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5-Minute Check

Learn to collect and arrange like terms in descending order to add and subtract polynomials effectively. Practice examples and guided exercises to develop skills in polynomial manipulation. Achieve 80% mastery in real-world applications.

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5-Minute Check

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  1. APK Collect like terms and arrange in descending order. 1) 4x3 + 6x4 – 2x4 + 8x 4x4 + 4x3 + 8x 2) 3x – 5x + 5 + 2x0 – 2x + 7 5-Minute Check 3) Evaluate 4x3 + x2 – 2 for x = 0 and x = 1 When X = 0 Answer -2 When X = 1 Answer 3

  2. 5.7 Addition of Polynomials Objectives: Students will add polynomials by first collecting like terms. Why? So you can apply addition rules for polynomials in real world applications. Mastery is 80% or better on 5-minute checks and indy practice.

  3. Add (5x2 + 3x + 4) + (3x2 + 5) 3x2 + 5 = 8x2 + 3x + 9 Skill Develop Example 1

  4. Add (7x2y3 + xy) + (1 – 2x2y3) – 2x2y3 + 1 = 5x2y3 + xy + 1 Skill Develop Example 2

  5. Add. 1) (3x2 + 2x – 2) + (-2x2 + 5x + 5) x2 + 7x + 3 2) (31x4 + x2 + 2x – 1) + (-7x4 + 5x3 – 2x + 2) 24x4 + 5x3 + x2 + 1 3) (4a2b – 5a + 3) + (-2a2b – 2a – 4) Guided Practice 2a2b – 7a - 1

  6. Add. (2x4 – 5x2 + 4x + 5) + (5x4 + 7x3 – 2x2 – 2x) 2x4 + 0x3 – 5x2 + 4x + 5 5x4 + 7x3 – 2x2 – 2x + 0 7x4 + 7x3 – 7x2 + 2x + 5 Think…Ink…Share White Boards

  7. Add. (-3x4y3 + 6x3y3 – 6x2 + 5xy5 + 1) + (5x5 – 3x3y3 – 5xy5) -3x4y3 + 6x3y3 – 6x2 + 5xy5 + 1 5x5 - 3x3y3 - 5xy5 5x5 – 3x4y3 + 3x3y3 – 6x2 + 1 Guided Practice Example 4

  8. Add. 1) (-2m3 – 5m2 – 2m – 4) + (m4 – 6m2 + 7m – 10) 2) (-3x4y3 – 5xy + 2) + (x4y3 + x2 + 2xy + 5) m4 –2m3 – 11m2 + 5m – 14 -2x4y3 + x2 – 3xy + 7 White Boards CFU

  9. PDF Online Add Polys Homework

  10. 5.8 Subtraction of Polynomials Objectives: Students will add polynomials by first collecting like terms. Why? So you can apply addition rules for polynomials in real world applications. Mastery is 80% or better on 5-minute checks and indy practice.

  11. Subtract. (5x2 + 3x - 2) - (2x2 + 1) = 5x2 + 3x - 2 - 2x2 - 1 = 3x2 + 3x - 3 Skill Develop Example 1

  12. Subtract. (2x2y2 + 3xy3 – 4y4) - (x2y2 – 5xy3 + 3y – 2y4) = 2x2y2 + 3xy3 – 4y4 - x2y2 + 5xy3 + 2y4 – 3y = x2y2 + 8xy3 – 2y4 – 3y Skill Develop Example 2

  13. Subtract. 1) (5x4 + 4) – (2x2 – 1) 2) (-7m3 + 2m + 4) – (-2m3 – 4) 3) (-3a2b4 + 5ab - 4) - (-4a3 + 11a2b4 – 2a - 6) Guided Practice

  14. Subtract. (8x3 + 6x2 – 3x + 5) – (5x3 – 3x2 + 2x – 4) 8x3 + 6x2 – 3x + 5 -5x3 + 3x2 - 2x + 4 3x3 + 9x2 - 5x + 9 Guided Example 3

  15. Subtract. (2a4b + 5a3b2 – 4a2b3) – (4a4b + 2a3b2 – 4ab) 2a4b + 5a3b2 – 4a2b3 -4a4b - 2a3b2 + 4ab -2a4b + 3a3b2 – 4a2b3 + 4ab Think…Ink…Share Example 4

  16. Subtract. 1) (-2m3 – 5m2 – 2m – 4) - (m4 – 6m2 + 7m – 10) -m4 -2m3 + m2 -9m + 6 2) (-3x4y3 – 5xy + 2) - (x4y3 + x2 + 2xy + 5) -4x4y3 – 7xy - x2 - 3 CFU White Boards Practice

  17. What was the Objectives? Students will add & subtract polynomials by first collecting like terms. Why? So you can apply addition & subtraction rules for polynomials in real world applications. Mastery is 80% or better on 5-minute checks and indy practice.

  18. PDF Subtract Polys Homework

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