Bell Work 4m 8m 5m 12x 5 6x Write an expression in simplest form that will solve for the perimeter of each of the triangles. 6x x 18x + 5 8m +4m +5m 17m

The Distributive Property and Combining Like Terms

= -3(x) + (-3)(4) + (-3)(4) = -3x + (-12) + (-12) -2a + 4a + (-3) + 8 = 2a a – 3 + 4a (x + 4) -3(x + 4) Remember this… #1 #2 Standard Form Standard Form

1. Simplify 6(5 + n) – 2n +3y. Distributive Property. Multiply. 6(5 + n) – 2n + 3y n + (– 2n) + 3y 6(5) + 6(n) +(– 2n) + 3y n +3y Combine coefficients 6 + (– 2) = Simplify 3(c + 7) – c. Distributive Property. Multiply. 3(c + 7) – c 3c (–1c) 3(c) + 3(7) + (–1c) 2c + 21 Combine coefficients 3 + (– 1) = 2. Now we will use the distributive property first, then combine like terms second.

3. 4(5x + 2)  10x 4. -6(x - 5) + 3x Simplify. Distributive Property. (Keep Change Change) Multiply. Combine coefficients = 10. 4(5x) + 4(2) + (– 10x) 20x (– 10x) 10x + 8 Distributive Property. Multiply. Keep Change Change -6(x) – (-6)(5) + 3x -6x – (-30) + 3x -3x x x Combine coefficients = -3.

+ (-6a) + (-6a) + (-24) + (-24) -4a -4a -10a -10a + (-24) -4a – 3(2a + 8) Try this… -4a +(-3)(2a + 8)

How do I check my work? Verify that your expression is equivalent to the one given by evaluating each expression using substitution. Ex. Write in standard form 2(3a + 4) – 2 2(3a) + 2 (4) – 2 6a + 8 – 2 6a + 6 Now substitute a number into the expanded form and the standard form and see if you get the same answer. Lets use a = 2 Standard Expanded 6a + 6 2(3a + 4) – 2 6(2) ( ) – 2 Use order of operations! 2 (6 + 4) – 2 Parentheses first 2 (10) – 2 20 – 2 18

Add + Subtract - Multiply x Divide  Please Excuse My Dear Aunt Sally P E MDMD ASAS Parentheses ( ) Exponents 4 3 Do multiplication and division 3rd, from left to right. Do addition and subtraction 4th, from left to right. Review

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PRACTICE