1. Question of the Day Solve for b: 2b + 7 = 15

2. Expressions and Equations Collecting Like Terms and Distributive Property

3. Vocabulary 1.Expression – A variable or combination of variables, numbers, and symbols that represents a mathematical relationship.  Example: 4x + 2x + 9 7k + 2 2.Equation – A statement that two mathematical expressions are equal.  Example: k + 3 = 4 45m – 79 = 236

4. Vocabulary 3.Like Terms – Terms that have the same variables with the same corresponding exponents.  Example: 2a and 4a 7c and 249c 4.Coefficient – A numerical factor in a term of an algebraic expression.  Example: 2a – 2 is the coefficient  Example: 249c – 249 is the coefficient

5. Vocabulary 5.Variable – A letter or other symbol that represents a number of other mathematical thing.  Example: b c 6.Operator – A symbol that shows an operation.  Example: c + 5, where the addition sign is the operator

6. Vocabulary 7.Constant – A symbol representing a value that doesn’t change.  Example: 15v + 13, where 13 is the constant 8.Inverse – Opposite of something.  Example: 6 and -6 multiplication and division

7. Review Collect the Like Terms to solve the expression: 1.23v – 56v + 8 2.46 + 7 – 21b 3.19k + 56k 2 + 3k 4.ab + 8a + 5b + 98ab – 10a

8. Applying the Distributive Property 15 + 4(7-3a) 15 + 4(7) + 4(-3a) 15 + 28 - 12a - 12a + 43

9. What steps did we just take to solve the problem? Write the Problem Distributive Property Multiply Collect Like Terms

10. Where have you previously seen these step? P – Parentheses (Please) E – Exponents (Excuse) M – Multiply (My) D – Divide (Dear) A – Add (Aunt) S – Subtract (Sally)

11. Use the Order of Operations to solve the following expression: 10b – 3(2b + 7b) 10b – 3(9b) 10b – 27b -16b P M S

12. You Try! 10 – 5(9n – 9) 10 – 5(9n) – 5(-9) 10 – 45n + 45 -45n + 55

13. What about this one? 5(-2n + 4) + 2(n + 3) 5(-2n) + 5(4) + 2(n) + 2(3) -10n + 20 + 2n + 6 -8n + 26

14. What about this one? e(12 – 4e) – 7(4e – 3) e(12) + e(-4e) -7(4e) – 7(-3) 12e – 4e 2 – 28e + 21 -4e 2 – 16e + 21