1. Name:________________________________________________________________________________Date:_____/_____/__________ 1) Evaluate using the Order of Operations: 3 (2 3 x 5 ÷ 4) - 2 2) (-5 + 2) 2 3) -5 + 2 2 4) - 3 2 5) 3(-5 + 2) 2 P E MD AS 6) - 3 2 ÷ 3 + (-3) 2 7) Be careful! This one is tricky… 2(8 + 2) ÷ 2(-9 + 2 2 )

2. Extra Practice “Order of Operations” Evaluate the following using the Order of Operations: 3)4) 5)6) 7)8) 1) The following two students solved the same problem. One is correct and one is wrong. Please choose the correct student: Billy: -10 + 8 ÷ (-2) + (14 – 2 2 ) -10 + 8 ÷ (-2) + 10 -2 ÷ (-2) + 10 1 + 10 11 Bob: -10 + 8 ÷ (-2) + (14 – 2 2 ) -10 + 8 ÷ (-2) + 10 -10 + -4 + 10 -14 + 10 -4 2)Why was the other student wrong? Please identify the specific mistakes that were made:

3. Teacher will pass out supplies/ give instructions...

4. PROPERTY PREVIEW

5. 1. Continue Properties Foldable 2. Practice the Following Properties: INVERSE PROPERTY Of Addition & MULTIPLICATION AKA Additive Inverse Property and Multiplicative Inverse Property 1. Continue Properties Foldable 2. Practice the Following Properties: INVERSE PROPERTY Of Addition & MULTIPLICATION AKA Additive Inverse Property and Multiplicative Inverse Property Today We will:

6. Add ______ OR Multiply by _____ Just remember you can secure your identity if you: Nobody wants to lose their identity! Identity Property: ZERO ONE The answer STAYS the SAME! REVIEW

7. 3y + 0 = 7.5 + ____ = 7.5 15 + 0 = 1515 + -15 = 0 15 0 = 0 IDENTITY of ADDITION or MULTIPLICATION? 0 3y 1 Fill in the Blank ? ? ? ? ??... or something else?

8. Inverse Property: All about the OPPOSITE! EXAMPLES This is like a zero pair!

9. -8 + 8 = 02y + -2y = 0 Inverse of Addition or Multiplication? Fill in the Blank ? ? ? ? -5x + ____ = 0 12 + -12 = 0 5x 1 ? ?... or something else?

10. -100 1 = -100 -2 + 3 = 1 -5b + 5b = 0-4.5 + 4.5 = 0 -6 + 0 = -6 Identity or Inverse? ? ? ? ? ? ? ? ? ? ? The IDENTITY stays the SAME! INVERSE is all about the OPPOSITE!... or something else?

11. Today’s Lesson: What: “evaluating algebraic expressions” Why: To evaluate algebraic expressions using the Order of Operations. What: “evaluating algebraic expressions” Why: To evaluate algebraic expressions using the Order of Operations.

12. What’s the difference?? math sentence that uses BOTH numbers and variables. Terms– parts of a math sentence separated only by an ______________________________ or subtraction sign. Numeric Expression— math sentence that uses ___________________ only! Algebraic Expression— math sentence that uses BOTH numbers AND ____________________________. numbers variables addition

13. 3x + 8 _________ __________ Essential vocabulary... coefficient constant variable Name the coefficient: 1)The coefficient of -4x is...________________ 2)The coefficient of x is...________________ 3)The coefficient of -x is..._________________ Remember, EVERY variable has a coefficient!! -4 1

14. Algebraic Expression Coefficient (s) Variable(s)Constant (s) 1) 3xy 2) -x - 3y + 4 3) -2 + 5x + yz 4) 5a + 2b + 3 Fill-in chart: 3 x and y -1 and -3x and y4 -2x, y, and z5 and 1 5 and 2 a and b 3 no constant

15. Evaluate the following when x = -2 and y = 4 1) x² + xy 3) -x + 6 – x Guided Examples... -4-7 10

16. 4) 4(x + y)² 16 Evaluate the following when x = -2 and y = 4 CONTINUED... -10 18

17. IXL HOmework DON’T FORGET TO LOG IN! (You won’t receive credit for doing your homework if you are not logged in!) Seventh Grade – R.7 Algebra 1 – B.3 https:// www.ixl.com/signin/jlsms CLICK on MATH CLICK on 7 th GRADE CLICK on the skill(s) assigned for homework EARN a Smart Score of 70 & work for at least 10 minutes! EARN a Smart Score of 70 on the assigned skill(s), then you are done! (Spend at least 10 minutes practicing.) TO LOG IN: CLICK on the IXL button on the Simpson Home Page (left side) Username: given to you by your teacher (Usually your initial of first name, and full last name) Password: math7

18. END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow represent the homework assigned for that day.

19. Terms– parts of a math sentence separated only by an ______________________________ or subtraction sign. Numeric Expression— math sentence that uses _________________________ only! Algebraic Expression— math sentence that uses BOTH numbers AND ___________________. 3x + 8 __________ Math-7 NOTES DATE: ______/_______/_______ What: “evaluating algebraic expressions” Why: To evaluate algebraic expressions using the Order of Operations. What: “evaluating algebraic expressions” Why: To evaluate algebraic expressions using the Order of Operations. NAME: What’s the difference?? Essential vocabulary... Algebraic Expression Coefficient(s)Variable(s)Constant(s) 1)3xy 2)-x - 3y + 4 3)-2 + 5x + yz 4)5a + 2b + 3 Fill-in chart: Name the coefficient: 1)The coefficient of -4x is... ___________________ 2)The coefficient of x is... ___________________ 3)The coefficient of -x is... ___________________ Remember, EVERY variable has a coefficient!!

20. Evaluate the following when x = -2 and y = 4 1) x² + xy3) -x + 6 – x 4) 4(x + y)² Guided Examples... IXL: 7 th Grade, R.7 & Alg.1 B.3

21. Math-7 classwork NAME:______________________________________________________________________________ DATE: _____/_____/__________ “Evaluating Algebraic Expressions” 1) 2)3) 4)5)6) 7)8)9)

22. EXTRA PRACTICE “Evaluating Algebraic Expressions” x will be -5 for ALL of the following: SHOW YOUR WORK!