1-6 Combining Like Terms Warm Up Problem of the Day Lesson Presentation Course 3

1-6 Combining Like Terms Warm Up Solve. 1. 9 + 13  5 + 3 20 Course 3 1-6 Combining Like Terms Warm Up Solve. 1. 9 + 13  5 + 3 20 2. 16  8 + 4  1 11 3. 6 + 9  10 + 3 8 4. 17 + 8  20  2 3

1-6 Combining Like Terms Problem of the Day Course 3 1-6 Combining Like Terms Problem of the Day Ray and Katrina are wandering through the wildlife preserve. They observe and count a total of 15 wild turkeys and deer and a total of 46 legs. How many of each did they see? 7 turkeys, 8 deer

1-6 Combining Like Terms Learn to combine like terms in an expression. Course 3 1-6 Combining Like Terms Learn to combine like terms in an expression.

Vocabulary 1-6 Combining Like Terms term like term Course 3 1-6 Combining Like Terms Vocabulary term like term equivalent expression simplify

Course 3 1-6 Combining Like Terms Terms in an expression are separated by plus or minus signs. Like terms can be grouped together because they have the same variable raised to the same power. Equivalent expressions have the same value for all values of the variables.

Additional Example 1: Combining Like Terms To Simplify Course 3 1-6 Combining Like Terms Additional Example 1: Combining Like Terms To Simplify Combine like terms. A. 14a – 5a Identify like terms. 9a Combine coefficients: 14 – 5 = 9 Identify like terms ; the coefficient of y is 1, because 1y = y. B. 7y + 8 – 3y – 1 + y Combine coefficients: 7 – 3 + 1 = 5 and 8 – 1 = 7 5y + 7

Course 3 1-6 Combining Like Terms Additional Example 2A: Combining Like Terms in Two-Variables Expressions Combine like terms. A. 9x + 3y – 2x + 5 9x + 3y – 2x + 5 Identify like terms. 7x + 3y + 5 Combine coefficients: 9 – 2 = 7

Course 3 1-6 Combining Like Terms Additional Example 2B: Combining Like Terms in Two-Variable Expressions Combine like terms. B. 5t + 7p – 3p – 2t 5t + 7p – 3p – 2t Identify like terms. Combine coefficients: 5 – 2 = 3 and 7 – 3= 4 3t + 4p

Course 3 1-6 Combining Like Terms Additional Example 2C: Combining Like Terms in Two-Variable Expressions Combine like terms. C. 4m + 9n – 2 4m + 9n – 2 No like terms.

Course 3 1-6 Combining Like Terms To simplify an expression, perform all possible operations, including combining like terms.

Course 3 1-6 Combining Like Terms Additional Example 3: Simplifying Algebraic Expressions by Combining Like Terms Simplify 6(5 + n) – 2n. 6(5 + n) – 2n 6(5) + 6(n) – 2n Distributive Property. 30 + 6n – 2n 6n and 2n are like terms. 30 + 4n Combine coefficients 6 – 2 = 4

Course 3 1-6 Combining Like Terms Additional Example 4: Solving Algebraic Expressions by Combining Like Terms Solve x + 3x = 48. x + 3x = 48 Identify like terms. The coefficient of x is 1. 4x = 48 Combine coefficients: 1 + 3 = 4 4x = 48 Divide both sides by 4. 4 4 x = 12

1-6 Combining Like Terms Lesson Quiz Combine like terms. Course 3 1-6 Combining Like Terms Lesson Quiz Combine like terms. 1. 3x + 4 + 2x 2. 13k + 6  8k + 9 + k Simplify. 3. 4(3x + 6)  7x 4. 6(x + 5) + 3x Solve. 5. 6y + y = 42 6. The accounting department ordered 15 boxes of pens. The marketing department ordered 9 boxes of pens. If the total cost of the combined order was $72, what is the price of each box of pens? 5x + 4 6k + 15 5x + 24 9x + 30 y = 6 $3