1 / 19

Simplify and Combine Like Terms Lesson with Examples

Learn how to simplify and combine like terms in expressions through clear explanations and examples. Understand the concepts of like terms, equivalent expressions, and combining coefficients.

epperson
Download Presentation

Simplify and Combine Like Terms Lesson with Examples

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Warm Up Simplify. 20 1.9 + 13  5 + 3 2. 16  8 + 4  1 11 3. 6 + 9  10 + 3 8 4. 17 + 8  20  2 3

  3. Problem of the Day Ray and Katrina are wandering through the wildlife preserve. They observe and count a total of 15 wild turkeys and deer and a total of 46 legs. How many of each did they see? 7 turkeys, 8 deer

  4. Learn to combine like terms in an expression.

  5. Vocabulary terms like terms equivalent expressions simplify

  6. Helpful Hint Constants such as 4, 0.75, and 11 are like terms because none of them have a variable. Terms in an expression are separated by plus or minus signs. Like terms can be grouped together because they have the same variable raised to the same exponents. Equivalent expressions have the same value for all values of the variables.

  7. To simplifyan expression, perform all possible operations, including combining like terms.

  8. Additional Example 1: Combining Like Terms To Simplify Combine like terms. A.14a – 5a Identify like terms. 9a Combine coefficients: 14 – 5 = 9 Identify like terms; the coefficient of y is 1, because 1y = y. B.7y2 + 8 – 3y2– 1 + y Combine coefficients: 7 – 3 = 4 and 8 – 1 = 7 4y2 + y + 7

  9. Additional Example 2A: Combining Like Terms in Two-Variables Expressions Combine like terms. 5t2 + 7p – 3p – 2t2 5t2 + 7p – 3p – 2t2 Identify like terms. 3t2 + 4p Combine coefficients.

  10. Additional Example 2B: Combining Like Terms in Two-Variable Expressions Combine like terms. 4m3 + 9n – 2 4m3 + 9n – 2 No like terms.

  11. Remember! The Distributive Property states that a(b + c) = ab + ac for all real numbers a, b, and c. For example, 2(3 + 5) = 2(3) + 2(5).

  12. Additional Example 3: Using the Distributive Property to Simplify Simplify 6(5 + n) – 2n. 6(5 + n) – 2n 6(5) +6(n) – 2n Distributive Property. 30 + 6n – 2n Multiply. 30 + 4n Combine coefficients: 6 – 2 = 4.

  13. Additional Example 4: Combining Like Terms to Solve Algebraic Equations Solve x + 3x = 48. x + 3x = 48 Identify like terms. The coefficient of x is 1. 4x = 48 Combine coefficients: 1 + 3 = 4 4x = 48 Divide both sides by 4. 4 4 x = 12

  14. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  15. Lesson Quiz Combine like terms. 1.3x2 + 4 + 2x22. 13k + 6 – 8m + 9 + k Simplify. 3. 4(3x + 6) –7x4. 6(x + 5) + 3x Solve. 5. 6y + y = 42 6. The Accounting Department ordered 15 boxes of pens. The Marketing Department ordered 9 boxes of pens. If the total cost of the combined order was $72, what is the price of each box of pens? 5x2 + 4 14k – 8m + 15 5x + 24 9x + 30 y = 6 $3

  16. Lesson Quiz for Student Response Systems 1. Combine like terms. 4p + 13 + 11p A. 15p2 + 13 B. 15p + 13 C. 28p D. 28

  17. Lesson Quiz for Student Response Systems 2. Combine like terms. 15t + 9 – 7s + 10 + 5t A. 15t – 7s – 1 B. 15t – 7s + 1 C. 20t – 7s + 19 D. 20t + 7s + 19

  18. Lesson Quiz for Student Response Systems 3. Simplify 7(4m + 9) – 9m. A. 19m + 9 B. 19m + 63 C. 37m + 9 D. 37m + 63

  19. Lesson Quiz for Student Response Systems 4. Solve 11v + 2v = 65. A.v = 2 B.v = 5 C.v = 7 D.v = 11

More Related