1 6 Combining Like Terms Warm Up Problem

1 -6 Combining. Like. Terms Warm Up Problem of the Day Lesson Presentation Pre-Algebra

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

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 Pre-Algebra

1 -6 Combining Like Terms Learn to combine like terms in an expression. Pre-Algebra

1 -6 Combining Like Terms Vocabulary term like term equivalent expression simplify Pre-Algebra

1 -6 Combining Like 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. Pre-Algebra

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

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

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

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

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

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

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

1 -6 Combining Like Terms Lesson Quiz Combine like terms. 1. 3 x + 4 + 2 x 5 x + 4 2. 13 k + 6 8 k + 9 + k 6 k + 15 Simplify. 3. 4(3 x + 6) 7 x 5 x + 24 4. 6(x + 5) + 3 x 9 x + 30 Solve. 5. 6 y + y = 42 y = 6 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? $3 Pre-Algebra