Example 6: A hat store tracks to sale of college and professional team hats for m months. The number of college hats sold is represented by (6m + 3). The number of professional hats sold is represented by (5m 2). Write an expression to show how many more college – hats were sold than professional hats. Then evaluate the expression if m equals 10. Find (6m + 3) (5m 2) – – 6m + 3 + (-5m) + 2 = m + 5 10 + 5 = 15. So 15 more college team hats were sold. Guided Practice: Subtract. Use models if needed. 1. (2x + 4) (-x + 5) 2. (6x + 9) (7x 1) – – – 3. The number of runs scored by the home team at a baseball game is represented by (x + 7). The number of runs scored by the visiting team is represented by (3x 7). Write an – expression to find how many more runs the home team scored than the visiting team. Then evaluate the expression if the value of x is 6. Journal: Why are you allowed to add a zero pair to any expression? Lesson 5-8: Factor Linear Expressions A monomial is a , a , or a _______________ _____ ___ __________________ and one or more variables. Monomials Not Monomials 25, x, 40x x + 4, 40x + 120 To factor a number means to write it as a product of its factors. We will use the GCF (Greatest Common Factor) to help us factor monomials Example 1: Find the GCF for 4x, 12x. 4x = 2 2 x Example 2: Find the GCF for 18a, 20ab. 12x = 2 2 3 x 18a = 2 3 3 a Circle the common factors. 12x = 2 2 5 a b 2 2 x = 4x Circle the common factors. The GCF of 4x and 12x is 4x 2 a = 2a
Example 6: A hat store tracks to sale of college and professional team hats for m months. The number of college hats sold is represented by (6m + 3). The number of professional hats sold is represented by (5m – 2). Write an expression to show how many more college hats were sold than professional hats. Then evaluate the expression if m equals 10. Find (6m + 3) – (5m – 2) 6m + 3 + (-5m) + 2 = m + 5 10 + 5 = 15. So 15 more college team hats were sold. Guided Practice: Subtract. Use models if needed. 1. (2x + 4) – (-x + 5) 2. (6x + 9) – (7x – 1) 3. The number of runs scored by the home team at a baseball game is represented by (x + 7). The number of runs scored by the visiting team is represented by (3x – 7). Write an expression to find how many more runs the home team scored than the visiting team. Then evaluate the expression if the value of x is 6. Journal: Why are you allowed to add a zero pair to any expression? Lesson 5-8: Factor Linear Expressions A monomial is a , a , or a _______________ _____ ___ __________________ and one or more variables. Monomials Not Monomials 25, x, 40x x + 4, 40x + 120 To factor a number means to write it as a product of its factors. We will use the GCF (Greatest Common Factor) to help us factor monomials Example 1: Find the GCF for 4x, 12x. 4x = 2 2 x 12x = 2 2 3 x Circle the common factors. 2 2 x = 4x The GCF of 4x and 12x is 4x Example 2: Find the GCF for 18a, 20ab. 18a = 2 3 3 a 12x = 2 2 5 a b Circle the common factors. 2 a = 2a
chapter-5-expressions-student-notes.docx