1. 3.1 – Simplifying Algebraic Expressions
Commutative Properties
Addition:
Multiplication:

2. 3.1 – Simplifying Algebraic Expressions
Associative Properties
Addition:
Multiplication:

3. 3.1 – Simplifying Algebraic Expressions
Distributive Property of Multiplication

4. 3.1 – Simplifying Algebraic Expressions
Definitions
Term: a number or a product of a number and variables raised
to a power.
Coefficient: the numerical factor of each term.
Constant: the term without a variable.
Like Terms: terms with the same variable factors, but may have different coefficients.

5. 3.1 – Simplifying Algebraic Expressions
Simplify each expression by combining like terms.

6. 3.1 – Simplifying Algebraic Expressions
Simplify each of the expressions by using the distributive property.
Simplify each of the expressions.

7. 3.1 – Simplifying Algebraic Expressions
Simplify each of the expressions.

8. 3.1 – Simplifying Algebraic Expressions
Find the perimeter of the square.
2x cm.
Find the area of the rectangular lawn.
3 yds.
(12y + 9) yds.

9. Addition and Multiplication Properties
3.2 – Solving Equations
Addition and Multiplication Properties

10. Addition and Multiplication Properties
3.2 – Solving Equations
Addition and Multiplication Properties

11. Addition and Multiplication Properties
3.2 – Solving Equations
Addition and Multiplication Properties

12. 3.2 – Solving Equations General Review
Translate each phrase into an algebraic expression. Use “x” as the number.
The sum of negative three an a number.
-3 + x
Negative five decreased by a number.
-5 - x
A number subtracted from eighty-three.
83 - x
The quotient of a number and -4.

13. 3.2 – Solving Equations General Review
Translate each phrase into an algebraic expression. Use “x” as the number.
The product of 5 and a number, decreased by 25.
5x - 25
Twice the sum of a number and 3.
2(x + 3)
The quotient of 29 and twice a number.