Standardized Test Practice

  10. = 7.5r 300 7.5 7.5 The speed of the blimp is 40 miles per hour. The correct answer is C ANSWER EXAMPLE 4 Standardized Test Practice SOLUTION Use the formula d = rt. d = rt Write formula for distance. 300 = r (7.5) Substitute 300 for d and 7.5 for t. Divide each side by 7.5. 40 = r Simplify.

  11. 3m = 7.5; 2.5 h ANSWER GUIDED PRACTICE for Example 4 Movie Length A movie is sold as a DVD set that includes 7.5 hours of bonus material. This is 3 times as long as the movie itself. Write and solve an equation to find the length mof the movie.

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