Solving Multiplication and Division Equations. EXAMPLE 1 Solving a Multiplication Equation Solve the equation 3x = 45 3 3 x = 15 Check 3x = 45 3 (15)

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Presentation transcript:

Solving Multiplication and Division Equations

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

GUIDED PRACTICE for Example 1 Solve the equation. Check your solution. 6a = ANSWER 13b = ANSWER 8g = ANSWER 12n = ANSWER

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

GUIDED PRACTICE for Example 2 Solve the equation. Check your solution. 5. c 2 = ANSWER 17 ANSWER 6. d = 12 ANSWER 7. s 4 = ANSWER a 11.2 = 105 ANSWER 9. z 7 = ANSWER 10. r 6 5 =

Solving an Equation Using a Reciprocal

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

GUIDED PRACTICE for Example 3 Solve the equation. Check your solution r = 1 ANSWER =t 5 ANSWER 20 ANSWER p = 10

EXAMPLE 4 Standardized Test Practice 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. Blimps

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

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 m of the movie. 3m = 7.5; 2.5 h ANSWER