8.3 Simplifying Algebraic Expressions
Name: ______________________
Use the Distributive Property to rewrite each expression. 2(x + 3) =
3(2a – 1) =
2a – 1 3(2a – 1) –2(d – 3) =
Now, try without the tiles:
Use the Distributive Property to rewrite each expression. 1. 2(c + 6)
2. –4(w + 6)
3. (b – 4)(–3)
Vocabulary Review: When a plus sign separates an algebraic expression into parts, each part is called a ___________.
In terms that contain a variable, the numerical part of the term is called the _________________ of the variable.
A term without a variable is called a ________________.
New Vocabulary:
__________________________ contain the same variables, such as 3x and 2x to the same exponent.
LIKE TERMS:
NOT LIKE TERMS:
4. Identify the like terms: 4m – 2 + 3m + 5;
a – 1 + 2 + 4a
Like terms: ________________________ Like terms: ________________________ Use the commutative property to put like terms next to each other Simplify: Simplify: Simplify each expression. Use the commutative property to put like terms next to each other; then simplify by combining like terms. 4. 4x + 8 +3x – 2
5. 4(2 + 3m) + 5
An algebraic expression is in simplest form if it has NO _________________ and NO ___________________.
Simplify each expression. 5. 3d + 6d
6. 2 + 5s – 4
7. 2z + 3 + 9z – 8
9. 10k – k
10. 3b + 8 + 2b
8. h + 6h
11. 4 + 5v + v
12. –2f + 3 – 2f – 8
13. –7s – 5 – 7s + 9
15. 6 + (g – 7)13
16. 7(6 – 9x) – 3
14. 9(5 – 7a ) + 7a
17. 4(x – 3) + 5 18. –2(x – 4) + 5x 19. 9w + 3(4w – 5) Identify the expression that is not equivalent to the other three. 20. At the Beltway Outlet store, you buy x computer 21. Write an expression in simplest form for the games for $13 each and a magazine for $4. Write an perimeter of the triangle below. expression in simplest form that represents the total amount of money you spend.