5 minute check simplify each expression. complete in your notes. 1. (-3x - 2) - (7x + 9) 2. (-2x -...

Tuesday, Oct 30

5 Minute CheckSimplify each expression. Complete in your notes. 1. (-3x - 2) - (7x + 9)2. (-2x - 1) - (x - 7)3. (9x + 5) - (6x - 8)4. (-8x + 1) - (8x - 1)

5 Minute CheckSimplify each expression. Complete in your notes. 1. (-3x - 2) - (7x + 9)

5 Minute CheckSimplify each expression. Complete in your notes. 1. (-3x - 2) - (7x + 9) -3x - 2 - 7x - 9 -10x - 11

5 Minute CheckSimplify each expression. Complete in your notes. 2. (-2x - 1) - (x - 7)

5 Minute CheckSimplify each expression. Complete in your notes. 2. (-2x - 1) - (x - 7) -2x - 1 - x + 7 -3x + 6

5 Minute CheckSimplify each expression. Complete in your notes. 3. (9x + 5) - (6x - 8)

5 Minute CheckSimplify each expression. Complete in your notes. 3. (9x + 5) - (6x - 8)

9x + 5 - 6x + 8

3x + 13

5 Minute CheckSimplify each expression. Complete in your notes. 4. (-8x + 1) - (8x - 1)

5 Minute CheckSimplify each expression. Complete in your notes. 4. (-8x + 1) - (8x - 1)-8x + 1 - 8x + 1 -16x + 2

Monday, May 18Lesson 7.5.8

Factor Linear ExpressionsFactor Linear ExpressionsObjective: To use properties of mathematics to factor linear expressions.

Factor Linear ExpressionsA monomial is a number, a variable, or a product of a number and one or more variables.

Monomials; 25, x, 25x

Not Monomials: x + 25, 25x + 100

Factor Linear ExpressionsTo factor a number means to write it as a product of its prime factors.

36; 2 2 3 3

Factor Linear ExpressionsA linear algebraic expression can be factored using the same method you would use to factor a number.

Factor Linear ExpressionsFactor the expression. 12 + 30x

How to Factor Monomials. (Method 1)Step 1 Write both monomials as prime factors.

Factor Linear ExpressionsFactor the expression. 12 + 30x12: 2 2 330: 2 3 5 x

How to Factor Monomials. Step 1 Write both monomials as prime factors.


How to Factor Monomials. Step 2 Circle the common factors.


How to Factor Monomials. Step 2 Circle the common factors.


How to Factor Monomials. Step 3 Find the GCF by multiplying the common factors for one number.

Factor Linear ExpressionsFactor the expression. 12 + 30x12: 2 2 330: 2 3 5 xGCF = 2 3 = 6

How to Factor Monomials. Step 3 Find the GCF by multiplying the common factors for one number.

Factor Linear ExpressionsFactor the expression. 12 + 30x12: 2 2 330: 2 3 5 xGCF = 2 3 = 6

How to Factor Monomials. Step 4 Rewrite the expression with the GCF outside the parenthesis.

30: 2 3 5 xFactor Linear ExpressionsFactor the expression. 12 + 30x 12: 2 2 330: 2 3 5 xGCF = 2 3 = 66(2 + 5x)How to Factor Monomials. Step 4 Rewrite the expression with the GCF outside the parenthesis.

Factor Linear ExpressionsFactor the expression. 8 + 12x

Step 1 ?

Factor Linear ExpressionsFactor the expression. 8 + 12x8 = 2 2 2 12x = 2 2 3 x

Step 2 ? Factor Linear ExpressionsFactor the expression. 8 + 12x8 = 2 2 2 12x = 2 2 3 x

Step 3 Factor Linear ExpressionsFactor the expression. 8 + 12x8 = 2 2 2 12x = 2 2 3 xThe GCF is 2 2 , or 4

Step 4 Factor Linear ExpressionsFactor the expression. 8 + 12x8 = 2 2 2 12x = 2 2 3 xThe GCF is 2 2 , or 4

4(2 + 3x)Factor Linear ExpressionsFactor the expression. 18a + 20ab

How to Factor Monomials. (Method 2)Step 1 Factor out any common variables.Factor Linear ExpressionsFactor the expression. 18a + 20aba(18 + 20b)

How to Factor Monomials. (Method 2)Step 1 Factor out any common variables.Factor Linear ExpressionsFactor the expression. 18a + 20aba(18 + 20b)

How to Factor Monomials. (Method 2)Step 2 Factor out 2, if possible, and keep factoring until you cant. Factor Linear ExpressionsFactor the expression. 18a + 20aba(18 + 20b)2a(9 + 10b)




How to Factor Monomials. (Method 2)Step 4 Factor out any remaining prime numbers, if possible. Factor Linear ExpressionsFactor the expression. 18a + 20aba(18 + 20b)2a(9 + 10b)

How to Factor Monomials. (Method 2)Step 4 Factor out any remaining prime numbers, if possible. Factor Linear ExpressionsFactor the expression. 12 + 28c

Step 1 - ? (Method 2)Factor Linear ExpressionsFactor the expression. 12 + 28c

Step 2 - ? (Method 2)Factor Linear ExpressionsFactor the expression. 12 + 28c2(6 + 14c)4(3 + 7c)



Factor Linear ExpressionsFactor the expression. 25x + 15xy

Do this on your own.

