Over Chapter 7 A.A B.B C.C D.D 5-Minute Check 1 5a3b5a3b.

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Presentation transcript:

Over Chapter 7 A.A B.B C.C D.D 5-Minute Check 1 5a3b5a3b

Over Chapter 7 A.A B.B C.C D.D 5-Minute Check 2 –18x 8 y Simplify (–2x 4 y)(–3x 2 ) 2.

Over Chapter 7 A.A B.B C.C D.D 5-Minute Check 3 9x 2 – 12x + 4 Simplify (3x – 2) 2.

Over Chapter 7 A.A B.B C.C D.D 5-Minute Check 4 4x 2 – 36 Simplify (2x – 6)(2x + 6).

Over Chapter 7 A.A B.B C.C D.D 5-Minute Check 6 A.12 B.8 C.6 D.4 Which value of n makes (c 6 – 3) 2 = c n – 6c true?

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

Vocabulary factored form greatest common factor (GCF)

Example 1 Monomial in Factored Form Factor 18x 2 y 3 completely. 18x 2 y 3 = 2 ● 9 ● x ● x ● y ● y ● y18 = 2 ● 9, x 2 = x ● x, and y 3 = y ● y ● y = 2 ● 3 ● 3 ● x ● x ● y ● y ● y9 = 3 ● 3 Answer: 18x 2 y 3 in factored form is 2 ● 3 ● 3 ● x ● x ● y ● y ● y.

A.A B.B C.C D.D Example 1 3 ● 5 ● a ● a ● a ● b ● b Factor 15a 3 b 2 completely.

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

A.A B.B C.C D.D Example 2 13xy 3 Find the GCF of 39x 2 y 3 and 26xy 4.

Example 3 Find a GCF GEOMETRY The lengths of the sides of a triangle are 12wz 2, 8wz, and 16w 2 z. Find the GCF of the three lengths. 12wz 2 = 3 ● 2 2 ● w ● z 2 8wz= 2 3 ● w ● z 16w 2 z= 2 4 ● w 2 ● z The common prime factors are 2 2 ● w ● z. Answer: So, the GCF is 4wz.

A.A B.B C.C D.D Example 3 4 bracelets 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?

End of the Lesson