Presentation on theme: "Warm Up Problem of the Day Lesson Presentation Lesson Quizzes."— Presentation transcript:
1 Warm UpProblem of the DayLesson PresentationLesson Quizzes
2 Warm UpFind the GCF of each set of numbers.1. 12 and , 45 and 302. 18 and , 24 and 305. 72, 80 and 96215628
3 Problem of the DayErin takes half of the cherries from a bowl. Then her brother takes half of the remaining cherries. Finally, Diego takes 3 of the remaining cherries. This leaves 4 cherries in the bowl. How many cherries were in the bowl to start?28 cherries
4 I can factor numerical and algebraic expressions and write equivalent numerical and algebraic expression.
6 The terms of an expression are the parts of the expression that are added or subtracted. The terms of the expressions 140+4x are 140 and 4x.In the term 4x, 4 is called the coefficient. A coefficient is the number that is multiplied by a variable in a algebraic expression.You can use the greatest common factor (GCF) and the Distributive Property to factor numerical expressions.
7 Equivalent expressions are expressions that have the same value for all the values of the variables. The expressions 15x+18 and 3(5x+6) are equivalent expressions since 15x+18=3(5x+6) for every value of x.
8 The greatest common factor (GCF) is the largest common factor of two or more given numbers.Remember!
9 Additional Example 1: Factoring Numerical Expressions Factor the sum of terms as a product of the GCF and a sum.27+3927+39The terms are 27 and 39The GCF of the terms is 3Rewrite each term as a product with GCF3(9+13)Apply the distributive law
10 Check It Out: Example 1Factor the sum of terms as a product of the GCF and a sum.15+4527+39The terms are 15 and 45The GCF of the terms is 15Rewrite each term as a product with GCF15(1+3)Apply the Distributive property
11 Additional Example 2: Factoring Algebraic Expressions Factor the sum of terms as a product of the GCF and a sum.12b + 2812b + 28The terms are 12b and 282.2.3.b+2.2.7The GCF of the terms is 2.2Rewrite each term as a product with GCF4.3b + 4.74(3b+7)Apply the Distributive law
12 Check It Out: Example 2Factor the sum of terms as a product of the GCF and a sum.16b+3216b+32The terms are 16b and 32bThe GCF of the terms isRewrite each term as a product with GCF16.b+16.216(b+2)Apply the distributive property
13 There are many other ways to write equivalent expressions for each of the expressions in Example 3. Helpful Hint
14 Additional Example 3: Writing Equivalent Expressions Write four equivalent expressions for each given expression.A9+15The terms are 9 and 15Rewrite each term as a product with GCF3(3+5)Apply the Distributive property3(5+3)Apply the Commutative property3(8)Add
15 Continued: Example 3B. 25m-5m25m-5mThe terms are 25m and 1mRewrite each term as a product with common factor 5m5.5m-1.5m(5-1)5mApply the Distributive property4.5mSubtract20mMultiply
16 Continued: Example 3C. 2(4p+2)2(4p+2)2.4p+2.2Apply the Distributive property8p+4Multiply4+8pApply the Commutative property4+23pWrite the coefficient of 8 as 23
17 Check It Out: Example 3Write four equivalent expressions for each given expression.3(9p+3)3(9p+3)3.9p+3.3Apply the Distributive property27p+9Multiply9+27pApply the Commutative property9+33pWrite the coefficient of 27 as 33
18 Lesson QuizzesStandard Lesson QuizLesson Quiz for Student Response Systems
19 Lesson QuizFactor the sum of terms as a product of the GCF and a sum15(3+1)8(3+5)3. 16y + 364(4y+9)s30(3+2s)
20 Continued: Lesson Quiz Write four equivalent expressions for each given expression.2(10-4); 4(5-2); 4.3; 126. 9z + 123(3z+4); 3(4+3z); 32z+12; 12+9z
21 Lesson Quizzes Lesson Quiz for Student Response Systems 1. Factor the sum of terms as a product of the GCF and a sum60+30A. 60(1+2)B. 90C. 30(2)D. 30(2+1)
22 Continued: Lesson Quiz for Student Response Systems 2. Factor the sum of terms as a product of the GCF and a sum13+39rA. 13(1+3r)B. 13(1+3)C. 13(3r)D. 42r
23 Continued: Lesson Quiz for Student Response Systems 3. Which expression is not equivalent to 12-3?A. 3(4-1)B. 3(22-1)CD. 3(1-3)
24 Continued: Lesson Quiz for Student Response Systems 4. Which expression is not equivalent to 8z+12?A. 8z+4.3B. 4(2z+3)C. 4(2z+12)D. 4(3+2z)