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Mastering the Distributive Property for Terms Simplification

Learn to use the distributive property to simplify expressions and collect like terms efficiently. Understand the basics of combining terms with the same variables to the same power. Practice examples and apply the properties accurately to streamline your algebra skills.

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Mastering the Distributive Property for Terms Simplification

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  1. Lesson 1-4: The Distributive Property Objectives: (Do not write) Use the distributive property to multiply expressions. Students will use properties to collect and simply terms

  2. Like Terms- Have the same variables to same power 2) Collect like terms 5x + 4y + 2x – 3y Simplify all the way! 7x+y Distributive Property a(b + c) = ab + ac or a(b – c) = ab - ac A number next to parenthesis Gets multiplied to all terms inside • Examples • Multiply r(a + b + c) ra + rb + rc

  3. Multiplicative Property of -1: a • -1 = -a Inverse Sum Property: -(a + b) = -a + -b or -a – b A negative in front of parenthesis turns everything inside to its opposite! (Just distributing a -1) Example 3: -(-3x) -1*(-3x) 3x Example 4: -(-3x - 2y + 1) 3x +2y -1

  4. Review Skill:Factoring (monomial):Undoing the distributive propertyMake sure you find The GCF Example 5: 2l + 2w 2(l + w) This is important for much of what we do!! Learn it now!!! 5x is common to all terms (If your good, leave this step out!!) Example 6: 10x3-15x2 + 5x

  5. Marker Board • Simplify (Distribute and CLT) • 4x-15y-(-5x)+3y • 12x-5(3x-6) • 8g-5[-2+6(g +10)]-2(g+4)

  6. Factor

  7. Assignment • 1-4/24-25/1-84M4

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