1.4 Distributive - Objective The student will be able to use the distributive property to simplify expressions SOL A.3 Designed by Skip Tyler Varina

# 1.4 Distributive - Objective The student will be able to...

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Objective The student will be able to: use the distributive property to simplify expressions. SOL: A.3 Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School
The Distributive Property The process of distributing the number on the outside of the parentheses to each term on the inside. a(b + c) = ab + ac and (b + c) a = ba + ca a(b - c) = ab - ac and (b - c) a = ba - ca Example #1 5(x + 7) 5 • x + 5 • 7 5x + 35
Example #2 3(m - 4) 3 • m - 3 • 4 3m - 12 Example #3 -2(y + 3) -2 • y + (-2) • 3 -2y + (-6) -2y - 6
Which statement demonstrates the distributive property incorrectly ? 12345678910111213141516171819202122232425262728293031323(x + y + z) = 3x + 3y + 3z(a + b) c = ac + bc5(2 + 3x) = 10 + 3x6(3k - 4) = 18k - 240%0%0%0%1.3(x + y + z) = 3x + 3y + 3z2.(a + b) c = ac + bc3.5(2 + 3x) = 10 + 3x4.6(3k - 4) = 18k - 24Answer Now
A term is a 1) number, 2) variable, or 3) a product / quotient of numbers and variables. Example 5 m 2x 2
The coefficient is the numerical part of the term. Examples 1) 4a 4 2) y 2 1 3) 5 x 2 7 5 7
Like Terms are terms with the same variable AND exponent.
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