1. The Distributive Property & Combining Like Terms

2. T HE D ISTRIBUTIVE P ROPERTY a(b + c) = ab + ac (b + c)a = ba + ca 2(x + 5) 2(x) + 2(5)2x + 10 (x + 5)2(x)2 + (5)2 2x + 10 (1 + 5x)2 (1)2 + (5x)2 2 + 10x y(1 + x) y(1) +y(x) y + xy U SING THE D ISTRIBUTIVE P ROPERTY = = = = = = = = The product of a and (b + c): BACK

3. –(y – 5) = (y)(–1) + (–5)(–1) = –y + 5 –(7 – 3x) = (–1)(7) + (–1)(–3x) = –7 + 3x = –3 – 3x (–3)(1 + x)= (–3)(1) + (–3)(x) Simplify. Distribute the –3. Simplify. Distribute the –1. Simplify. –a = –1 a U SING THE D ISTRIBUTIVE P ROPERTY Remember that a factor must multiply each term of an expression. Forgetting to distribute the negative sign when multiplying by a negative factor is a common error. BACK

4. Combining Like Terms

5. Like Terms are expressions that contain the same variable raised to the same power like 4mn and 7mn. Combine like terms. S IMPLIFYING BY C OMBINING L IKE T ERMS 4x 2 + 2 + x 2 - 6 11x +y The 8x and 3x are like terms and can be combined. 8x + 3x + y 4x 2 +1 x 2 + 2 - 6 Group like terms. 5x 2 - 4 BACK

7. Combine like terms with parenthesis… BACK