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Algebra – 2.13

Algebra – 2.13. FOCUS ON THE DISTRIBUTIVE PROPERTY. What’s wrong here? Solving: 40 – 4(x + 3) = 7x – 5. Remember expansion boxes?. Multiply: 327 x 6: Add: 1800 + 120 + 42 = 1962. Use them to visualize the Distributive Property. 7(3x – 4).

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Algebra – 2.13

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  1. Algebra – 2.13 FOCUS ON THE DISTRIBUTIVE PROPERTY

  2. What’s wrong here?Solving: 40 – 4(x + 3) = 7x – 5

  3. Remember expansion boxes? • Multiply: 327 x 6: • Add: 1800 + 120 + 42 = 1962

  4. Use them to visualize the Distributive Property • 7(3x – 4)

  5. Use expansion boxes to expand these expressions: • 3(16 – 2x) • 7 – 5(y – 11) • 2(3z + 1) – (z – 6) • 11(a + 5b – 3c)

  6. Solve the equations. • 3(16 – 2x) = 12 • 7 – 5(y – 11) = 27 • 2(3z + 1) – (z – 6) = 40 • 5(j – 3) = 10(j – 2) • -(s + 2) = 4(s + 1) • -(z + 2/3) = z • 2(2x + 1) – 3(x – 5) = 18

  7. What’s wrong with this? • Using expansion boxes or some other method, show that (a+b)2 does not necessarily equal a2 + b2.

  8. Use this array to show that4(a+b) = 4a + 4b a a a a b b b b Create an array that shows that7(x+y+z) = 7x + 7y + 7z

  9. 2C REFLECTIONS • Determine whether x = -3 is a solution: • 4x + 1 = 2x – 5 x – 4 = -2x • 2(x + 1) + 5 = x + 2 2x + 3 – 4x = -3x • Solve each equation:

  10. MORE REFLECTIONS • How can you solve an equation for which backtracking does not work? • How can you visualize an equation using the number line? What about shapes? Try, for example: 5x = x + 24

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