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Solving equations with Rational Coefficients

Solving equations with Rational Coefficients. Remember this???. 22 = 14 + z. y – 8 = 12. 5 ÷ x = 30. 11a = 121. EQUATION – mathematical sentence formed by placing an “=“ between two expressions. Equation. Remember this???. x. + 7 = 10. Left side. Right side.

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Solving equations with Rational Coefficients

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  1. Solving equations with Rational Coefficients Remember this??? 22 = 14 + z y– 8 = 12 5 ÷ x = 30 11a = 121 EQUATION – mathematical sentence formed by placing an “=“ between two expressions

  2. Equation Remember this??? x + 7 = 10 Left side Right side ‘x’ has to be 3 in order to make the equation balanced. Like a scale, the left side and right side must be the same in order to be balanced!

  3. Equation 4 7 x = 10 Right side Left side Like a scale, the left side and right side must be the same in order to be balanced!

  4. Objective • SWBAT use multiplicative inverses to solve equations with rational coefficients. • Coefficient is the numerical factor of a term that contains a variable 18x + 4 = 360 ¾x = 18 3.15 = 0.45n

  5. Section 5.6, “Using Multiplicative Inverses to Solve Equations” MULTIPLICATIVE INVERSE = RECIPROCAL

  6. MULTIPLICATIVE INVERSE– the product of a number and its multiplicative inverse is 1.

  7. Solve for x. Multiply each side of the equation by the MULTIPLICATIVE INVERSE of 4/7 Multiply -3 Divide (cancel) common factors 1

  8. Try It Out!!Solve

  9. Solve equations with decimal coefficients To solve an equation with a decimal coefficient, divide each side of the equation by the coefficient 3.15 = .45n 3.15 = .45n Division property of equality .45 .45 7 = n Simplify

  10. Solving Multi-Step Equations Remember this??? How can you get the “unknown” by itself?

  11. Solve for x. Subtract 4/5 from each side. Write fractions using LCD Multiply each side of the equation by the MULTIPLICATIVE INVERSE of -7/15 -1 Multiply Divide (cancel) common factors 1

  12. Try It Out!!Solve

  13. Homework • Text page 249, #12-32 evens

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