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Master the Distributive Property in 5 Minutes

Lesson targeting TEKS key concepts on Distributive Property, algebraic expressions, and combining like terms with examples and exercises to simplify expressions. Improve mental math skills and solve equations effortlessly.

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Master the Distributive Property in 5 Minutes

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  1. 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 Lesson 5 Menu

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

  3. 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)Usethe commutative, associative, and distributive properties to simplify algebraic expressions. Lesson 5 TEKS

  4. Lesson 5 KC1

  5. Distribute Over Addition or Subtraction EXERCISEJulia 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 ● 2 Distributive Property = 35 + 10 Multiply. = 45 Add. Answer: Julia walks for 45 minutes each week. Lesson 5 Ex1

  6. 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. • A • B • C • D A. 15 + 5 ● 10; 65 minutes B. 5 ● 15 + 10; 85 minutes C. 5 ● 15 + 5 ● 10; 125 minutes D. 15 + 10; 25 minutes Lesson 5 CYP1

  7. 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 + 24 Multiply. = 984 Add. Answer: 984 Lesson 5 Ex2

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

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

  10. Algebraic Expressions B. Rewrite 4(y2+ 8y + 2) using the Distributive Property. Then simplify. 4(y2 + 8y + 2) = 4(y2)+ 4(8y) + 4(2) Distributive Property = 4y2 + 32y + 8 Multiply. Answer: 4y2 + 32y + 8 BrainPop: The Distributive Property Lesson 5 Ex3

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

  12. B. Simplify 3(x3 + 2x2 – 5x + 7). • A • B • C • D A. 3x3 + 2x2 – 5x + 7 B. 4x3 + 5x2 – 2x + 10 C. 3x3 + 6x2 – 15x + 21 D.x3 + 2x2 –5x +21 Lesson 5 CYP3

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

  14. Combine Like Terms B. Simplify 12b2 – 8b2 + 6b. 12b2 – 8b2 + 6b = (12 – 8)b2 + 6b Distributive Property = 4b2 + 6b Substitution Answer: 4b2 + 6b Lesson 5 Ex4

  15. A. Simplify 14x – 9x. • A • B • C • D A. 5x2 B. 23x C. 5 D. 5x Lesson 5 CYP4

  16. A. Simplify 6n2 + 7n + 8n. • A • B • C • D A. 6n2 + 15n B. 21n2 C. 6n2 + 56n D. 62n2 Lesson 5 CYP4

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