1. Simplify Algebraic Expressions
Means
Combine Like Terms

2. 3x + 6 Algebraic Expression A number sentence with
At least one variable (letter or symbol)
No equals sign!
constant
3x + 6
variable
coefficient

3. Write this down! Term Ex. 4x + 5z – 6 + 7fg + 5x
A piece of an expression
Terms are separated by addition and subtraction
Ex.
4x + 5z – 6 + 7fg + 5x
There are 5 terms in this expression!

4. How many terms in these expressions?
5 + j2 2 terms
6 – 8t + 3r 3 terms
4 + 3g – 7k + 8k 4 terms
6h 1 term
5 + j2
6 – 8t + 3r
4 + 3g – 7k + 8k 6h

5. Write this down! Like Terms Ex. 4x + 5z – 6 + 7fg + 5x
Terms with exactly the same variable
(even powers on the variables match)
Ex.
4x + 5z – 6 + 7fg + 5x
4x and 5x are like terms!

6. Which terms in each expression are like terms?
3w2 + 4y – 7w2
4f2 – 2f + 4f2 + 4f3
4r – 7h + 3r + 10h
3 – y y + 5k
3w2 + 4y – 7w2
4f2 – 2f + 4f2 + 4f3
4r – 7h + 3r + 10h
3 – y y + 5k

7. Write this down! Combine Like Terms
Steps:
1. Put a circle around the first term.
2. Circle all like terms.
3. put a shape around the next term
4. put same shape around all like terms.
5. Repeat steps 3 and 4.
6. add the coefficients of each kind of term to
find your answer.

8. Write this down! Example: 4r + 6y – 3r + 4 – 2y 1r 4-3 = 1 + 4y
6 – 2 = 4
+ 4

9. You do this one! 3d2 + 4c – d2 + 2 + 10c + 4cd 2d2 + 2 + 14c + 4cd
2d c cd