1 / 14

Combining Like Terms - Learn to Simplify Expressions

In this lesson, you will learn to combine like terms in expressions and simplify them. Practice solving problems and quizzes to improve your skills.

jgreenberg
Télécharger la présentation

Combining Like Terms - Learn to Simplify Expressions

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. 1-6 Combining Like Terms Warm Up Problem of the Day Lesson Presentation Course 3

  2. 1-6 Combining Like Terms Course 3 Warm Up Solve. 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. 1-6 Combining Like Terms Course 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. 1-6 Combining Like Terms Course 3 Learn to combine like terms in an expression.

  5. 1-6 Combining Like Terms Course 3 Vocabulary term like term equivalent expression simplify

  6. 1-6 Combining Like Terms Course 3 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 power. Equivalent expressions have the same value for all values of the variables.

  7. 1-6 Combining Like Terms Course 3 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.7y + 8 – 3y – 1 + y Combine coefficients: 7 – 3 + 1 = 5 and 8 – 1 = 7 5y + 7

  8. 1-6 Combining Like Terms Course 3 Additional Example 2A: Combining Like Terms in Two-Variables Expressions Combine like terms. A.9x + 3y – 2x + 5 9x + 3y – 2x + 5 Identify like terms. 7x + 3y + 5 Combine coefficients: 9 – 2 = 7

  9. 1-6 Combining Like Terms Course 3 Additional Example 2B: Combining Like Terms in Two-Variable Expressions Combine like terms. B.5t + 7p – 3p – 2t 5t + 7p – 3p – 2t Identify like terms. Combine coefficients: 5 – 2 = 3 and 7 – 3= 4 3t + 4p

  10. 1-6 Combining Like Terms Course 3 Additional Example 2C: Combining Like Terms in Two-Variable Expressions Combine like terms. C.4m + 9n – 2 4m + 9n – 2 No like terms.

  11. 1-6 Combining Like Terms Course 3 To simplify an expression, perform all possible operations, including combining like terms.

  12. 1-6 Combining Like Terms Course 3 Additional Example 3: Simplifying Algebraic Expressions by Combining Like Terms Simplify 6(5 + n) – 2n. 6(5 + n) – 2n 6(5) +6(n) – 2n Distributive Property. 30 + 6n – 2n 6n and 2n are like terms. 30 + 4n Combine coefficients 6 – 2 = 4

  13. 1-6 Combining Like Terms Course 3 Additional Example 4: Solving Algebraic Expressions by Combining Like Terms 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. 1-6 Combining Like Terms Course 3 Lesson Quiz Combine like terms. 1.3x + 4 + 2x2. 13k + 6  8k + 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? 5x + 4 6k + 15 5x + 24 9x + 30 y = 6 $3

More Related