Simplifying Expressions and Adding/Subtracting Polynomials

Algebra 1 O.T.Q. Simplify each expression by combining like terms. 1.4x + 2x 2. 3y + 7y 3. 8p – 5p 4. 5n + 6n2 Simplify each expression. 5. 3(x + 4) 6. –2(t + 3) 7. –1(x2 – 4x – 6) 6x 10y 3p not like terms 3x + 12 –2t – 6 –x2 + 4x + 6

What standard will I learn? 10.0 Students add, and subtract monomials and polynomials. What will I be able to do? Add and subtract polynomials

Add. A. (4m2 + 5) + (m2 – m + 6) (4m2+ 5) + (m2– m + 6) (4m2+m2) + (–m)+ (5 + 6) 5m2 – m + 11 B. (10xy + x) + (–3xy + y) (10xy + x) + (–3xy + y) (10xy– 3xy) + x +y 7xy+ x +y

6x2– 4y + –5x2+ y Add. C. (6x2 – 4y) + (3x2 + 3y – 8x2 – 2y) (6x2– 4y) + (3x2+ 3y –8x2– 2y) (6x2– 4y) + (3x2– 8x2 + 3y – 2y) (6x2– 4y) +(–5x2 + y) x2– 3y

To subtract polynomials, remember that subtracting is the same as adding the opposite. To find the opposite of a polynomial, you must write the opposite of each term in the polynomial: –(2x3 – 3x + 7) = –2x3 + 3x– 7

Subtract. (x3 + 4y) – (2x3) (x3 + 4y) + (–2x3) (x3 + 4y) + (–2x3) (x3– 2x3) + 4y –x3 + 4y

Subtract. (7m4 – 2m2) – (5m4 – 5m2 + 8) (7m4 – 2m2) + (–5m4+5m2– 8) (7m4– 2m2) + (–5m4+ 5m2 – 8) (7m4– 5m4) + (–2m2+ 5m2) – 8 2m4 + 3m2 – 8

SUMMARY

CLASSWORK Page 469 – 471 #’s 34 – 42 even, 52, 61, 69 HOMEWORK Page 469 - 471 #’s 54, 56, 84, 86

EXIT SLIP • Add or subtract. • (10pq + 3p) + (2pq – 5p + 6pq) 2. (2.5ab + 14b) – (–1.5ab + 4b)

Simplifying Expressions and Adding/Subtracting Polynomials