1. Lesson 5 Menu Five-Minute Check (over Lesson 1-4) Main Ideas and Vocabulary Targeted TEKS Key Concept: Distributive Property Example 1: Distribute Over Addition or Subtraction Example 2: The Distributive Property and Mental Math Example 3: Algebraic Expressions Example 4: Combine Like Terms

2. Lesson 5 MI/Vocab term like terms equivalent expressions simplest form coefficient Use the Distributive Property to evaluate expressions Use the Distributive Property to simplify algebraic expressions.

3. Lesson 5 TEKS A.4 The student understands the importance of the skills required to manipulate symbols in order to solve problems and uses the necessary algebraic skills required to simplify algebraic expressions and solve equations and inequalities in problem situations. (B) Use the commutative, associative, and distributive properties to simplify algebraic expressions.

4. Lesson 5 KC1

5. Lesson 5 Ex1 Distribute Over Addition or Subtraction EXERCISE Julia walks 5 days a week. She walks at a fast rate for 7 minutes and then cools down for 2 minutes. Rewrite 5(7 + 2) using the Distributive Property. Evaluate to find the total number of minutes Julia walks. 5(7 + 2)=5 ● 7 + 5 ● 2Distributive Property =35 + 10Multiply. =45Add. Answer: Julia walks for 45 minutes each week.

6. A.A B.B C.C D.D Lesson 5 CYP1 A.15 + 5 ● 10; 65 minutes B.5 ● 15 + 10; 85 minutes C.5 ● 15 + 5 ● 10; 125 minutes D.15 + 10; 25 minutes WALKING Susanne walks to school and home from school 5 days each week. She walks to school in 15 minutes and then walks home in 10 minutes. Rewrite 5(15 + 10) using the Distributive Property. Then evaluate to find the total number of minutes Susanne spends walking to and home from school.

7. Lesson 5 Ex2 The Distributive Property and Mental Math Use the Distributive Property to find 12 ● 82. 12 ● 82=12(80 + 2)Think: 82 = 80 + 2 =12(80) + 12(2)Distributive Property =960 + 24Multiply. =984 Add. Answer: 984

8. Lesson 5 CYP2 1.A 2.B 3.C 4.D A.300 B.24 C.324 D.6(50 + 4) Use the Distributive Property to find 6 ● 54.

9. Lesson 5 Ex3 Algebraic Expressions A. Rewrite 12(y + 3) using the Distributive Property. Then simplify. 12(y + 3) = 12 ● y + 12 ● 3Distributive Property Answer: 12y + 36

10. Lesson 5 Ex3 Algebraic Expressions B. Rewrite 4(y 2 + 8y + 2) using the Distributive Property. Then simplify. 4(y 2 + 8y + 2)= 4(y 2 )+ 4(8y) + 4(2)Distributive Property = 4y 2 + 32y + 8Multiply. Answer: 4y 2 + 32y + 8 BrainPop: The Distributive Property

11. 1.A 2.B 3.C 4.D Lesson 5 CYP3 A.6x – 4 B.6x – 24 C.x – 24 D.6x + 2 A. Simplify 6(x – 4).

12. 1.A 2.B 3.C 4.D Lesson 5 CYP3 A.3x 3 + 2x 2 – 5x + 7 B.4x 3 + 5x 2 – 2x + 10 C.3x 3 + 6x 2 – 15x + 21 D.x 3 + 2x 2 –5x +21 B. Simplify 3(x 3 + 2x 2 – 5x + 7).

13. Lesson 5 Ex4 A. Simplify 17a + 21a. 17a + 21a = (17 + 21)aDistributive Property = 38aSubstitution Answer: 38a Combine Like Terms

14. Lesson 5 Ex4 B. Simplify 12b 2 – 8b 2 + 6b. 12b 2 – 8b 2 + 6b = (12 – 8)b 2 + 6bDistributive Property = 4b 2 + 6bSubstitution Answer: 4b 2 + 6b Combine Like Terms

15. A.A B.B C.C D.D Lesson 5 CYP4 A.5x 2 B.23x C.5 D.5x A. Simplify 14x – 9x.

16. A.A B.B C.C D.D Lesson 5 CYP4 A.6n 2 + 15n B.21n 2 C.6n 2 + 56n D.62n 2 A. Simplify 6n 2 + 7n + 8n.