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5-Minute Check 1

A B C D. 5 a 3 b. 5-Minute Check 1. A B C D. Simplify (–2 x 4 y )(–3 x 2 ) 2. –18 x 8 y. 5-Minute Check 2. A B C D. Simplify (3 x – 2) 2. 9 x 2 – 12 x + 4. 5-Minute Check 3. A B C D. Simplify (2 x – 6)(2 x + 6). 4 x 2 – 36. 5-Minute Check 4. A B C D.

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5-Minute Check 1

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  1. A B C D 5a3b 5-Minute Check 1

  2. A B C D Simplify (–2x4y)(–3x2)2. –18x8y 5-Minute Check 2

  3. A B C D Simplify (3x – 2)2. 9x2 – 12x + 4 5-Minute Check 3

  4. A B C D Simplify (2x – 6)(2x + 6). 4x2 – 36 5-Minute Check 4

  5. A B C D Which value of n makes (c6 – 3)2 = cn – 6c6 + 9 true? A. 12 B. 8 C. 6 D. 4 5-Minute Check 6

  6. Factor monomials. • Find the greatest common factors of monomials Then/Now

  7. factored form • greatest common factor (GCF) Vocabulary

  8. Monomial in Factored Form Factor 18x2y3 completely. 18x2y3 = 2 ● 9 ● x ● x ● y ● y ● y 18 = 2 ● 9, x2 = x ● x, and y3 = y ● y ● y = 2 ● 3 ● 3 ● x ● x ● y ● y ● y 9 = 3 ● 3 Answer: 18x2y3 in factored form is 2 ● 3 ● 3 ● x ● x ● y ● y ● y. Example 1

  9. A B C D Factor 15a3b2 completely. 3 ● 5 ● a ● a ● a ● b ● b Example 1

  10. GCF of a Set of Monomials Find the GCF of 27a2b and 15ab2c. 27a2b = 3 ● 3 ● 3 ● a ● a ● b Factor each number. 15ab2c = 3 ● 5 ● a ● b ● b ● c Circle the common prime factors. Answer: The GCF of 27a2b and 15ab2c is 3 ● a ● b or 3ab. Example 2

  11. A B C D Find the GCF of 39x2y3 and 26xy4. 13xy3 Example 2

  12. Find a GCF GEOMETRYThe lengths of the sides of a triangle are 12wz2, 8wz, and 16w2z. Find the GCF of the three lengths. 12wz2 = 3 ● 22 ● w ● z2 8wz = 23 ● w ● z 16w2z = 24 ● w2 ● z The common prime factors are 22 ● w ● z. Answer: So, the GCF is 4wz. Example 3

  13. A B C D Mary is making bracelets with large and small beads. She has 20 large beads and 96 small beads. What is the greatest number of bracelets she can make with having any beads left over? 4 bracelets Example 3

  14. End of the Lesson

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