Objectives Vocabulary Example 1 Example 2 Example 3
Objectives Vocabulary Example 1 Example 2 Example 3 Quick Quiz
• To understand apply the distributive property • To remove parentheses by multiplying • To insert parentheses by factoring expressions • To perform numerical calculations using the distributive property • To combine like terms to simplify solutions
• distributive property • equivalent expressions • expand • factor • like terms • monomial • polynomial
Find 8 × 64 mentally using the Distributive Property. 8 × 64 = 8(60 + 4) Write 64 as 60 + 4. = 8(60) + 8(4) Distributive Property = 480 + 32 Multiply 8 and 60 mentally. = 512 Add. Answer: 512 Distributive Property
Find 7 × 56 mentally using the Distributive Property. A. 77 B. 363 C. 392 D. 455 1. 2. 3. 4. A B C D
Use the Distributive Property to rewrite 4(x – 3) = 4[x + (– 3)] Rewrite x – 3 as x + (– 3). = 4(x) + 4(– 3) Distributive Property = 4 x + (– 12) Multiply. = 4 x – 12 Rewrite 4 x + (– 12) as 4 x – 12. Answer: 4 x – 12
Use the Distributive Property to rewrite 3(x – 3). A. 3 x – 9 B. 3 x – 6 C. 3 x – 3 D. x – 9 1. 2. 3. 4. A B C D
Simplify the expression 6 n – n are like terms. 6 n – n = 6 n – 1 n Identity Property; n = 1 n = (6 – 1)n Distributive Property = 5 n Simplify. Answer: 5 n
Simplify the expression 7 n + n. A. 10 n B. 8 n C. 7 n D. 6 n 1. 2. 3. 4. A B C D
Combine like terms to simplify the polynomial 6 x – 6 y + 5 x. A. 6 xy + 5 x B. 12 xy + 5 x C. 11 x – 6 y D. 1 x – 6 y 1. 2. 3. 4. A B C D
Rewrite the expression 1. 5(2 c + 10) by removing the parentheses. A. 3 c + 150 B. 3 c + 15 C. 3. 5 c + 10 D. 3 c + 1. 5 1. 2. 3. 4. A B C D
Use the distributive property to rewrite the expression 24 y + 8 y 2. A. 8 y(3 + y) B. 8 y(3 + 8 y) C. 24(y + 8 y)2 D. 8 × 3(y + y) 1. 2. 3. 4. A B C D
Find a rule that produces the table below. A. 4 n + 4 B. 1 n + 4 C. 3 n + 2 D. 4 n + 2 1. 2. 3. 4. A B C D
Image Bank Math Tools Multilingual e-Glossary Arithmetic Sequences Modeling Algebraic Expressions Distributive Property
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