Unit 8B Test Review NAME : Factor out a Greatest Common ..., Lecture notes of Mathematics

Unit 8B Test Review. NAME : Factor out a Greatest Common Monomial Factor (Notes A). 1. 5a3 – 7a2 + 3a ... Look for GCF to Factor out 1st.

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Unit 8B Test Review NAME : ____________________________
Factor out a Greatest Common Monomial Factor (Notes A)
1. 5a3 7a2 + 3a 2. 10a3b + 20a2b2 30a 3. 18m4 + 12m3
Factor the Trinomial. Look for GCF to Factor out 1st. Also look for Difference of Squares.
(#4-6 Notes B, #7 9 Notes C, # 10 12 Notes D, #13 15 Notes E)
4. x2 5x 14 5. y2 + 8y 48 6. k2 9k + 18
7. 2x2 16x + 14 8. 3x2 + 33x + 90 9. 3m2 + 24m + 21
10. 3x2 + 5x + 2 11. 2x2 13x 7 12. 4x2 8x + 3
13. x2 25 14. 64m2 121 15. 8b2 18
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Unit 8B Test Review NAME : ____________________________ Factor out a Greatest Common Monomial Factor (Notes A)

  1. 5a^3 7a^2 + 3a 2. 10a^3 b + 20a^2 b^2 30a 3. 18m^4 + 12m^3 Factor the Trinomial. Look for GCF to Factor out 1st. Also look for Difference of Squares. (#4-6 Notes B, #7 9 Notes C, # 10 12 Notes D, #13 15 Notes E)
  2. x 2 - 5x 14 5. y 2 + 8y 48 6. k 2 - 9k + 18
  3. 2x 2 - 16x + 14 8. 3x 2 + 33x + 90 9. 3m 2 + 24m + 21
  4. 3x^2 + 5x + 2 11. 2x^2 13x 7 12. 4x^2 8x + 3
  5. x^2 25 14. 64m^2 121 15. 8b^2 18
  1. The area of a rectangular piece of fabric has 17. The area of a sports court is represented by an area of x^2 + 11x + 10. Find the dimensions. c^2 12c + 32. Find the dimensions.
  2. The area of pool is represented by w^2 – 5w = 36 19. The area of a patio is represented by w^2 + 3w = 40 where w represents the width. Find the width where w represents the width. Find the width (Remember – you cannot have a negative measurement ) (Remember – you cannot have a negative measurement )

Solve the equation to find the zeroes. Look to factor out a GCF 1

st

if possible. (Notes A & B)

  1. 2x(x – 8) = 0 21. (3x – 9)(x + 5) = 0 22. 3x^2 – 9x = 0 23. x^2 – 10x + 16 = 0
  2. What are the factors of the given set of 25. What are the factors of the given set of algebra tiles? (Notes E) algebra tiles? (Notes E) Factored form: ____________________ Factored Form: _______________________