Factor Linear ExpressionsFactor the expression. Method 125x + 15xy25x = 5 5 x15xy = 3 5 x y The GCF is 5 x, or 5x

5x (5 + 3y)

Factor Linear ExpressionsFactor the expression. Method 225x + 15xyx(25 + 15y)5x (5 + 3y)

Factor Linear ExpressionsFactor the expression. 42mn + 14n

Do this on your own.

Factor Linear ExpressionsFactor the expression. Method 142mn + 14n42mn = 2 3 7 m n14n = 2 7 nThe GCF is 2 7 n, or 14n

14n(3m + 1)

Factor Linear ExpressionsFactor the expression. Method 242mn + 14nn(42m + 14)2n(21m + 7)14n(3m + 1)

Factor Linear ExpressionsFactor the expression. 3x + 9

Factor Linear ExpressionsFactor the expression. Method 1 3x + 93x = 3 x 9 = 3 3 The GCF is 3

3(x + 3)Factor Linear ExpressionsFactor the expression. Method 2 3x + 93(x + 3)Factor Linear ExpressionsFactor the expression. 12x + 7yFactor Linear ExpressionsFactor the expression. 12x + 7y12x = 2 2 3 x 7y = 7 y The are no common factors, the expression cannot be factored.

Factor Linear ExpressionsFactor the expression. 4x - 28Factor Linear ExpressionsFactor the expression. Method 14x - 284x = 2 2 x 28 = 2 2 7 The GCF is 4

4(x - 7)Factor Linear ExpressionsFactor the expression. Method 24x - 282(2x 14)4(x - 7)Factor Linear ExpressionsFactor the expression. 3x + 33yFactor Linear ExpressionsFactor the expression. Method 13x + 33y3x = 3 x 33y = 3 11 y The GCF is 3

3(x + 11y)Factor Linear ExpressionsFactor the expression. Method 23x + 33y3(x + 11y)Factor Linear ExpressionsFactor the expression. 4x + 35Factor Linear ExpressionsFactor the expression. 4x + 354x = 2 2 x 35 = 5 7 There is no GCF and cannot be factored. Factor Linear ExpressionsFactor the expression. 32x + 18Factor Linear ExpressionsFactor the expression. Method 132x + 1832x = 2 2 2 2 2 x 18 = 2 3 3 The GCF is 2

2(16x + 9)Factor Linear ExpressionsFactor the expression. Method 232x + 182(16x + 9)Factor Linear ExpressionsFactor the expression. 27s 54stFactor Linear ExpressionsFactor the expression. Method 1 27s 54st27s = 3 3 3 s 54st = 2 3 3 3 s t The GCF is 27s

27s(1 2t)Factor Linear ExpressionsFactor the expression. Method 2 27s 54sts(27 54t)3s(9 18t)9s(3 6t)27s(1 2t)Factor Linear ExpressionsFactor the expression. 18cd + 30dFactor Linear ExpressionsFactor the expression. Method 118cd + 30d18cd = 2 3 3 c d 30d = 2 3 5 d The GCF is 6d

6d(3c + 5)Factor Linear ExpressionsFactor the expression. Method 218cd + 30dd(18c + 30)2d(9c + 15)6d(3c + 5)Factor Linear ExpressionsFactor the expression. 36x + 24Factor Linear ExpressionsFactor the expression. Method 136x + 2436x = 2 2 3 3 x 24 = 2 2 2 3 The GCF is 12

12(3x + 2)Factor Linear ExpressionsFactor the expression. Method 236x + 242(18x + 12)4(9x + 6)12(3x + 2)Factor Linear ExpressionsFactor the expression. 4x + 9Factor Linear ExpressionsFactor the expression. 4x + 9x = 2 2 x 9 = 3 3 There is no GCF and cannot be factored.

Factor Linear ExpressionsFactor the expression. 14x 16yFactor Linear ExpressionsFactor the expression. Method 114x 16y14x = 2 7 x 16y = 2 2 2 2 y The GCF is 2.

2(7x 8y)Factor Linear ExpressionsFactor the expression. Method 214x 16y2(7x 8y)Factor Linear ExpressionsAgenda NotesHomework Homework Practice 7.5.8 due by the end of the period. Circle all answers and show all workwith either method.

Chapter 7.5 Test -Wednesday, May 20

5 minute check simplify each expression. complete in your notes. 1. (-3x - 2) - (7x + 9) 2. (-2x -...

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