1. 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

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

3. 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

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

5. 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

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

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

8. SUMMARY

9. CLASSWORK HOMEWORK Page 469 – 471 #’s 34 – 42 even, 52, 61, 69

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