Add and subtract expressions
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The document discusses using algebra tiles to represent and combine algebraic expressions. It explains that algebra tiles can be used to visually add and subtract expressions by combining tiles of the same type. Specifically, it provides examples of adding the expressions x^2 + x + 1 and -3x - 2 as well as subtracting the expressions x + 2 and x + 1 using algebra tiles. The document also reviews how to add and subtract algebraic expressions in general and provides an example word problem to solve.
Add and subtract expressions
- 1. QUESTION: How can we write an expression denoted by these 2 tiles together? 𝐱 𝟐 1
- 2. AIM: Today we will add and subtract algebraic expressions using algebra tiles
- 3. TASK: 1. Represent the expressions in each set using algebra tiles. 2. Add the first set of tiles and subtract the second set. Set 1: 𝒙 𝟐 + 𝒙 + 𝟏 and −𝟑𝒙 − 𝟐 Set 2: 𝒙 + 𝟐 and 𝒙 + 𝟏
- 4. The Algebra Tile = 1= x= 𝐱 𝟐 = –1= –x= –𝐱 𝟐
- 5. QUESTION: What expressions did you get? Which tiles did you add or subtract? What did you get on combining a red and blue tile of the same shape? How did you subtract using the algebra tiles?
- 6. How to add or subtract expressions? • Add or subtract only like terms in the expression. • For subtraction, the signs of the terms are handled the same way as for integers and the signs of the terms being subtracted are changed.
- 7. EXAMPLE: Maria has three more four times the number of pencils Ryan has. She loses two more than three times the number of pencils Ryan has. How many pencils is she left with?
- 8. EXAMPLE: (2x + 5) + (6x – 2) 𝟑𝒙 𝟐 + 𝟕𝒚 + 𝟒𝒙 𝟐 − 𝟖𝒚 + 𝟏𝟐 Subtract 𝒙 𝟐 − 𝟕𝒙 − 𝟏 from 𝟑𝒙 𝟐 + 𝟓𝒙 + 𝟒 .
- 9. CLASSWORK: FINISH S3 from the XSEED Workbook, page 24.
- 10. HOMEWORK: Complete Practice Questions 1 – 5 from the XSEED Content Book, page 110 – 111.