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Mastering Equations: Solve Using Multiplication and Division Techniques

This lesson equips students with the skills to solve equations using multiplication and division. Designed by Skip Tyler at Varina High School, the objective is to help students isolate variables by performing the opposite operations, ensuring a strong foundation in algebra. The lesson includes step-by-step examples such as solving equations like -5t = 60 and understanding how to eliminate fractions by multiplying both sides by the denominator. Students will learn to simplify expressions, verify their answers, and develop problem-solving strategies.

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Mastering Equations: Solve Using Multiplication and Division Techniques

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  1. ObjectiveThe student will be able to: solve equations using multiplication and division. Designed by Skip Tyler, Varina High School

  2. 1) Solve. -5t = 60 To get the variable by itself, which number needs to be moved? -5 To move the -5, you have to do the opposite operation. What operation will we use? division

  3. 1) Solve -5t = 60 -5 -5 t = -12 -5(-12) = 60 • Draw “the river” to separate the equation into 2 sides • Divide both sides by -5 • Simplify • Check your answer

  4. 6 6 2.5 = n 15 = 6(2.5) • Draw “the river” • Divide both sides by 6 • Simplify • Check your answer 2) Solve 15 = 6n

  5. Answer Now 3) Solve -3v = -129 • v = -126 • v = -43 • v = 43 • v = 126

  6. 4) Solve You don’t like fractions? Let’s get rid of them!  “Clear the fraction” by multiplying both sides of the equation by the denominator.

  7. Draw “the river” • Clear the fraction – multiply both sides by 4 • Simplify • Check your answer 4) Solve 4 ·· 4 x = -48

  8. 5) Solve = 18 3 · = 18 · 3 2x = 54 2 2 x = 27 • Draw “the river” • Clear the fraction – multiply both sides by 3 • Simplify • Divide both sides by 2 • Simplify • Check your answer

  9. Answer Now 6) Which step clears the fraction in • Multiply by 3 • Multiply by 5 • Multiply by -12 • Multiply by -5

  10. Answer Now 7) Solve • b = -56 • b = -14 • b = 14 • b = 56

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